Answers
but the way u do it, u want to find a value that enable u to take sqrt of both sides and solve
x^2-8x+3=0
x^2-8x=-3
we need (x-4)^2 so add 16
(x-4)^2=-3+16
(x-4)^2=13
x-4=sqrt13
x=4(+/-)sqrt13
Final answer:
Completing the square is a technique used to solve quadratic equations by transforming the equation into a perfect square trinomial format. It involves a series of steps to find the value(s) of the variable.
Explanation:
Completing the square is a technique used to solve quadratic equations. It involves transforming the equation into a perfect square trinomial format. Here's how you can complete the square:
Move the constant term to one side of the equation.
Take half of the coefficient of the variable term and square it.
Add the squared value to both sides of the equation.
Factor the perfect square trinomial.
Solve for the variable term by taking the square root of both sides.
Get the value(s) of the variable.
Related Questions
Which congruence theorem would complete the proof shown?
SSS
SAS
ASA
Answers
Answer:
ASA
C is correct
Step-by-step explanation:
We are given table of congruence of triangle.
1. Given: DC || AB and AD|| BC
2. If two lines are parallel then a tranversal line makes eight angles.
∠2=∠3 and ∠1=∠4 ( Alternate interior angle )
3 . If one side is common in two figure then reflexive property use.
CA = CA (Reflexive )
If we take two triangles ΔDAC and ΔCAB are congruent by above property.
ΔDAC ≅ ΔCAB by two angle and one side.
The property of congruence is ASA
4. ΔDAC ≅ ΔCAB by ASA
Hence, The 4th reason is ASA
NEED ANSWER ASAP!!! a compound inequality is graphed, and its graph consists of all real number. which open sentence could have resulted in this solution set? A. r < 5 or r < -1 B. r < 5 or r > -1 C. r > 5 or r < -1 D. r > 5 or r > -1
Answers
r < 5 starts with a hollow circular mark on 5 (since 5 isn’t included in r), and includes everything from there to negative infinity
r > 5 starts with that same mark, but its solutions include everything from there to positive infinity (except 5)
r > -1 starts at -1 and includes everything from there to positive infinity (except -1), and r < -1 stretches to negative infinity (except -1).
We want to join together two inequalities so that their solutions span from negative to positive infinity (all real numbers); which of our options include negative infinity, and which include positive infinity?
Negative infinity: r < 5, r < -1
Positive infinity: r > 5, r > -1
We could try joining r > 5 and r < -1, but then we’d be exclude all of the real numbers between and including -1 and 5. The graphs of r < 5 and r > -1 pass right by each other and continue infinitely off to negative and positive infinity respectively, so all possible real numbers will be included in their combined range.
So, our solution is “r < 5 or r > -1”.
the answer is “r < 5 or r > -1”.
The great pyramid in Egypt was built around 2560 BC over the years it has lost 30 feet of height off its top and is now 451 feet tall. Find the original height of the great pyramid
Answers
Devin made some mistakes. Identify where he made each mistake:
24 ÷ 6 x (5 – 1)
= 24 ÷ 6 x 4
= 24 ÷ 24
= 1
Answers
In this case instead of doing 6*4 first do 24/6 first.
When the Citizens United decision was handed down, a flood of corporate cash was expected to enter the political system. The ruling did result in more corporate and union spending, but far less than anticipated because__________.?
Answers
Suppose you pay $21 for a pair of shoes that was originally $30. What was the percent of decrease in price for the shoes? Set up an equation, arrive at your answer, and check your work. Then clearly state your answer.
*SHOW WORK*
Answers
Evaluate (7² - 9 ) ÷ ( 55 - 35 ).
A: -34
B: 48
C: -4
D: 2
Answers
My father is currently 13 times as old as my daughter. next year, my father will be 11 times as old as my daughter. how many years old is my father now?
Answers
next year my daughter will be x+1 years old, my father will be 13x+1, which is also 11(x+1)
so 13x+1=11(x+1)
13x+1=11x+11
2x+10
x=5
father is 13x=65 years old now.
Simplifly by using the distributive property 4r+3(r-2)
Answers
Let's focus on the 3(r-2)
In order to distribute this, we multiply 3 to r AND -2 each
After using the distributive property, we get the following
3(r - 2) = 3r - 6
Now, let's go back to the whole equation
4r + 3(r - 2)
= 4r + 3r - 6
Combine like terms
7r - 6
That's your answer.
Have an awesome day! :)
Need help
Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.
Let x represent the number of pounds of lettuce that Kendra buys. Let y represent the number of pounds of tomatoes that Kendra buys.
Which inequality represents this situation?
A. 2.25x+2.65y>8
B. 2.25x+2.65y<8
C. 2.25x+2.65y≤8
D.2.25x+2.65y≥8
Answers
I hope this helps.
