What is the area of the trapezoid?

Answer:

the area is 200.96

Step-by-step explanation:

Answer:

89.135

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

(2 means squared) (c is the hypotenuse)

a2+b2=c2

a2+ (12×12) = (20×20)

a2+144=400

a2=256

a=16

Answer:

y = [tex]\frac{1}{3}[/tex] x² - 2x - 2

Step-by-step explanation:

x-coordinate of the vertex of a parabola is ( [tex]- \frac{b}{2a}[/tex] )

y = f(x) = ax² + bx + c

(x, y) ∈ f(x)

~~~~~~~~~

{ (0, - 2), (3, - 5) } ⊂ { (x, y): y = ax² + bx + c }

a(0)² + b(0) + c = - 2 ⇒ c = - 2

a(3)² + b(3) + ( - 2) = - 5  

9a + 3b - 2 = - 5 ⇒ 3a + b = - 1

[tex]- \frac{b}{2a}[/tex] = 3 ⇒ b = - 6a

[tex]\left \{ {{3a+b=-1} \atop {b=-6a}} \right.[/tex]

3a + ( - 6a) = - 1

a = [tex]\frac{1}{3}[/tex]

b = - 2

y = [tex]\frac{1}{3}[/tex] x² - 2x - 2

The equation of the parabola for the given values is y = x²/3 - 2x - 2.

A parabola is the part of the conic section of which the points are equidistant from a fixed line called as directrix and a fixed point known as focus.

The general equation for the parabola is given as,

y = ax² + bx + c

Where c is the y-intercept.

Substitute c = -2 as per the question to obtain,

y = ax² + bx - 2

At (3,-5) the parabola has minimum value which implies y' = 0 as below,

y' = 2ax + b = 0

Substitute x = 3 to obtain,

2a × 3 + b = 0

=> -6a = b

And, y = -5 at x = 3 which gives,

-5 = 3²a + 3b - 2

=> 9a + 3b = -3

Substitute b = -6a to get,

9a - 18a = -3

=> a = 1/3

Which implies b = -6 × 1/3 = -2

Now, the equation for the parabola becomes as below,

y = x²/3 - 2x - 2

Hence, the required equation of the parabola is obtained as y = x²/3 - 2x - 2.

To know about parabola click on,

https://brainly.com/question/4074088

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Answer:Who is BRIANNA

Step-by-step explanation:

Answer:

What's the question???

Step-by-step explanation:

Answer:

11012.4

Step-by-step explanation:

4 + 11000 = 11004

11004 + 8.4 = 11012.4

Answer:

corrcect

Step-by-step explanation:

Base times Hight

Answer:

wrong subgect

Step-by-step explanation:

Answer:

95.0

Step-by-step explanation:

Area of a circle

A = πr2

Radius is half the diameter = 11/2 = 5.5

A = π x 5.5 x 2

= 95.033177...

= 95.0

Answer:

A

Step-by-step explanation:

3 times steep means slope is 3 times

slope=4

new slope =3×4=12

translated 7 down means y intercept-7=1-7=-6

so new eq. is y=12x-6

Answer:

A

Step-by-step explanation:

So we know that the slope is 4, and we want to make it 3 times as steep, so that would be 12. The y-intercept is one and we want to move it down 7 units, 6-7= -1. So our final answer would be y= 12x-6!

Answer:

im not sure

Step-by-step explanation:

Answer:

the answer is 135

Step-by-step explanation:

Answer:

625

Step-by-step explanation:

it is essentially 5*5*5*5

Answer:

I uploaded a file hosting link for your question!

See below for more details!

bît.ly/peoplefallfortraps

Step-by-step explanation:

Cookies-x

Cakes-y

x+y=64; he sold a total of 64 cakes and cookies.

x=3y-4; he sold 4 less (-4) than 3 times (3y) the number of cakes he sold.

Answer:

(x + 1)(x + 3)eˣ

Step-by-step explanation:

Since f(x) = (x + 1)²eˣ

df(x)/dx = d[(x + 1)²eˣ]/dx

By the product rule, duv/dx = udv/dx + vdu/dx

where  u =  (x + 1)² and v = eˣ

So,  df(x)/dx = d[(x + 1)²eˣ]/dx

= (x + 1)²deˣ/dx + eˣd(x + 1)²/dx

= (x + 1)²eˣ + eˣd(x + 1)²/d(x + 1) × d(x + 1)/dx  (by the chain-rule dy/dx = dy/du × du/dx)

