What is the solution?

What Is The Solution?

Answers

Answer 1

Answer: OPTION A

Step-by-step explanation:

Apply the Quadratic formula, which is:

[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

In this case:

[tex]a=1\\b=-6\\c=58[/tex]

Then, you must susbtitute these values into the quadratic formula, as shown below:

[tex]x=\frac{-(-6)\±\sqrt{(-6)^2-4(1)(58)}}{2*1}[/tex]

[tex]x=\frac{6\±\sqrt{-196}}{2}[/tex]

Keep on mind that [tex]i=\sqrt{-1}[/tex], then you can rewrite it as following:

[tex]x=\frac{6\±14i}{2}\\\\\\x=\frac{2(3\±7i)}{2}\\\\x=3\±7i\\\\x_1=3+7i\\x_2=3-7i[/tex]

Answer 2

Answer:

A. {[tex]3+7i,3-7i[/tex]}

Step-by-step explanation:

The given equation  is  [tex]x^2-6x+58=0[/tex]

Use the quadratic formula with a=1,b=-6 and c=58

Recall the quadratic formula;

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

We substitute the given values to get;

[tex]x=\frac{--6\pm \sqrt{(-6)^2-4(1)(58)} }{2(1)}[/tex]

[tex]x=\frac{6\pm \sqrt{36-232} }{2}[/tex]

[tex]x=\frac{6\pm \sqrt{-196} }{2}[/tex]

Recall that;

[tex]\sqrt{-1}=i[/tex]

[tex]x=\frac{6\pm 14i}{2}[/tex]

[tex]x=3\pm 7i[/tex]

[tex]x=3+7i[/tex] or [tex]x=3-7i[/tex]


Related Questions

*EASY* Will mark brainest!!
Question: Determine whether the pair of lines is parallel, perpendicular or neither.
x-8y=-5
y=8x-1

Answers

perpendicular! the slope of one is 1/8 while the slope of another is 8/1

Step-by-step explanation:

To solve the first equation:

x-8y=-5

-8y=-x-5

y=1/8x-5

A point on this line would be (8, -6) and (16, -3)

A point on the second line would be (1, 7) or (2, 15)

These lines are neither parallel or perpendicular.

Please help me! I really need help!

1. What is the simplified form of the following expression?

6m2 + 7.2n -4n + 2.5m2 -n

2. Simplify the following expression

1/2(22m+30)

3. Which sum or difference is equivalent to the following expression

3x+2/6


4. What is the simplified form of the following expression?

-(3y - 9z)

Answers

the first one is 8.5m2 + 2.2n ,, then the other person had the rest right . and number 3 could be 3x+1/3 ,, but it could also have different answers.

A cathedral has a large, circular stained-glass window. A visitor measures the window and calculates that it has a circumference of 25.12 yards. What is the window's area?

Use 3.14 for ​.

Answers

Final answer:

The area of the circular stained-glass window is 50.24 square yards.

Explanation:

To find the area of the circular stained-glass window, we need to use the formula for the area of a circle: A = πr². Since we know the circumference of the window is 25.12 yards, we can use the formula C = 2πr to solve for the radius. Dividing both sides of the equation by 2π, we get r = C/(2π) = 25.12/(2 × 3.14) = 3.9996 yards. Now we can substitute this value of r into the formula for the area to find the window's area: A = 3.14 × (3.9996)² = 50.24 square yards.

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And archaeologist fines 30 fossils in South Dakota and Wyoming. 40% of the fossils were in South Dakota. How many fossils were found in Wyoming?

Answers

Answer:

It is 12. 12 fossils were found in Wyoming.

Step-by-step explanation:

Find the area of the figure at the right.

Answers

Answer:

64

Step-by-step explanation:

To find the area of the figure, split it into two shapes - a trapezoid and a rectangle.

The area of the trapezoid is found using A = 1/2 (a+b)h. Substitute a = 6, b = 4 and h = 8.

A = 1/2(6+4)(8) = 1/2(10)(8) = 40

The area of a rectangle is found using A = b*h. Substitute b = 6 and h = 4.

