What value is added to both sides of the equation x^2 − 8x = −10 in order to solve by completing the square?
−8
16
−4
4

Answers

Answer 1
x^2-8x=-10
we need to get (x-a)^2 with x^2-8x to figure it out
using (x-4)^2=x^2-8x+16 we see to add 16
x^2-8x=-10
x^2-8x+16=6
(x-4)^2=6
x-4=sqrt6
x=4+sqrt6 to solve for x
Answer 2
Let's solve your equation step-by-step.x2−8x=−10Step 1: Subtract -10 from both sides.x2−8x−(−10)=−10−(−10)x2−8x+10=0Step 2: Use quadratic formula with a=1, b=-8, c=10.x=−b±b2−4ac2ax=−(−8)±(−8)2−4(1)(10)2(1)x=8±242x=4+6 or x=4−6Answer:x=4+6 or x=4−6

Related Questions

Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.



The radius of the incircle centered at point P is ? units.

Answers

what is the answer?????

Answer:

The answer is 7 units

Step-by-step explanation:

I don't know but I got it right

I think you dont need to calculate anything they gave us the answer when they said PZ=7

A student solved the problem below by first dividing 20 by 10. What mistake did the student make?

A baseball team has won 20 games and lost 10 games. What percent of the games did the team win?

Answers

50 percent. hope this helps <3

Answer:

Sample Response: The student divided the number of wins by the number of losses, instead of dividing the number of wins by the total number of games. The student should have divided 20 by 30.

Jordan bought 9 pounds of fruit. He paid $2.39 a pound for 5 pounds. He paid $1.99 a pound for the rest. How much did Jordan spend on fruit? (please let me know how you did it)

Answers

5 pounds worth cost 2.39

9 - 5 = 4

the last 4 pounds cost 1.99

so you get this equation: 5(2.39) + 4(1.99)

5 x 2.39 = 11.95
4 x 1.99 = 7.96
11.95 + 7.96 = 19.91

Jordan spends $19.91

hope this helps
so he bought 9 lbs of fruit

he paid 2.39 a lb for 5 lbs.....thats 2.39 * 5 = 11.95
and now he has (9 - 5) = 4 lbs remaining...that he paid 1.99 per lb....thats is (1.99 * 4) = 7.96

for a total of : 11.95 + 7.96 = 19.91 <==

u can basically set it up like this : total cost = 2.39(5) + 1.99(4)

if the x intercept of a line is positive and the y intercept is negative, does the line slant upwards or downwards from left to right?

Answers

From left to right, the line slants upwards like in this image:
Final answer:

If the x-intercept of a line is positive and the y-intercept is negative, the line will slant downwards from left to right.

Explanation:

The line will slant downwards from left to right. The x-intercept being positive means that the line crosses the x-axis at a point to the right of the origin. The y-intercept being negative means that the line crosses the y-axis at a point below the origin. Since the slope of a line represents the direction and steepness of the line, a positive slope combined with a negative y-intercept indicates a line that slants downwards.

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Which of the following shows the proper steps to construct a perpendicular bisector of a segment through any point?

Answers

I hope you already can see which is the correct one. Hope this help 

Martha is cycling at a speed of 20 kilometers per hour. how long will it take her to cover a distance of 60 kilometers?

Answers

60 / 20 = 3  ---->  Only 3 hours
Martha was cycling 20 kilometers per hour and she needed to go 60 kilometers
60/2= 3 hours

Two lines intersect to form a linear pair with equal measures. One angle had the measure 2x and the other angle had the measure (2y-10) find the value of x and y

Answers

Final answer:

To find the values of x and y, set up an equation by equating the two angles and solve for x and y using the given measures.

Explanation:

To find the values of x and y, we need to equate the two angles and solve for x and y.

According to the given information, the measure of one angle is 2x, while the measure of the other angle is 2y - 10.

Since the two angles are equal, we can set up the equation: 2x = 2y - 10.

Now, we can solve for x and y.

2x = 2y - 10
x = y - 5

So, the value of x is y - 5.

