What is the sum of the interior
angles of the polygon shown below?

Given:

The function is:

[tex]y=2x^2+3x[/tex]

Domain is the set {-2, -1, 0).

To find:

The range of the given relation.

Solution:

We have,

[tex]y=2x^2+3x[/tex]

Substituting [tex]x=-2[/tex], we get

[tex]y=2(-2)^2+3(-2)[/tex]

[tex]y=2(4)+(-6)[/tex]

[tex]y=8-6[/tex]

[tex]y=2[/tex]

Substituting [tex]x=-1[/tex], we get

[tex]y=2(-1)^2+3(-1)[/tex]

[tex]y=2(1)+(-3)[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

Substituting [tex]x=0[/tex], we get

[tex]y=2(0)^2+3(0)[/tex]

[tex]y=0+0[/tex]

[tex]y=0[/tex]

The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).

Answer:

I think the question is from Sequence.

on the basis that I have studied I think this is the way. if I am wrong sorry

Answer: the answer is 100

Step-by-step explanation:

Step-by-step explanation:

Write what you know

mean is: Sum of all data points / Number of data points

any unknown number we'll call x

so youd write

(x + $3191) / 2 = $4444

Solve for x

let me know if you need further help

Answer:

$1076.36

Step-by-step explanation:

The full price before tax can be represented by 1.00($989.76), and the 8.75% tax by                                                                       0.0875($989.76)

which can be combined to obtain the total cost:  (1.0875)($989.76) = $1076.36

Answer:

Step-by-step explanation:

top left r= 0.9 ; top right r= 0.4

bottom left r=0; bottom right r= -0.4

if they are not around a line looking like r=0

if they resemble a line well is close to r=1

if line goes up from left to right is r positive

if line goes down from left to right is r negative

Answer:

Part A: ≈112.06

Part B: B

Step-by-step explanation:

Find the surface area and volume for the separate shapes, then add them up together

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Have a good day :)

Answer: 3 quart

Step-by-step explanation:

Given

Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket

1 gallon can be written as 4 quart

So, 2 gallon can be written as 8 quart

Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added

[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]

So, 3 quart of water must be added to reach 2 gallon capacity.

Answer:

Step-by-step explanation:

kk

Answer:

y-intercept = 2 so it’s the first answer option

Step-by-step explanation: How to find the slope. Slope is rise/run so choose one point on the graph, and figure out how many squares it goes up and how many over, that’s your slope. Then, to find the y-intercept, find the point where it intersects on the y-axis, in this case it looks like 2.

Answer:

-33

Step-by-step explanation:

[tex](3^2+4-2)(2^2-3-4)[/tex]

[tex](9+4-2)(4-3-4)[/tex]

[tex](13-2)(1-4)[/tex]

[tex](11)[/tex] · [tex](-3)[/tex]

(-33)

Answer:

where is the second one?

Step-by-step explanation:

Answer:

Hi there! The correct answer should be: x is 60 degrees

Step-by-step explanation:

okay, so the equation is:

2x + 60 = 180

which we will solve:

2x + 60 - 60 = 180 - 60

2x = 120

x = 60

Answer:

m∠RST= m RT= 60°

⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒

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hope it helps...

have a great day!!

Answer: 12

Step-by-step explanation:

Answer:

(x+5)²+(y+5)²=18

Step-by-step explanation:

r=√(-8+5)²+(-2+5)²=√(-3)²+(3)²=√9+9

=√18

the equation is :

(x+5)²+(y+5)²=18

Answer:

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

Step-by-step explanation:

Here is the complete question. Please find attached a diagram showing the scaled and real drawing

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long

C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long

D. side a is 175 inches long,side b is 150 inches long, and side c is inches long

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

The scaled drawing is an enlarged image of the original triangle.

It is enlarged at a ratio of 5:1

original dimensions

a = 35/5 = 7

b = 30 / 5 = 6

c = 15/5 = 3

Answer:

15 x 20 x 4 = 1,200

6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12

12(area of 1 triangle) x 12(width) = 144

Formula area of a triangle:

B(base) x H(height) x 1/2(basically just dividing by 2)

Formula volume of a rectangular prism:

L x W x H

Answer:

1) 1200

2) 144

Step-by-step explanation:

1:

Volume Of A Cube: L * W * H

Substitute: 25 * 20 * 4

2:

Volume Of A Triangular Prisism: 0.5 * B * A * H

Substitute: 0.5(6 * 4) * 12

Answer:

Hello! answer: 22.96

Step-by-step explanation:

Area is base × height × 1/2 or base × height ÷ 2

Im going to use the second method.

8.2 × 5.6 = 45.92 45.92 ÷ 2 = 22.96 therefore the answer is 22.96

Answer:[tex]454.019\ ft^2[/tex]

Step-by-step explanation:

Given

Diameter of semi-circle is [tex]d=34\ ft[/tex]

So, its radius is [tex]r=\dfrac{34}{2}=17\ ft[/tex]

Area of semi-circle is [tex]\dfrac{\pi r^2}{2}[/tex]

[tex]\therefore \text{Area of semi-circle is }=\dfrac{\pi r^2}{2}\\\\\Rightarrow A=\dfrac{\pi \cdot 17^2}{2}\\\\\Rightarrow A=454.019\ ft^2[/tex]

Thus, the area of semi-circle is [tex]454.019\ ft^2[/tex]

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Explanation:

If XY is tangent to the circle, then the radius ZX would be perpendicular to the tangent XY. In other words, the angle YXZ would be 90 degrees.

Furthermore, it means triangle WXY would be a right triangle.

Effectively, we need to find out if triangle WXY is a right triangle.

Recall that we can use the converse of the pythagorean theorem to find out if a triangle is a right triangle or not.

We have these side lengths of the triangle:

Let's say a = 9.6, b = 12.8 and c = 16

The order of 'a' and b doesn't matter. All that matters is that c is the longest side.

Plug those values into the pythagorean theorem and simplify each side.

a^2+b^2 = c^2

(9.6)^2 + (12.8)^2 = (16)^2

92.16 + 163.84 = 256

256 = 256

We end up with a true equation, so the first equation is true for those a,b,c values. Hence, we have shown that the triangle is a right triangle, and this concludes that XY is indeed tangent to the circle.

Answer:

55%

Step-by-step explanation:

Percent spent = (amount spent / total income) x 100

( $11000 /  $20000) x 100 = 55%

Answer:

2

Step-by-step explanation:

The degree of a polynomial is its highest exponent value: in this case, thats just two!

Answer:

degree 2

Step-by-step explanation:

The degree of a polynomial is determined by the largest value of the exponent attached to the variable.

f(x) = 2x² - 5x + 6 ← has the term 2x² with exponent 2 ( largest ), then

f(x) is a polynomial of degree 2

Answer:

1 sample

Step-by-step explanation:

There is only one sample given for 20%

Answer:

the answer would be

b) 1 sample

Answer:

-0.708073 this is the exact answer im not sure if they want you to round or not

Step-by-step explanation:

Answer:

4x(10)

Step-by-step explanation:

add 3+7=10

4x is multiplying 3+7=10

4x(10)

Answer:

Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]

Step-by-step explanation:

No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].

Answer:

y ≈ 61

Step-by-step explanation:

Using the Sine rule in the triangle

[tex]\frac{y}{sin117}[/tex] = [tex]\frac{21}{sin18}[/tex] ( cross- multiply )

y × sin18° = 21 × sin117° ( divide both sides by sin18° )

y = [tex]\frac{21sin117}{sin18}[/tex] ≈ 61 ( to the nearest whole number )