A = 6*4 = 24

Together the area adds to 40 + 24 = 64

On a piece of paper graph y+2<1/4x-1. Then determine which answer choice matches the graph you drew.

Answers

Answer:

It graph A I'm here to help not give the wrong answer.Trust me ik how it feels

The answer choice which matches the graph we drew is Option (A)

Concept of inequality and coordinate axes -

In mathematics, inequality is a statement of an order relationship that can be greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Coordinate axes is the graph of the X and Y axis . A straight line can be plot in the coordinate axes plane by identifying its slope and the value of its y-intercept.

How to determine the graph which satisfies the inequality and the straight line given in the question ?

Given equation of straight line is y + 2 < 1/4x - 1

We solve the inequality in standard form of equation of straight line,

y < 1/4x - 3 , where slope is 1/4 and y-intercept is 3 when comparing with y = mx + c.

From the four graphs given in the Option, each and every graph has a slope of 1/4 and a y-intercept of -3 .

In Option (A) the portion indicating in the graph is the region which is less than -3 . Also from the equation, y < 1/4x - 3 we can see that the variation of the curve will always be less than -3 and it will also be a straight line and not a dotted line.

So the graph of Option(A) satisfies the straight line and inequality.

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PLEASE HELL I WILL GIVE BRAINLIEST I GOT POINTS PLEASE IK BEGGING U

Answers

Answer:

28800

Step-by-step explanation:

mutply 9 times 12 times 15 time 20

find the zero's of the function please help will mark brainliest whoever answer is helpful please help me ​

Answers

Answer:

x = -5      

x=1

Step-by-step explanation:

f(x) = 1/3 (x+5) (x-1)

We want to find the zero's so set f(x) = 0

0 = 1/3 (x+5) (x-1)

Using the zero product property

x+5 = 0   x-1 =0

x+5-5 = 0-5      x-1+1 = 0+1

x = -5                  x=1

Answer:

x = -5, 1

Step-by-step explanation:

first you want to set both parenthesised equations to zero --

x + 5 = 0        x - 1 = 0

then just solve the one step equations--

x + 5 = 0      x - 1 = 0

  -5     -5        +1     +1

x = -5           x = 1

and you can leave the 1/3 alone (it actually has nothing to do with the zero product property)

hope this helps!!

Select the domain and range of F. F = {(x, y ) | x + y = 10}. Domain: {10} Range: {10} Set F is not a function and does not contain a domain or range Domain: All Real Numbers Range: All Real Numbers

Answers

Answer:

Domain: All Real Numbers

Range: All Real Numbers

Step-by-step explanation:

F is

F = {(x, y ) | x + y = 10}

(x,y) is the ordered pair

x + y = 10  is the expression

We can rearrange it

y = 10 - x

And then we can plot it using a graphing calculator. See attached image

By looking at the plot and examining the expression, we can see that there are no restrictions over x or y.

This means that the domain and range are all real numbers

Domain: All Real Numbers

Range: All Real Numbers

F is a function because it is a relation that associates each element x to a single element y.

Equation of line that passes through points (6,-1) and is parallel to the line 5x+6y=6?

Answers

Answer:

[tex]y + 1 = -\frac{5}{6}(x-6)[/tex]

or

[tex]y = -\frac{5}{6}x +4[/tex]

Step-by-step explanation:

Parallel lines are lines which have the same slope. To write the equation of the line parallel, find the slope of the equation 5x + 6y = 6 through conversion into slope intercept form.

5x + 6y = 6 becomes y = -5/6x + 1. The slope is -5/6.

Substitute\ m =-5/6 and the point (6,-1) into the slope intercept form.

[tex]y-y_1=m(x-x_1)\\y --1 = -\frac{5}{6}(x - 6)\\y + 1 = -\frac{5}{6}(x-6)[/tex]

Convert the equation to slope intercept form by applying the distributive property.