Final answer:

The values for x and y are found by solving the system of equations that arise from setting up the condition that two angles forming a linear pair add up to 180 degrees and are equal. The solution is x = 45 and y = 50.

Explanation:

The student's question involves finding the values of x and y when two lines intersect to form a linear pair with equal measures. Since the angles form a linear pair, they add up to 180 degrees. Therefore, we must set up an equation 2x + (2y - 10) = 180 to find the values of x and y. Because the question tells us the angles are equal, we also know that 2x = 2y - 10. Solving this system of equations will provide the values for x and y.

To solve for x, we can use the second equation directly, 2x = 2y - 10. Since the angles are equal, we substitute the first angle's measure for the second, meaning x = y - 5. Then, we can substitute x into the first equation: 2(y - 5) + 2y - 10 = 180, simplifying it to 2y - 10 + 2y - 10 = 180, which further simplifies to 4y - 20 = 180. Finally, adding 20 to both sides and then dividing by 4 gives us y = 50. With the value of y, we can then find x: x = y - 5, so x = 50 - 5, meaning x = 45.

Use the following graph to determine which function is best modeled on the graph.

Answers

We notice that (0, 2) is a point on the graph, so f(0)=2.

We check that 

a) [tex]f(0)=2\cdot3^0=2\cdot1=2[/tex]

b) [tex]f(0)=3\cdot2^0=3\cdot1=3[/tex]

c) [tex]f(0)=2\cdot1.65^0=2\cdot1=2[/tex]

d) [tex]f(0)=1.65\cdot2^0=1.65\cdot1=1.65[/tex]

So, the only possible right choices are (a) and (c).


We also see that (1, 3) is on the graph, so f(1)=3.

we can check that in a, f produces 6, but in c, it produces 3.3, which is closer to what we see on the graph.

Similarly, from the graph we see that f(2) is approximately 5.

The function in a produces [tex]f(5)=2\cdot3^2=2\cdot9=18[/tex], while

the function in c produces [tex]f(5)=2\cdot1.65^2=5.445[/tex], which is certainly closer to what we expect from the graph.


Answer: c

Sonia graphs the equations y = –x2 + 4x and y = x – 4 to solve the equation –x2 + 4x = x – 4. Her graph is shown below.

What are the solutions of –x2 + 4x = x – 4?

A. –5 and 0
B. –5 and –1
C. –1 and 4
D. 0 and 4

Answers

The line and parabola intersect at x=-1 and x=4, so your solution is C. –1 and 4

c.-1 and 4 because thats where it intercepts

HELP ME!!!!!!!!!!!!!!!1 translate each sentence into an equation

1- 7 berries are 5 less than twice the number of berries Mickey had for lunch.

2- Negative 4 times the difference of a number 7 is 12

Answers

7 - 5 x m
-4 x 3
i believe these are correct if this isnt is there any other information? 

If you flip the graph of the quadratic parent function, f(x) = x2, over the x-axis, what is the equation of the new function?

A. g(x) = –x2
B. g(x) = x–2
C. g(x) = (–x)2
D. g(x) =

Answers

i think the answer might be A.

Answer:

A. [tex]g(x)=-x^2[/tex]

Step-by-step explanation:

In flipping across x-axis a function gives its mirror image through the x-axis,

That is, when a function f(x) is flipped over x-axis,

Then the new function would be -f(x).

Here, the given function,

[tex]f(x)=x^2[/tex]

After flipping the function over x-axis,

[tex]g(x)=-f(x)[/tex]

[tex]\implies g(x)=-x^2[/tex]

Hence, option 'A' is correct.

Divide 30 by 1/2 and add 10 what is the answer?

Answers

30 divided by 1/2= 60

60 + 10= 70
30 divided by 2= 15+10 Answer= 25 I know that's not right

What is the perimeter of a polygon with vertices at (-6,-1) (-3,-4) (6,5) and (3,8) ​?

