What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4

Answer:

79 square inches.

Step-by-step explanation:

Mark is baking a pie that has a diameter of 10 inches. he wants to cover the top of the pie with a pie crust. what is the area of the crust that will cover the top of the pie?

Pie = circle (shape)

What is the area of a circle 10 inches in diameter? ≈ 79 square inches. and r denotes the radius. = 78.5 square inches. ≈ 79 square inches.

Answer:

Step-by-step explanation:

let r be the radius of the circle.

→ We know that in circle , the length of an arc

and the corresponding central angle are proportional.

180 corresponds to πr

120 corresponds to 10π

Then

[tex]\frac{\uppi r}{180} =\frac{10\uppi }{120}[/tex]

[tex]\Longrightarrow r=\frac{180\times 10\pi }{120\pi } =\frac{180}{12} =15[/tex]

The coordinates of points C, E and G are respectively; C = (-0.75, 8.5),  E = (3.75, 7.5) and H= (7.5, 6)

The question stated that the line AB is divided into 7 equally spaced points that are tagged as C, D, E, F, G, H and I.

Note that the coordinates of A and B are  A(-3, 9) and B(9, 5) respectively and because they are known to be equally spaced, then it implies that point F is the midpoint of the line.

Thus (x, y) is said to be the coordinate of F. So;

x, y = (-3 + 9)/2, (9 + 5)/2

x, y = (6, 7)

Note also that H is the midpoint of FB. So,

H(x, y) = (6 + 9)/2, (5 + 7)/2

H(x, y) = (7.5, 6)

Since D is midpoint of A and F. therefore;

D(x, y) = (-3 + 6)/2, (9 + 7)/2

D(x, y) = (1.5, 8)

Since E is midpoint of F and D. So;

E(x, y) = (1.5 + 6)/2, (8 + 7)/2

E(x, y) = (3.75, 7.5)

C is midpoint of D and A. So;

C(x, y) = (-3 + 1.5)/2, (9 + 8)/2

C(x, y) = (-0.75, 8.5)

Therefore, we can say that the coordinates of points C, E and G are respectively; C = (-0.75, 8.5),  E = (3.75, 7.5) and H= (7.5, 6).

Learn more about line segment from

https://brainly.com/question/27868387

#SPJ1

Answer:

3

Step-by-step explanation:

[tex]9x+4y = 4y+9x = 3[/tex]

The distance of the tree from the house is: 45.99 feet

Angle of elevation is the angle the horizontal makes with the line of sight.

Analysis:

The tree lean towards a house meaning it does not lean on the house but a distance away from the house.

let the distance away from the house be d.

The line of sight intersects the top of the tree at a point.

The height of the point from the horizontal ground is 36 sin 87 = 36(0.998) = 35.92 feet

to find distance of the tree from the house, we use the angle of elevation which is 38  degrees. so that tan 38 = 35.92/d

d = 35.92/0.781  = 45.9 feet

In conclusion, the distance of the tree from the house is 45.9 feet

Learn more about angle of elevation: brainly.com/question/88158

#SPJ1

The number of seconds it takes until the ball reaches max height is 2 seconds and the maximum height is 112 feet, and the number of seconds it takes until the ball hits the ground will be 6.9 seconds.

When a body is thrown in the air then the motion under the gravity is known as projectile motion.

A person standing close the the edge on the top of a 80 foot building throws a baseball vertically upward. the quadratic function

h(t) = -8t² + 32t + 80 models the ball's height above the ground, h(t), in feet, t seconds after it was thrown.

The number of second to reach at maximum height will be

We know that at maximum height, the rate will be zero. Then we have

       h'(t) = 0

-16t + 32 = 0

            t = 2 seconds

Then the maximum height will be

h(t) = -8(2)² + 32 x 2 + 80

h(t) = -32 + 64 +80

h(t) = -32 + 144

h(t) = 112 feet

Then the number of the seconds to reach at the ground will be

-8t² + 32t + 80 = -80

-8t² + 32t + 160 =0

t² - 4t - 20 = 0

Then t will be

[tex]\rm t = \dfrac{-(4) \pm \sqrt{(-4)^2 - 4 * 1 * -160}}{2*1}[/tex]

Then we have

t = 6.9 and -2.9

More about the projectile motion link is given below.

https://brainly.com/question/11049671

#SPJ1

To find the length of the sides of this parallelogram, we just have to calculate the length of each side and then proceed to find the perimeter.