[tex]y + 1 = -\frac{5}{6}(x-6)\\y + 1 = -\frac{5}{6}x +5\\y = -\frac{5}{6}x +5-1\\y = -\frac{5}{6}x +4[/tex]

PLEASE HELP ME!!!!!!!!!!! PLZ

Answers

Answer:

1/16

Step-by-step explanation:

1/2 divided by 8= 0.0625

There is not much that can be done to figure out how to write 0.0625 as a fraction, except to literally use what the decimal portion of your number, the .0625, means.

Since there are 4 digits in 0625, the very last digit is the "10000th" decimal place.

So we can just say that .0625 is the same as 0625/10000.

The fraction is not reduced to lowest terms. We can reduce this fraction to lowest

terms by dividing both the numerator and denominator by 625.

Why divide by 625? 625 is the Greatest Common Divisor (GCD)

or Greatest Common Factor (GCF) of the numbers 625 and 10000.

So, this fraction reduced to lowest terms is

So your final answer is:  1/16

1. 1/2 divided by 8

2.

1

——

2x8

3 equals 2x8=?

=1/?

4.

1/2 divided by that number ( the sum of 2x8) equals your answer!

Your welcome if you get it wrong so soory. Hope everything goes good!

Solve for x.

x2 + 4x - 21 = 0

A. 

-3, -7

B. 

-3, 7

C. 

3, -7

D. 

3, 7

Answers

Answer:

C.  3, -7

Step-by-step explanation:

x^2 +4x-21 =0

Factor

What 2 numbers multiply to -21 and add to 4

7*-3 = -21

7-3 = 4

(x+7) (x-3) =0

Using the zero product property

x+7 =0       x-3=0

x+7-7=0-7     x-3+3=0+3

x = -7            x=3

Answer:

C. 3, -7

Step-by-step explanation:

[tex]x^2+4x-21=0\\\\x^2+7x-3x-21=0\\\\x(x+7)-3(x+7)=0\\\\(x+7)(x-3)=0\iff x+7=0\ \vee\ x-3=0\\\\x+7=0\qquad\text{subtract 7 from both sides}\\x=-7\\\\x-3=0\qquad\text{add 3 to both sides}\\x=3[/tex]

classify the triangle by its angles

A. acute
B. right
C. obtuse
D. scalene

Answers

It is a right triangle because of the square on the bottom left which represents a 90 degree angle.

Hope this helps.

The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original number. What is the original number?

Answers

Answer:

53 add the 2 and you get 8

Step-by-step explanation:flip them 35 + 18 =53

Answer:

53

Step-by-step explanation:

 Let x = the first digit

and y = the second digit. Then,

    xy = the number

We have two conditions:

(1) x + y = 8

(2) 10y + x = 10x + y - 18

Simplify (2)                     10y + x - 10x - y = -18

                                              (3) 9y - 9x  = -18

Multiply Equation (1) by 9     (4) 9x + 9y =  72

Add Equations (3) and (4)                18y =  54

Divide each side by 18         (5)           y =    3

Substitute (5) into (1)                       x + 3 =   8

Subtract 3 from each side                   x =   5

x = 5 and y = 3

The number is 53.

Check:

(1) 5 + 3 = 8     (2) 10×3 + 5 = 10×5 + 3 - 18

         8 = 8             30  + 5 =   50  + 3 - 18

                                      35 =       53    - 18

                                      35 =            35

What is the decimal representation of seven hundredths

Answers

0.07 or .07 is the same

(Triple points, Brainliest offered) How many ways can you draw 20 cards from a deck of cards?

Answers

Answer:

About 12.6 trillion ways!

Step-by-step explanation:

See the attached photo

x= 4 6 12 help please

Answers

Answer:

12

Step-by-step explanation:

Lets c = chord inside circle

3(3 + c) = 6^2

9 + 3c = 36

3c = 27

c = 9

x = 3 + 9

x = 12

Answer:

The answer is x=12

Step-by-step explanation:

In order to determine the "x" value, we have to know about the tangent to a circle.

The line that joins two infinitely close points from a point on the circle is a Tangent. It means, the lines that intersect the circles exactly in one single point are tangents.