Answers

The formula of the distance between 2 points states that the distance AB between points A(a, b) and B(c, d) is found as follows:

                    [tex]\displaystyle{ AB= \sqrt{(a-c)^2+(b-d)^2} [/tex].


Let the points of the polygon be A(-6,-1), B(-3,-4), C(6,5) and D(3,8). Then, the perimeter of the polygon ABCD is
                             
                                                   AB+BC+CD+DA.

We can find each of AB, BC, CD, DA by the Distance Formula as follows:


[tex]\displaystyle{ AB= \sqrt{(-6+3)^2+(-1+4)^2}=\sqrt{9+9}=\sqrt{2\cdot9}=3\sqrt{2}[/tex].

[tex]\displaystyle{ AB= \sqrt{(6+3)^2+(5+4)^2}=\sqrt{81+81}=\sqrt{2\cdot81}=9\sqrt{2}[/tex].

[tex]\displaystyle{ AB= \sqrt{(6-3)^2+(5-8)^2}=\sqrt{9+9}=3\sqrt{2}[/tex].

[tex]\displaystyle{ AB= \sqrt{(-6-3)^2+(-1-8)^2}=\sqrt{81+81}=9\sqrt{2}[/tex].


Thus, the perimeter of the polygon is 

           [tex]9\sqrt{2}+9\sqrt{2}+3\sqrt{2}+3\sqrt{2}=24\sqrt{2}[/tex] (units).


Answer: [tex]24\sqrt{2}[/tex] units

Thomas collects dimes and quarters in his change jar. if he has 8 more dimes than quarters, and the total amount of money in the jar is $26.70, find the number of each type of coin in the jar.

Answers

Final answer:

Using algebraic expressions, we figured out that Thomas has 74 quarters and 82 dimes in his change jar, based on the total value of $26.70 and the fact that he has 8 more dimes than quarters.

Explanation:

To solve the problem involving the collection of dimes and quarters in Thomas's change jar, we need to use algebra. Let's define the variables first: let q be the number of quarters and q + 8 be the number of dimes since Thomas has 8 more dimes than quarters.

Since each quarter is worth $0.25 and each dime is worth $0.10, we can set up the following equation to represent the total amount of money ($26.70):

0.25q + 0.10(q + 8) = 26.70

Now, we simply solve for q:

Multiply each term within the parenthesis by 0.10:0.25q + 0.10q + 0.80 = 26.70Combine like terms:0.35q + 0.80 = 26.70Subtract 0.80 from both sides to isolate the variable term:0.35q = 25.90Divide both sides by 0.35 to find q:q = 25.90 / 0.35q = 74

Therefore, Thomas has 74 quarters. To find the number of dimes:

q + 8 = 74 + 8 = 82

Thus, Thomas has 82 dimes.

Thomas's change jar has a total of 74 quarters and 82 dimes.

Define the function g(x) in terms of f(x)

Answers

Function g(x) is a transformation of f(x) 3 units down and 6 units left

Hope this helps!

A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

Which shows the correct values for the variables in the table?

A. a = 18, b = 34, c = 65
B. a = 34, b = 18, c = 68
C. a = 34, b = 68, c = 47
D. a = 47, b = 18, c = 68

Answers

Answer:

The answer is B on edge 2020.

Step-by-step explanation:

I have another Brainliest ☺

Answers

Hello!

Question 7

x + 8 = -2
x + 8 - 8 = -2 - 8 (subtract 8 from both sides to remove +8 from x)
x = - 10

Choice A.


Question 8

x - 7 = -3
x - 7 + 7 = -3 + 7 (add 7 to both sides to remove -7 from x)
x = 4

Choice A.


Question 9

36½ - 24½ = 12

Choice B.


Question 10

29 - x = 17 ¼
The reason the value of the number reduces is because a number, x, is subtracted from the original value.
So when subtracting by a number, let's say variable x, the result is naturally a smaller number. (unless the variable is negative)

Choice B.

Which equation represents the value of x?