Answer: The correct option is
(D) [tex]2.25x+2.65y\geq8.[/tex]
Step-by-step explanation: Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.
x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.
We are to select the inequality that represents the situation.
We have
total amount of money that Kendra spends on lettuce is given by
[tex]a_l=2.5\times x=2.5x[/tex]
and the total amount of money that she spends on tomatoes is
[tex]a_t=2.65\times y=2.65y.[/tex]
Therefore, the inequality can be written as
[tex]a_l+a_t\geq 8\\\\\Rightarrow 2.25x+2.65y\geq8.[/tex]
Thus, option (D) is CORRECT.
Four friends compared there bike riding times. Jess rode 4.25 km in 20 min. Corey rode 3.75 km in 18 min. Mia rode 3.5 km in 17 min. Zoey rode 3.6 km in 16 min.
Who rode at the greatest rate of speed?
A.
Jess
B.
Corey
C.
Mia
D.
Zoey
Answers
Speed = 4.25: 20 = 0.212 km/min
Corey rode 3.75 km in 18 min.
S= 3.75 : 18= 0.208
Mia rode 3.5 km in 17 min.
S = 3.5 :17 = 0.205
Zoey rode 3.6 km in 16 min.
S= 3.6 :16 = 0.225
The greatest rate of speed : ZOE with 0.225 km/min
What do you do if you're looking for least common multiple and all your numbers are prime?
Answers
It’s important to remember the distinction between “greatest common factor” and “least common multiple.” A factor of a particular number is a bit like a multiplicative LEGO piece that makes it up; they’re the numbers that other natural numbers can be broken down into by division. A multiple is the opposite; a number and the number that it’s multiplied by (say, 8 x 5) *become factors* of a new number (40, in this case).
When we talk about finding the “least common multiple” of a set of numbers, what we’re asking is this: if you list out multiples of each number, what’s the *first* number in those lists they all have in common? For instance, if we wanted to find the least common multiple between 3 and 5, we could list out their multiples:
3, 6, 9, 12, 15, 18, 21
5, 10, 15, 20, 25, 30
15 is the first multiple that appears in both lists, so the least common multiple of 3 and 5 is 15.
The area of a rectangle is found by multiplying the length by the width: A = lw. A certain rectangle has an area of x 2 + 7x + 12. Factor the trinomial to find the length and width of the rectangle.
Answers
Since it is given that the formula for area is length times width and the area is already given, we are going to find out the value of the width and the length by factoring. The first thing we are going to do is to find first the factors of 12. The factor that can be used for this are 4 and 3. Then, continue with the solution.
So the correct answer for this would be the last option. l = x + 4; w = x + 3.
Please mark me Brainliest and hope this helps :)
The function b(n) = 12n represents the number of baseballs b(n) that are needed for n games. how many baseballs are needed for 15 games?
Answers
Then the number of baseballs needed for 15 games is given by b(n) = 12(15) = 180.
ed is using the recipe shown to make fruit salad he wants to use 30 diced stawberries in his vruit sald how many bananas apples and pears should ed use in his fruit sald
Answers
3 apples
6 pears
and 20 strawberrys
To get 30 we need to half 20 =10 20+10=30
That means we also needs to half the other ones
1/2 of 4 = 2 4+2=6
1/2 of 3 = 1.5 3+ 1.5=4.5
1/2 of 6 = 3 6+3=9
6 Bananas
4.5 Apples
9 Pears
30 strawberries diced.
Answer:
4
Step-by-step explanation:
What is the measure of ∠SPQ in this rhombus?
m∠SPR = (2x+13)°
m∠QPR = (3x−12)°
Answers
Solution:
In a Rhombus The diagonals bisect the angles.
m∠SPR=m∠QPR
Substituting the given values :
2x+13=3x-12
Subtracting 2x both sides:
13=3x-2x-12
13=x-12
Adding 12 both sides:
x=25.
m∠SPR=2x+13=2(25)+13=50+13=63
m∠SPQ=2∠SPR
m∠SPQ=2m∠SPR
m∠SPQ=2x63=126
m∠SPQ= 126 degrees
Which graph represents the solution set for -4(1-×)<-12+2×?
Answers
1) 4 - 4x < - 12 + 2x
2) 2x + 4x > 4 + 12
3) 6x > 16
4) x > 16 / 6
5) x > 8 / 3
So the graph is all the real numbers greater than 8/3 which may be represented by a straight line from 8/3 to the right toward infinity
//////////////////////→
---------|--------------|--------------|----------o-----|-------------->
0 1 2 8/3 3
What is the value of x using the pythagorean theorem ?
