A square table in the cafeteria has the dimensions shown. What is the length of the diagonal of the table? Round to the nearest hundredth of a foot.

So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?

We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).

The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)

Plug into the vertex form:

[tex]y = (x - (-4))^2 -2[/tex]

The double negative becomes a positive, and then you're done:

[tex]y = (x + 4)^2-2[/tex]

Answer:

7. 6

8. 6

9. 12

10. 6

11. 12

12. 24

Step-by-step explanation:

The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24

It is the measure of distance between the two points is called a length.

D is the mid-point of CE. Then

CD = DE = 6

B is the mid-point of AC. Then

AB = BC

C is the mid-point of AE. Then

        AC = CE

AB + BC =  CD + DE

AB + AB = CD + CD

     2 AB = 2 CD

         AB = CD

         AB = 6

Then

AB = 6

BC = AB = 6

AC = AB + BC = 6 + 6 = 12

CD = DE = 6

CE = CD + DE = 6 + 6 = 12

AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24

More about the distance link is given below.

https://brainly.com/question/989117

X < 10

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

-6x+8x=2x

5+3=8 (when you move a number to the other side of an equals sign, it changes its value)

2x=8

2x/2 and 8/2

x=4

Answer:

X=4

Step-by-step explanation:

Answer:

the area of the square = x² = 147,852 ft²

Step-by-step explanation:

Given;

two sides of a right triangle, = 222 units and 444 units

let the third side of the right triangle that shares a side with a square = x

the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.

x² = 444² - 222²

x² = 147,852

x = √147,852

x = 384.52 ft

Therefore, the area of the square = x² = 147,852 ft²

Answer:

20 = x^2

Step-by-step explanation:

to find c^2 you need to do:

a^2 + b^2 = c^2

so- 2x2 + 4x4 = 4+16= 20

20 = x^2 and since x is squared you do not find the square root

Answer:

The answer is probably D since red and blue combined is 30 which is greater than green and yellow combined which is 20

Answer:

D

Step-by-step explanation:

Answer:

Slope = 1

y-intercept = 3

Step-by-step explanation:

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through two points (0, 3) and (-3, 0) will be,

Slope = [tex]\frac{3-0}{0-(-3)}[/tex]

Slope = 1

y-intercept of the line = distance between the origin and point of intersection of the line with y-axis

y-intercept = 3

Answer:

It should be Ratio and Proportions .

Answer:

Step-by-step explanation:

a proportion.  Both ratios are the same thing. If you divide 15000 by 30 you get 500

If you divide 210 by 30, you get 7

It is always true that a proportion will have equal equal ratios on either side of the equal sign.

Answer:

14 units

Step-by-step explanation:

Answer:

well played ahajkdjajkskdjdhdjskkskfjsiiskfks

Answer:

jsjzjdjdjdkthtabzgbgzbtzngzngzngsnysngsngdjysjysj

Step-by-step explanation:

Given

[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]

Hope it will help :)

Answer:

2÷5×75=30

Step-by-step explanation:

Answer:

Step-by-step explanation:

12.8 feet

Answer:D

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-2

Answer:

2 19/20 minutes

Step-by-step explanation:

Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?

The total number of minutes =

Number of minutes spent doing question (A + B + C)

Hence,

Hence, the number of minutes he had left for Question C is calculated as:

20 minutes - ( 11 1/4 + 5 4/5) minutes

20 minutes - ( 11 + 5 ( 1/4 + 4/5))

Lowest common denominator = 20

20 minutes - ( 16 + ( 5 + 16/20)

20 minutes - ( 16 + 21/20) minutes

20 minutes - (16 + 1 1/20) minutes

20 minutes - 17 1/20 minutes

= 2 19/20 minutes

Therefore he had 2 19/20 minutes left for Question C

Answer:

60 packets

Step-by-step explanation:

Given that :

Unit cost of 20 packets

$5.49 / 20 =$0.2745

Unit cost of 60 packets :

$10.97 / 60 = $0.1828333

Unit cost of 90 packets :

$18.95 / 90 = $0.2105555

The 60 packets has the least cost per unit, hence it is the best buy.

Answer:

9

Step-by-step explanation:

Answer:

27x^6 y^9

z^9

Step-by-step explanation:

That should be the answer,if not...sorry!:)

Answer:

5x^2+18x+5

Step-by-step explanation:

Answer:

5x² + 18x + 5

Step-by-step explanation:

Given

3x² + 8x - 1 + 2(x² + 5x + 3) ← distribute parenthesis

= 3x² + 8x - 1 + 2x² + 10x + 6 ← collect like terms

= 5x² + 18x + 5

Answer:

i was number #173

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

You have to find the lcm, and that is 56!  Hope that helps.

Answer:

4y+12x

Step-by-step explanation:

I dont have time to type sry

Answer:

An acute angle is an angle less than 90°

Answer:

A. Acute angle

Step-by-step explanation:

The angle which is less than 90 degrees is known as the acute angle.