Answers

remember Pythagorean theorem

if we have a right triangle with legs a and b and hytponuse c then

[tex]a^2+b^2=c^2[/tex]


we are given a right triangle with legs x and y and hypotohuse 10

so therfor

[tex]x^2+y^2=10^2[/tex]

[tex]x^2+y^2=100

solve for x

minus y² from both sides

[tex]x^2=100-y^2[/tex]

sqare root both sides

[tex]x=\sqrt{100-y^2}[/tex]

the answer is the 4th option

An equation represents the value of x is x=√100-y².Therefore, option D is the correct answer.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

From the given triangle ABC, AB=x units, BC=y units and AC=10 units

By using Pythagoras's theorem, we get

10²=x²+y²

x²=100-y²

x=√100-y²

Therefore, option D is the correct answer.

To learn more about the Pythagoras theorem visit:

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Evaluate the functions for the domain values indicated. a. p(x) = 3x + 14 for x = −5, 0, 4 b. h(t) = t2 = 5t for t = −2, 0, 5, 7 9. Consider the sequence −7, −3, 1, 5, 9, …. a. What is f(2)? b. What is f(5)?

Answers

A is 20 and B is 29 I believe if you're using 2 and 5 for x

The coordinates of the vertices of quadrilateral RSTU are R(−4, 1) , S(4, −1) , T(3, −6) , and U(−5, −4) . Which statement correctly describes whether quadrilateral RSTU is a rectangle?

Answers

Answer:

For k12- the answer is Quadrilateral RSTU is not a rectangle because it has no right angles.


Step-by-step explanation:


Solution: A quadrilateral RSTU whose vertices are  R(−4, 1) , S(4, −1) , T(3, −6) , and U(−5, −4).

RS = [tex]\sqrt{(4+4)^{2}+(-1-1)^{2}} =\sqrt{64+4}= \sqrt{68}[/tex]

ST= [tex]\sqrt{(4-3)^{2}+(-1+6)^{2}}= \sqrt{1+25} =\sqrt{26}[/tex]

TU=[tex]\sqrt{(3+5)^{2}+(-6+4)^{2}}= \sqrt{64+4}= \sqrt{68}[/tex]

UR =[tex]\sqrt{(-5+4)^{2}+(-4-1)^{2}}= \sqrt{1+25} =\sqrt{26}[/tex]

→RS=TU, and ST=UR⇒ Opposite sides are equal.

Slope of RS = [tex]\frac{-1-1}{4+4} = \frac{-2}{8}=  \frac{-1}{4}[/tex]

Slope of TS= [tex]\frac{-6+1}{3-4} =\frac{-5}{-1}=5[/tex]

Slope of RS × Slope of TS = -1/4 × 5 = -5/4 ≠ -1, So lines are not perpendicular.

∴ quadrilateral RSTU  is not a rectangle.

What is the volume of the composite figure?

Answers

volume of a sphere is 4/3 * PI * r^3

r = 6

r^3 = 6^3 = 216

4/3 * 216 = 288

 Volume = 288 PI in^3

Identify the variables, the constant, the coefficients, and the exponents in the algebraic expression: 5x + 3y^{2} + 4. (The 2 is supposed to be little on top of the "y")

Answers

The variables are: x, y
The constant is: 4
The coefficients are: 5, 3
The exponent is: y^2

The algebraic expression 5x + 3y² + 4 has variables x and y, the constants 5, 3, and 4, the coefficients are 5 and 3 and the exponents are 1 and 2.

What is an algebraic expression?

An algebraic equation consists of terms separated by the operation of addition and subtraction.

We know in an algebraic expression a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+aⁿ,

x's are variables a's are constants and n's are exponents.

∴ In the algebraic expression 5x + 3y² + 4,

Constants are the numerical values which are 5, 3, and 4.

The variables are x and y and the exponents are the powers of the variables 2 for y and 1 for x and the coefficients are 5 and 3.

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Rachel budgeted 76.50 for school clothes. this is only 0.45 of her total budget. how much does she have in her total budget

Answers

To find the total amount, divide the amount that you have by the fraction it is, so 76.5/0.45=170, so her total is 170.  Please mark Brainliest!!!
You mean 0.45 percent?