The perimeter of the parallelogram is 13 units.

To calculate the perimeter of a parallelogram, we need the values of the length of the sides. However, if we have the details of two opposite sides, we can find the perimeter of the parallelogram because opposite sides are equal.

The perimeter of MNOP can be calculated as

[tex]perimeter = 2(MP + MN)[/tex]

We can substitute the values into the equation and solve

[tex]perimeter = 2(MP + MN)\\perimeter = 2 * (4.5 + 2)\\perimeter = 2 * 6.5\\perimeter = 13[/tex]

The perimeter of the parallelogram is 13 units.

learn more on perimeter of a parallelogram here;

https://brainly.com/question/10919634

#SPJ1

Answer:

0.319

Step-by-step explanation:

I have do 13/4068*100percent hope the answer that I have gave is correct

Answer:

a = -2

p = 2

w = 3

Step-by-step explanation:

The degree of the polynomial is 6 as it has five turning points.

From inspection of the graph it appears that the curve touches
the x-axis at x = 1.  

Therefore, a factor is (x - 1) with multiplicity of 2:   (x - 1)²

The curve appears to cross the x-axis at x = 2.

Therefore, a factor is (x - 2), so p = 2

There appears to be a point of inflection at x = -1

Therefore, a factor is (x + 1)³, so w = 3

The y-intercept appears to be at (4, 0)

The product of the constants of the found factors is:  

⇒  1³ × (-1)² × (-2) = -2

Therefore, to find the value of a:

⇒ 4 = -2a

⇒ a = -2

Therefore, the polynomial function is:

f(x) = -2(x + 1)³ (x - 1)² (x - 2)

The length of major arc ACB with angle measure of 325° and diameter of 10 feet is (325/36)π

An equation is an expression that shows the relationship between two or more numbers and variables.

angle of arc ACB = 360° - 35° = 325°

The length of major arc ACB = (325/360) * π * 10 = (325/36)π

The length of major arc ACB with angle measure of 325° and diameter of 10 feet is (325/36)π

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Step-by-step explanation:

this is the problem to sum the numbers 1 ... n.

remember the old trick by adding

n + 1

n-1 + 2 = n + 1

n-2 + 3 = n + 1

...

and doing this n/2 times, giving us a sum

n×(n+1)/2

for n = 30 we get

30×31/2 = 15×31 = 465

so, 465 people will perform.

Answer: B. -3 and 7

Step-by-step explanation:

To find the zeros, just move the constants to the other side,

x - 7 ⇒ x = 7

x + 3 ⇒ x = -3

If the number is moved to the other side its sign becomes opposite

Hope it helps!

Answer:

22 pages per hour.

Step-by-step explanation:

5.5/15 = 0.36666

0.36666 * 60 = 22

Answer:

3, 11, 32, 35, 38

Step-by-step explanation:

Ascending order means to place in order from smallest to largest.

Hope this helps!

If not, I am sorry.

Answer:

6618

Step-by-step explanation:

6896 - 278 = 6618

Hope this helps

Answer:It’s 6,618

Step-by-step explanation: Since it’s less you have to subtract, 6,896 - 278 = 6,618.

Hope this helped ya! :D

Answer:

255 students

Step-by-step explanation:

we can solve for the number of students who said their favorite color was red by setting up a cross-multiplication equation.

85% is nothing but 85/100

85/100 = ?/300

85 times 300 is 25500

25500/100 = 255

give brainliest, please!

hope this helps :)

Answer:

Step-by-step explanation:

width of the rectangle = 2116 ÷ 92 = 23

Perimeter of the rectangle = 2×(23 + 92) = 230

Answer:

A. $30.76

Step-by-step explanation:

First find the amount of tax applied to the bill.

Change 7% to a decimal by moving the decimal point two places left.

7% = 0.07

Multiply

25 x 0.07 = 1.75

Add the amount of tax to the total cost.