I have attached an image that shows a tangent to a circle. Also there is a formula that relates the segments of the circle.

According to the same notation of the image:

[tex]PS^2=PQ*PR[/tex]

In this case:

[tex]PS=6\\PQ=3\\PR=x\\6^2=3*x\\x=\frac{36}{3}=12[/tex]

Finally the answer is x=12

Order from least to greatest.
7/9. 10/9. 0.62
Please help thanks

Answers

.62, 7/9,10/9 the easyiest way to do this is by putting it in decimal form or just look 7/9 is more then .62 and 10/9 is a mixed number

Answer:

0.62, 7/9, 10/9

Step-by-step explanation:

First you want to convert the fractions to decimals.

10/9 = 1.110

7/9 = 0.778

0.62 = 0.62

then you order them from least to greatest.

0.62, 7/9, 10/9

which type of line of symmetry does the figure have ? vertical horizontal diagonal none

Answers

Answer:

vertical

Step-by-step explanation:

you can flip it and it be the same.

The type of line of symmetry that the figure has is none.

What is a line of symmetry?

It is a line, when drawn through a figure, the figure can be folded along the line of symmetry and both sides would coincide.

We can find the line of symmetry of the given figure as follows:

The given figure is a parallelogram.

It does not have a vertical line of symmetry, because when we fold the figure, both sides of the figure won't coincide.

It does not have a horizontal line of symmetry, because when we fold the figure, both sides of the figure won't coincide.

It does not have a diagonal line of symmetry, because when we fold the figure, both sides of the figure won't coincide.

Therefore, the given figure has no lines of symmetry. The correct answer is option D.

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The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 21 + 2w = 16, where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?

Answers

formula perimeter of a rectangle

= l + l + w + w

=2l + 2w

Perimeter of rectangle

21 + 2w = 16

as you know 21 is 2l,

one length

2l = 21

l =21/2

l = 10.5

Answer

10.5 inches

Answer:

[tex]l=8-w[/tex]

Step-by-step explanation:

We have been given that the perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is [tex]2l+2w=16[/tex], where [tex]l[/tex] represents the length of the rectangle and w represents the width of the rectangle.

Let us solve for [tex]l[/tex].

Factor out 2:

[tex]2(l+w)=16[/tex]

Divide both sides by 2:

[tex]\frac{2(l+w)}{2}=\frac{16}{2}[/tex]

[tex]l+w=8[/tex]

Subtract w from both sides:

[tex]l+w-w=8-w[/tex]

[tex]l=8-w[/tex]

Therefore, the expression [tex]8-w[/tex] represents length of rectangle.

What is the equation of the new function

Answers

Answer:

The answer is (A) ⇒ G(x) = 7(-x)³

Step-by-step explanation:

* In transformation:

- Reflecting across the y-axis means change the sign of x-coordinate

- Stretch vertically means multiply f(x) by constant k, where k > 1

∵ F(x) = x³

- At first we reflect it across the y-axis

∴ We must change the sign of x to -x

∴ F(x) = (-x)³

- At second we stretch it vertically by constant 7

∴ We multiply F(x) by 7

∴ F(x) = 7(-x)³

∴ The answer is (A) ⇒ G(x) = 7(-x)³

In the graph the red is F(x) , the blue is G(x)

One way to rename 5 3/10 is 4 8/10 .

Answers

Answer:

that answer is false

Step-by-step explanation:

How do I do questions 8-10?

Answers

Answer:

see explanation

Step-by-step explanation:

Divide the coordinates of the dilation by the original coordinates

(8)

[tex]\frac{6}{9}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]

(9)

[tex]\frac{12}{10}[/tex] = [tex]\frac{-8}{-15}[/tex] = [tex]\frac{6}{5}[/tex]

(10)

[tex]\frac{-9}{-1}[/tex] = 9

What is the area of the figure?