The sum of two positive numbers is 42. What is the smalles possible value of the sum of their squares?

Answers

Okie, it is not too hard.
Set these numbers a and b, notice a, b positive.
We have a+b=42.
You can see the next on my photo

Or you can use the formula of Cauchy

A computer company can sell 130 boxes of printer paper each week at a price of $9 per box. For each $1 increase in the price, it will sell 10 fewer boxes per week. What price per box will provide the maximum revenue for the computer company?

$9

$10

$11

$12

Answers

$11 because you take ten off for every extra dollar above nine. If you do 9*130 you get $1170. If you do $10 you subtract ten from the 130 boxes of printer paper each week so that would be 130-10=120 then you multiply 120*10=$1200.  If you do $11 you subtract twenty from the 130 boxes because that's two extra dollars, 130-20=110. 110*11= $1210. If you do twenty you have to subtract 30 boxes, 130-30=100. 100*12= 1200. Therefore, $11 per box would be the highest revenue for the company.
Final answer:

The maximum revenue for the computer company is achieved at the price of $11 per box which is calculated based on the decrease in quantity sold with every $1 increase in price.

Explanation:

To find the price per box that will provide the maximum revenue for the computer company, we need to analyze how changes in price affect the number of boxes sold and the revenue generated. The company sells 130 boxes of printer paper each week at $9 per box. For each $1 increase in price, it will sell 10 fewer boxes.

Let's define the revenue function as R(p) where p is the price per box. The initial revenue is 130 boxes × $9. For each $1 increase, the revenue function becomes (130 - 10(p - 9)) × p. We need to find the value of p that maximizes this revenue function.

Let's calculate:

At $9: R($9) = 130 × $9 = $1170At $10: R($10) = (130 - 10(1)) × $10 = 120 × $10 = $1200At $11: R($11) = (130 - 10(2)) × $11 = 110 × $11 = $1210At $12: R($12) = (130 - 10(3)) × $12 = 100 × $12 = $1200

We can see that the revenue is maximum at $11 per box. So, the price per box that will provide the maximum revenue for the computer company is $11.

@ sitora @jyoung HELPPPPP PLEASE WILL GIVE BRAINLEST AND THANKS

1. first question : The graph shows a predicted population as a function of time.

Choose the one statement below that is true about this graph.


The initial population was more than 500.


The graph shows the population decreasing without bound.


The graph has an x-intercept and a y-intercept.


The graph shows quadrant III because only negative values make sense for this situation.


Based on the graph, it is predicted that it will take more than 3 years for the population to be greater than 500.


2. question

Let f(x)=3x

.

Let g(x) = 3x−2+5

.

Which two statements describe the graph of g(x) with respect to the graph of f(x)?



g(x) is translated 2 units right from f(x).


g(x) is translated 2 units left from f(x).


g(x) is translated 5 units down from f(x).


g(x) is translated 5 units up from f(x).




3. What is the equation of the function shown in the graph, given the equation of the parent function is f(x)=1.5x

?



g(x)=1.5x−2



g(x)=1.5x−2



g(x)=−2(1.5)x



g(x)=−3(1.5)x+1


4. The exponential function in the graph shows the population of Greeville in the years since 2010.

What real-world information is given by the point (6, 2707)?
Question 7 options:


The population in 2006


The population in 2010


The population in 2016


The year in which the population is twice the population in 2010

5. What is the average rate of change of the function below on the interval from x = 0 to x = 2?

f(x)=250(0.5)x

Question 8 options:


-93.75


62.5


0


-0.25

6. On the same day, Maysa and Ethan each bought one baseball card from a baseball card store.

The equation f(x)=2x+5

represents the value of Maysa's baseball card, in dollars, x years later.

The graph above shows the value of Ethan's baseball card, in dollars, x years later.

Select the one correct statement below.
Question 10 options:


When they bought their baseball cards, Maysa's card was worth $4 more than Ethan's card.