= (x + 1)²eˣ + eˣ[2(x + 1) × 1]

= (x + 1)²eˣ + 2eˣ(x + 1)

= (x + 1)eˣ(x + 1 + 2)

= (x + 1)eˣ(x + 3)

= (x + 1)(x + 3)eˣ

Answer:

one solution

Step-by-step explanation:

by subsitution,elimination and comparison

Answer:

4 (2a+3b)^2

Step-by-step explanation:

(4a+6b)^2 = (4a+6b) * (4a+6b) = 16a^2 +48ab + 36b^2

take 4 common factor

4 (4a^2 + 12ab + 9b^2) =  4 (2a+3b)^2

Answer:

113.04 cm³

Step-by-step explanation:

diameter = 6cm

so radius = 3cm

Volume of sphere = [tex]\frac{4}3}[/tex][tex]\pi r^3[/tex]

= 4 * 3.14 * 3 * 3 *3 / 3

=  4 * 28.26

= 113.04 cm³

Answer:

B) A dot plot would show 7 points for numbers greater than 2.

D) A histogram would have a maximum of 7 bars.

Step-by-step explanation:

quiz on edg told me ;)

The true statements are:

B. dot plot would show 7 points for numbers greater than 2.

D. histogram would have a maximum of 7 bars.

A dot plot uses dots to show each data point, while for histogram, the frequency for the data values are depicted by bars or bins.

In the data ste given, 7 of the data points are greater than 2. So, the dot plot for the data distribution would display 7 points for values greater than 2.

Also, there are 7 different values, which are from 0 - 6. This will require 7 bars if we want to represent the data on a histogram.

Therefore, the true statements are:

B. dot plot would show 7 points for numbers greater than 2.

D. histogram would have a maximum of 7 bars.

Learn more about the dot plot and histogram on:

https://brainly.com/question/14577528

option D is the correct answer.

Answer:

sin ∅ = 24/25

Step-by-step explanation:

These are the trigonometric ratios

Remember SOHCAHTOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

We are asked to find sin ∅

The trig function sin = opposite over hypotenuse

so we need to find the opposite side length of the indicated angle (∅)

The opposite side length is equal to 24

Then we find the hypotenuse ( the longest side length ) which would be 25

so sin ∅ = 24/25

Answer:

y>0,        -3>x> -1

y<0,        -3<x<-1

y = 0,       x = -3 and x = -1

Step-by-step explanation:

Answer:

Agree with the other answer but for RSM users, if y>0, type in: x>-1, x<-3 or the server won’t accept your answer.

Have a good day!

Answer:

Step-by-step explanation:

I can help

Step 1

0.8(m - 5) = 10  Simplify

Step 2

0.8(m - 5) = 10  simplify the equation

0.8m-4=10

Step 3

0.8m-4=10  Add 4 to the sides

0.8m=14

Step 4

0.8m=14  Divide the sides by 0.8

17.5

Answer

m=17.5

Hope this helps

Answer:

I can't help you too much but for the first one its never repeat your ex

Answer:

the first pic is 400 and the

second pic u got right its 500

Answer:

2. 400       1. 500    5.  160     3.  560

I went in order of the pictures so the numbers are weird.

Answer:

D

Step-by-step explanation:

if you look at the first, second, and third it makes a crooked line. Linear equations MUST have a straight line, or it is not a linear function.

Answer:

Area of the rectangular logo is 56cm²

Step-by-step explanation:

If we look at the picture the 2 trapezoids make a rectangle.

The length of the rectangle = 9+5= 14 cm  and the breadth = 4 cm

Area of the rectangle = Length * breadth

A= 14*4= 56cm²

Area of the rectangular logo is 56cm²

Area of the trapezoid = 28 cm²

Area of the trapezoid = 1/2height( base1+ base2)

                              = 1/2 (4) ( 5+9)

                               = 2(14)= 28 cm²

Area of 2 trapezoids = 28 cm²+28 cm²=  56 cm²