Answers
side c is 121
121-49 is 72
72 squared is your x
If three people had three cookies how many ways can they distribute the cookie
Answers
The second cookie can be distributed in 2 ways to the second person.
There is only one way to give the last cookie to the third person.
Total number of ways = 3*2*1 = 3! = 6
Answer: 6
A quarter-circle with a diameter of 4 meters. What is the area?
Answers
πr²
π(2)²
4π
Now, just multiply by 1/4.
4π * 1/4
π
Hope this helps!
Choose the correct ordered pair !!
Answers
x+y=3
y=9
To solve the equation you would substitute 9 in for y (in the first equation) and get
x+9=3
You would then subtract 9 from both sides of the equation to get
x=-6
B is the only choice where -6 is first in the ordered pair, but just to make sure, you could substitute -6 back in to the equation to get
-6+y=3
Add 6 to both sides to get y=9, and you know that the correct ordered pair is
(-6,9)
x + 9 = 3
Next, you would have to do is isolate the x. To do this, you would subtract both sides by 9.
x + 9 = 3
x = -6
So, this is what we know.
y = 9
x = -6
Now, all you would have to do is change them into coordinates. (x,y)
(-6,9)
Your answer would be B. (-6,9).
I hope this helps!
To find the value of an expression is called
Answers
Five friends made 100 dollars working together.how much did each person make if the earnings are divded equally ?
Answers
So each person made $20.00.
Hope this helps! :D
~PutarPotato
What is the slope of a line that is perpendicular to the line y = 8x + 5?
Answers
y = 8x + 5 has slope = 8
so perpendicular line slope = -1/8
answer
-1/8
Answer: [tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
The given equation of a line : [tex]y = 8x + 5[/tex]
We know that general Slope-intercept form of equation is given by :-
[tex]y=mx+c[/tex], where m is the slope of the line.
When we compare the given equation the general slope intercept form of equation , we get
Slope of line = 8
We know that the product of slopes of two perpendicular line is -1.
Let m be the slope of line that is perpendicular to the line [tex]y = 8x + 5[/tex], then we have
[tex]-8\times m=-1\\\\\Rightarrow\ m=\dfrac{1}{8}[/tex]
What is the new price of s shirt that is on sale for 50% off and has an original price of $50?
Answers
Final answer:
To calculate the new price of the shirt on a 50% sale off its original price of $50, divide the original price by 2, resulting in a new price of $25.
Explanation:
The question asks us to calculate the new price of a shirt that is on sale with a 50% discount from its original price of $50. To find the new price, you simply need to reduce the original price by the percentage of the discount. Since a 50% discount cuts the price in half, you divide the original price by 2.
Calculation:
Original price of the shirt: $50
Discount: 50% of $50 = $50 / 2 = $25
New price after discount: $50 - $25 = $25
Therefore, the new price of the shirt after a 50% discount is $25.
how do you do 36-7p=-7(p-5)
Answers
Next, add seven p to both sides and it cancels out. 36 -7p = -7p + 35.
+7p= +7p
Then minus thirty five on both sides. You get an inconclusive answer of 1=0
equation 36-7p=-7(p-5) simplifies to 36=35 after distributing and cancelling variables which results in an inconsistency. Therefore, this equation has no solutions.
Explanation:The question involves working with linear equations. From the equation, 36-7p=-7(p-5), we will aim to isolate the variable, 'p'.
In this equation, start by distributing the -7 into the bracket. So, -7(p-5) becomes: -7*p + 7*5, which simplifies to: -7p + 35. Now, your equation should look like: 36 - 7p = -7p + 35.Next, let's cancel out -7p from one side by adding 7p to both sides. You get: 36 = 35.This is an inconsistency because 36 is not equal to 35. Therefore, this equation has no solution.Learn more about Linear equations here:https://brainly.com/question/32634451
#SPJ2
Evaluate the expression choose the best answer 8P3
A. 6,720
B. 876
C. 1,680
D. 336
HELP!!!!!
Answers
= 8! / (8-3)!
= 8 x 7 x 6 x 5! / 5!
= 8 x 7 x 6
= 336
answer
D. 336
Please help with 2 questions thank you!
Show all work please!!
Answers
1 - given
2 - defination of bisector
3 - reflexive
4 - given
5 - definition of bisector
6 - ASA congruence theorem
2: SQ = SQ would be the one I would use
1. Given
2. Definition of an angle bisector
3. Reflexive property
4. Given
5. Definition of an angle bisector
6. ASA congruence
(You might have to double check these)
Question 2:
SQ is the line segment that would prove the triangle congruent by HL, since it is a shared side.
Have an awesome day! :)
How can 32 over 6 be expressed as a decimal?
Answers
trigonometry word problem