f(x) = -x^2
Find f(-6)

Answer:

Area = 77.1

Step-by-step explanation:

The are of a right triangle is

[tex] \frac{1}{2} \times base \times height[/tex]

our base and height are 6 for both triangles, so we shall find the area of one of the triangles...

[tex] \frac{1}{2} \times 6 \times 6 = 18[/tex]

multiply this by 2

[tex]2 \times 18 = 36[/tex]

Now find the area of the whole circle

[tex]area = \pi {r}^{2} [/tex]

our radius is 6, therefore:

[tex]area = \pi {6}^{2} = 113.1[/tex]

Finally, subtract the area of the two triangles from the total are of the circle. The difference left over is our answer

[tex]113.1 - 36 = 77.1[/tex]

Answer:

Exact Area = 36pi - 36  square meters

Approximate Area = 77.04 square meters (when using pi = 3.14)

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Explanation:

The circle has radius r = 6 meters. The area of the circle is...

A = pi*r^2

A = pi*6^2

A = 36pi

This is the exact area in terms of pi.

Because we have two right triangles, and each right triangle has the same leg length, we can effectively use the SAS theorem to prove the triangles are congruent. Therefore, both of the triangles shown have the same area. One triangle is a rotated copy of the other.

The area of one of the triangles is base*height/2 = 6*6/2 = 18 square meters. That means two of them combine to an area of 18*2 = 36 square meters.

Subtract this from the area of the circle to get the green shaded area

green area = (circle area) - (triangle areas)

green area = (36pi) - (36)

green area = 36pi - 36

This is the exact area in terms of pi. If you want the approximate area, then replace pi with its approximate value. Let's say we go for pi = 3.14

That means,

green area = 36pi - 36

green area = 36*3.14 - 36

green area = 77.04 square meters approximately

Use more decimal digits in pi to get a more accurate area value.

Answer:

b is the correct answer ok

Answer:

[tex]x=\frac{3+-\sqrt{13}}{2}[/tex]

Step-by-step explanation:

Answer:

[tex]C(h)=120*2^h[/tex]

Step-by-step explanation:

[tex]C(h)=120*2^h[/tex]

Doubling needs a base of 2, and the original number will need to be multiplied by two.

I don't know how to explain so I'm going to just give an example.

After an hour the original number doubles so 120*2

After two hours: 120*2*2

After 3 hours: 120*2*2*2

2*2 can also be written as [tex]2^2[/tex]

and 2*2*2 can be written as [tex]2^3[/tex]

So the number of hours passed is the exponent, and the base is 2 because the original number is being doubled.

Answer: 1/25

Step-by-step explanation:

Number of balls = 10

Number of purple balls = 2

Since it's probability with replacement,

Probability of picking a purple ball the first time = 2/10 = 1/5

Probability of picking a purple ball the second time = 2/10 = 1/5

Therefore, the probability of picking a purple ball both times will be:

= 1/5 × 1/5

= 1/25

Answer:

504 km

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

167-152=15

This is the number of people that only brought pens

167-84=83

This is the number of people that only brought pencils.

167-15-83=69

This is the number of people that brought both pencils and pens.

Answer:

10

-1

1

2

Step-by-step explanation:

f(3) this one we use the second question (because the value that x is equal to is between 0 and 4)

3²+1=10

f(6) = -1 because this value is greater than 4

because the second equation has 0 inclusive we use this one for f(0)

0²+1=1

F(-3) for this one the answer is just two because x is less than 0

Answer:

Step-by-step explanation:

Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.

2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.

Answer:

[tex]y = \frac{1}{x - 5} [/tex]

Answer:

He can make 5 pillows.

Step-by-step explanation:

1 pillow = 2/3 yards

? = 3 1/3 yards ( 10/3 yards)

10/3 ÷ 2/3

10/3 × 3/2= 5 pillows.