When they bought their baseball cards, Maysa's card was worth $5 more than Ethan's card.


When they bought their baseball cards, Ethan's card was worth $4 more than Maysa's card.


When they bought their baseball cards, Ethan's card was worth $5 more than Maysa's card.

Answers

Hi Gigi! 

I know it's 5 days late, and I know I'm not one of the people you asked, but I do have a few answers that I hope can still help you and other people that still need these answers. 

----------------------------------------------------------------------------------------------------


1.   Answer: Based on the graph, it is predicted that it will take more than 3 years for the population to be greater than 500.


2. I'm not sure, sorry :(


3.   Answer: g(x)=-2(1.5)^x


4.   Answer: The population in 2016.


5.   Answer: -93.75


6. Answer:   When they bought their baseball cards, Maysa's card was worth $4 more than Ethan's card.

-------------------------------------------------------------------------------------------------


I hope this helps you, baii <3





A data set contains an independent and dependent variable. Which must be true of the data set if a linear function can be used to represent the data?

The set must have a constant additive rate of change.
The set must have a constant multiplicative rate of change.
The values in the set must be positive.
The values in the set must be increasing.

Answers

The Answer is A. The set must have a constant additive rate of change.   I just got done with that test and verified that answer.  :)

Answer:- The set must have a constant additive rate of change.


Explanation:-

Let X be a data set contains an independent and dependent variable.

The standard linear function is given by

[tex]y=mx+c[/tex]  , where x is a independent variable and y is a dependent variable and m,c are the constants.

for m =1, y=x+c

for m=2, y=2x+c=x+x+c

for m=3, y=3x+c=x+x+x+c

1.Thus ,the set must have a constant additive rate of change.

2.The set must not have a constant multiplicative rate of change as the function will become exponential function given by [tex]y=Ab^X[/tex] which is not linear .

3.The values in the set can be positive or negative as the domain for linear function is the set of real numbers.

4.The values in the set must be increasing it is not necessary.



what are the roots of x in -10x^2 + 12x - 9=0

Answers

The "roots" of a function are the values of x for which y is zero. To solve this, be must use the quadratic formula, where a= -10, b=12, and c=-9
Quadratic formula:
x= [-b +/- √(b²-4ac)] ÷ 2a
Plugging in a, b, and c:
x= (-12 +/- √144 - 4(-10)(-9)) ÷ -20
 x= (-12 +/- √(144 + 360)) ÷ -20
x = (-12 +/- 6√14) ÷ -20
x  = (-12 + 6√14)/-20 or (-12 - 6√14)/ -20
x = 3/5 +/- 3√(14) / 10

Answer:

k=-11

Step-by-step explanation:

Correct for plato

If 2(m-10) +2=24, then m= ?

Answers

2(m-10) + 2 = 24

2m - 20 + 2 = 24

2m - 18 = 24

2m - 18 (+18) = 24 (+18)

2m = 42

2m/2 = 42/2

m = 21

hope this helps
So first you subtract 2 from both sides and you get
2(m-10)=22

Then divide both sides by 2:
m-10=11

And finally, add 10 to both sides
m=21

Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of a mixed number. 12z - 3 ≥ 2z - 15

Answers

12z - 3 ≥ 2z - 15
When you have to solve an equality like that, you need to put the variables apart (the numbers with letters) and the numbers apart.
So first, we need to reunite the variables, by subtracting "2z" from both sides of the equation:
12z - 3 ≥ 2z -15
12z - 2z - 3 ≥ 2z - 2z - 15
12z - 2z - 3 ≥ -15
10z - 3 ≥ 15

Then we add 3 to both sides:
10z - 3 + 3 ≥ -15 + 3
10z ≥ -12

Now divide both sides by 10
(10z)/10 ≥ -12/10
z ≥ -6/5

Now we need to write the answer as a mixed number.
-6/5 = -1.2
0.2 = 1/5
9
So -6/5 = -1 1/5.

So 12z - 3 ≥ 2z - 15 for Z ≥ -1 1/5

Hope this helps! :)
Other Questions
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