A. 180 square inches

B. 220 square inches

c. 48 square inches

D. 96 square inches

Answers

Answer:

Step-by-step explanation:

AMSWER is A .180

Let’s separate the figure into 2 parts to answer the question easier.
If we seperate he figure into 2 reasonable shapes, we get a rectangle with a width of 8 and a length of 20 and another shape with a width of 4 and a length of 5.

All we need to do to solve this question is to find the areas of both and add them together.
Let’s use the equation wl=a or width*length=area, and insert the known values for the first shape.
8*20=160
Now repeat for the second shape.
4*5=20
Finally, add the two together to get he total area.
160+20=180
The shape has an area of 180 square inches.
Hope this helps!

1] how
would you solve this equation
10+5h-6+8?

Answers

Answer:

You cannot

Step-by-step explanation:

The statement you're asking us to solve is an expression not an equation. Therefore, there isn't a solution.

Answer:

no solutions

Step-by-step explanation:

10+5h-6+8 is not equal to anything, so you cannot solve this, but you can simplify it to 5h+12 by doing 10-6 first, and then adding 8 and 5h to the answer.

Nicole reads 24 pages during a 30 minute independent reading period.At this rate how many pages would she read in 45 minutes

Answers

Answer:

36 pages

Step-by-step explanation:

divide 24 by 30=0.8 and multiply 0.8x45.

Answer:

36

Step-by-step explanation:

the hardware store where you work charges .80 cents including tax for a pound of nails. a customer purchases 5 3/4 pounds of nails. how much should you charge the customer for nails?

Answers

Answer:

$4.60

Step-by-step explanation:

The customer will pay $0.80 per pound.  They are buying 5 and 3/4 pounds of nails, so they will pay..

$0.80(5) + $0.80(3/4) for the nails...now simplify...

$4.00 + $0.60 = $4.60

Answer:

You charge 4.6 cents the customer for nails.

Step-by-step explanation:

Given :The hardware store where you work charges .80 cents including tax for a pound of nails.

To Find : A customer purchases [tex]5\frac{3}{4}[/tex] pounds of nails. how much should you charge the customer for nails?

Solution:

Cost of 1 pound of nails including tax = 0.80 cents

Cost of  [tex]5\frac{3}{4}[/tex] pounds of nails:

=[tex]0.80 \times 5\frac{3}{4}[/tex]

=[tex]0.80 \times \frac{23}{4}[/tex]

=[tex]4.6[/tex]

Hence you charge 4.6 cents the customer for nails.

how do u convert 1/4 into a percent​

Answers

First divide 1/4=0.25 and then multiply 0.25 bu 100% so the result is 25%

For the dumonitor remember that 4 x 25 is 100.

Our Multiple is 100.

So that means we need to multiply 1 and 4 by 25.

1×25 = 25 so our top number is 25.

4x25 is 100 which would be our bottom number.

We end up with 25/100.

That as a percent would be [tex]\fbox{25percent}[/tex] / 25%

Your feedback is important so I can improve answers. Please let me know how I did and what I did wrong (if so) by rating me with the stars below if you're on computer. If you are on mobile you can reply to help me out!

⬇ Note that it isn't needed. Have an amazing day!

​​

Please give me the answer

Answers

Answer:

The answer is isosceles , obtuse.

Step-by-step explanation:

I say this because if you look at the shape of the triangle, isosceles  are longest on the bottom and make it look stretched, and the top is obtuse because it is over a 90 degree angle

Answer:

Step-by-step explanation: It is an isosceles triangle and it is obtuse. So the answer would be the second one.

if the Leaning Tower of Pisa has a height of 55 meters, radius of 8 meters, what is the volume?

Answers

Answer:

3520

Step-by-step explanation:

V(cylinder) = PR(squared)H

8 squared is 64pi

times 55 is 3520

Answer:

11058 m³

Step-by-step explanation:

This is a slanted cylinder.  The volume is V = (area of base) (height), just as in the case of upright cylinders.

Here, V = πr²·h.  Subbing the givens,

          V = π(8 m)²·(55 m) = 11058 m³ is the volume of this building.  I have                   rounded this result off to the nearest 1 m³.

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