25 + 1.75 = 26.75

Now find the amount of the tip.

Change 15% to a decimal by moving the decimal two places left.

15% = 0.15

Multiply

26.75 x 0.15 = 4.0125

Add the amount of the tip back into the cost.

26.75 + 4.0125 = 30.7625

Round

30.7625 = 30.76

Answer:

C. 1

Step-by-step explanation:

this is how you solve it

Answer:

angle c: 28.5°

angle a: 123°

Step-by-step explanation:

The probability that the number of free throws he makes exceeds 80 is approximately 0.5000.

The complete question is as below:-

A college basketball player makes 80% of his free throws. Over the course of the season, he will attempt 100 free throws. Assuming free throw attempts are independent, the probability that the number of free throws he makes exceeds 80 is approximate:____________.

A) 0.2000

B) 0.2266

C) 0.5000

D) 0.7734

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that,

A college basketball player makes 80% of his free throws.

Over the course of the season, he will attempt 100 free throws.

Assuming free throw attempts are independent.

We have to determine,

The probability that the number of free throws he makes exceeds 80 is.

According to the question,

P(Make a Throw) = 80% = 0.80

number of free throws n = 100

Binomial distribution:

Mean: n x p = 0.80 x 100 = 80

Then, The standard deviation is determined by using the formula;

[tex]\sigma[/tex] = [tex]\sqrt{np(1-P)[/tex]

  = [tex]\sqrt{80\TIMES (1-0.80)[/tex]

  = [tex]\sqrt16[/tex]

  = 4

Therefore,

To calculate the probability that the number of free throws he makes exceeds 80 we would have to make the following calculation:

P ( x> 80) = 1 - P ( x < 80)

To calculate this value via a normal distribution approximation:

P ( [tex]Z < \dfrac{80-80}{4})[/tex] = 1-P(Z < 0 ) = 1 - 0.50 = 0.500

Hence, The probability that the number of free throws he makes exceeds 80 is approximately 0.5000.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

Answer:

well the area of a circle is [tex]\pi r^{2}[/tex]

Step-by-step explanation:

since they want it in terms of pi
just say, 25[tex]\pi[/tex]

Answer:

The arrows on the line segments mean that the lines are parallel.

⇒ EB ║ DC

Therefore, according to Triangle Proportionality Theorem, EB divides the two sides AD and AC proportionally.

Therefore:

[tex]\begin{aligned}\sf \dfrac{AE}{AD} & = \sf\dfrac{AB}{AC}\\\\ \implies \sf \dfrac{10}{10+8} & = \sf \dfrac{x}{10}\\\\ \sf \dfrac{10}{18} & = \sf \dfrac{x}{10}\\\\ \sf 10 \cdot 10 & = \sf 18x\\\\\sf 100 & = \sf 18x\\\\ \sf x & = \sf \dfrac{100}{18}\\\\ \sf x & = \sf 5.5555...\end{aligned}[/tex]

As x = 5.55555... round to 5.6 to the nearest tenth,
none of the choices are correct.

Let's see

Use Thales theorem

[tex]\\ \rm\Rrightarrow \dfrac{AE}{AD}=\dfrac{AB}{AC}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{10}{10+8}=\dfrac{x}{10}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{10}{18}=\dfrac{x}{10}[/tex]

[tex]\\ \rm\Rrightarrow 18x=100[/tex]

[tex]\\ \rm\Rrightarrow x=5.56[/tex]

NOTA

Answer:

The rule to be use is

SOC CAH TOA

But in this we use d CAH cox there's adjacent and hypothenos here

Step-by-step explanation:

The first triangle

hyp²=opp.²+adj²

62²=x²+3.5²

x²=62²-3.5²

x²=3844-12.25

x²=3831.75

Answer:

This should help.

Step-by-step explanation:

The attached image will help.

The value of f(3) is 9

The table that completes the question is added as an attachment.

From the complete table, we have:

When x = 3, the value of the function is 9

This means that:

f(3) = 9

Hence, the value of f(3) is 9

Read more about functions at:

https://brainly.com/question/20896994

#SPJ1

Answer:

6.92×10 to the power inverse eleven