Answer:

18 *0.5*5=45

Step-by-step explanation:

Area of triangle is: 0.5 * base * height

Answer:

I'm pretty sure it's 13 sorry if I am wrong

Answer:

1. 102 ft^2     2. 33 ft^2     3. 112 ft ^2

Step-by-step explanation:

you have to find the area of each section of each shape, then add

Answer:

1.233 2.92.35 4.28474

Step-by-step explanation:

jwksjeususbus6s6s6vsv6w7bw78wb7w6ev6ezeubehu

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex] \sqrt{66 - 4 + 2} \\ = > \sqrt{62 + 2 } \\ = > \sqrt{64} \\ = > 8[/tex]

Answer:

[tex] \sqrt{66 - 4 + 2} [/tex]

[tex] \sqrt{64} [/tex]

[tex] \sqrt{8²} [/tex]=±8 is a required answer

Answer:

7

Step-by-step explanation:

got it right on the test

Answer:

7.1 meters

Step-by-step explanation:

Use the pythagorean theory:

10 would be the hypotenuse

7 would be one of the legs

and x (or whatever variable you'd like) would be the other leg.

7^2+x^2=10^2

49+x^2=100

subtract 49 from both sides

x^2=51

take the square root on both sides

x is approximately 7.1

Answer:

3.7

Step-by-step explanation:

Answer:

9 x + 8 y = 10   (I)

y = -4x + 7        (II)

One way is to rewrite the second as

4x + y = 7

Now multiply this equation by 8

32 x + 8 y = 56

9 x + 8 y = 10        and now subtract the equations

23 x = 46     this gives x as 2

From equation (II)  y = -4 (2) + 7  = -1

So our values are (2, -1)

Check:

(I) 9 x + 8 y = 10         9 * 2 - 8 = 10

(II)  4 x + y = 7       or 4 * 2 - 1 = 7

Or you can substitute equation (II) directly into equation (I)

Answer:

b = 30°

Step-by-step explanation:

a + b + 90° = 180°

60° + 90° + b = 180°

150° + b = 180° ( subtract 150° from both sides )

b = 30°

Answer: Solution

−

2

+

2

−

2

x

+

x

2

−2x+2x​

Step-by-step explanation: Divide the numbers

2

−

1

⋅

2

2

⋅

−

3

+

2

4

⋅

2

x

Multiply the numbers

2

−

1

⋅

1

−

3

+

2

4

⋅

2

x

−

1

⋅

1

x

−

3

x

+

2

4

⋅

x

2x−1⋅1x−3x+42​⋅x

2

−

−

3

+

2

4

⋅

−

1

⋅

2

2

⋅

x

−

3

x

+

2

4

⋅

x

2x−1⋅22​⋅x−3x+42​⋅x

2

−

1

⋅

1

−

3

+

2

4

⋅

2

x

−

1

⋅

1

x

−

3

x

+

2

4

⋅

x

2x−1⋅1x−3x+42​⋅x

Divide the numbers

2

−

−

3

+

2

4

⋅

2

x

−

x

−

3

x

+

2

4

⋅

x

2x−x−3x+42​⋅x

2

−

−

3

+

1

2

2

x

−

x

−

3

x

+

1

2

x

2x−x−3x+21​x

Answer:

a) [tex]32[/tex]

b) [tex]25[/tex]

d) [tex]30[/tex]

Step-by-step explanation:

[tex](2 \times 2 \times 2 \times 2 \times 2 \times)[/tex]

[tex]32[/tex]

[tex](5 \times 5 × 5)[/tex]

[tex]125[/tex]

[tex] \sqrt{ {30}^{2} } [/tex]

[tex]30[/tex]

Answer:

10.8 / 6 = 1.8

Answer:

1.8

Step-by-step explanation:

10.8/6=10.8/6×10/10=108/6=1.8

Answer:

A=Bh

Step-by-step explanation:

use that formula for your calculation and it should help hopefully

Answer:

i think its the first one y<1/3x-1

Answer:

The second answer choice

Step-by-step explanation:

Answer:

y=1/4x-1

Step-by-step explanation:

So lets start off by going over what slope intecerp form is.

Slope intercept form looks like this:

y=mx+b

Lets go over the different values in this formula:

y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.

m is always teh slope. The slope is y/x, basically just the change in y over the change in x.

x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.

Lastly we have b. This is what y equals when x is 0.

Lets use this to make our slope intercept.

So we have:

y=mx+b

y and x are not going to have a written value, so we only need to determine m and b.

So lets find b.

B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)

The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).

So b will be: -1/-4, or just 1/4:

y=1/4x+b

Now lets find b.

Lets specificly lookat what y equals when x is 0 on the graph.

We can see the point is (0, -1)

So the y intercept is -1. This means b is equal to -1:

y=1/4x-1

This is your slope intercept!

Hope this helps! :D

Sorry for bad grammar, I am writting on a strange keyboard.