What is the area of the semicircle (use 3.14 for p)?
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Answer:

y=6−3x

y=mx+b

y=−3x+6

Find the values of m and b using the form y=mx+b.

m=−3

b=6

Graph the line using the slope and the y-intercept, or the points.

Slope: −3

y-intercept: (0,6)

x, y

0,6

2,0

Step-by-step explanation:

hope this helps

Answer:

Below!

Step-by-step explanation:

The provided equation is in standard form. To convert it to slope intercept form, we need to have the y-variable isolated (as much as possible) on the L.H.S. Let's start the process by subtracting 6x both sides. This will isolate the y-variable and the cooeficient of the y-variable.

To further isolate the "y" variable, let's divide 2 both sides. This will isolate the cooeficient of the y-variable. Once the cooeficient of the y-variable is fully isolated, we simply need to simplify the R.H.S (If needed). Then, the equation obtained is in slope intercept form.

LIkewise, since the R.H.S can be simplified, let's simplify the R.H.S. The equation we obtained for now is in slope intercept form, but the simplified equation would help us to graph the line.

When we look at the slope intercept form formula (y = mx + b), we can see that "6" and "3x" needs to be switched.

Finally, lets plot the line on the graph. To plot the line on the graph, we need to determine the x-intercept and the y-intercept.

The x-intercept is the R.H.S of the equation we obtained. Keep in mind that the "y" variable will be 0.

Once we found the solution, we will determine two points of the line and lastly, we will plot the line on the graph.

Thus, we obtained the following points:

→ Then, plot these points on the graph. Remember, x coordinate first.

→ Finally, we can draw a line through these points.

And we are done!

Answer:

∠ S = 15°

Step-by-step explanation:

the secant- secant angle S is half the difference of the measures of the intercepted arcs, then

∠ S = [tex]\frac{1}{2}[/tex] (AC - EN) = [tex]\frac{1}{2}[/tex] (60 - 30)° = [tex]\frac{1}{2}[/tex] × 30° = 15°

Answer:

15°

Step-by-step explanation:

Answer:

26.75 unit^2 to the nearest hundredth.

Step-by-step explanation:

Integrating between the 2 limits:

            2                            2

Area =   ∫    e^2x dx     =   [   1/2 e^2x ]

            0                            0

= 1/2( e^4 - e^0]

= 1/2(54.598 - 1)

= 26.749

Answer: 90

Step-by-step explanation:

10 - 5 = 5 and 90/9 = 10 so x is 90

Answer:

6

Step-by-step explanation:

-28-6b=8

-6b=36

b=6

Answer:

c

Step-by-step explanation:

Answer:

Total Interest = $3.08

Step-by-step explanation:

A = P (1 + r/n)^(nt)

A = 30(1+.05/1)^(1*2)

A = 33.08

We want to find interest only so subtract principal amount from total value

33.08-30 = 3.08

Total Interest = $3.08

Total Value = $33.08

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Answer: hope this helps! :)

t - 4

—————

t - 6

Step-by-step explanation:

          t2 + 2t - 24

Simplify   ————————————

            t2 - 36    

Trying to factor by splitting the middle term

  Factoring  t2 + 2t - 24  

The first term is,  t2  its coefficient is  1 .

The middle term is,  +2t  its coefficient is  2 .

The last term, "the constant", is  -24  

Multiply the coefficient of the first term by the constant   1 • -24 = -24  

Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   2 .

    -24    +    1    =    -23  

    -12    +    2    =    -10  

    -8    +    3    =    -5  

    -6    +    4    =    -2  

    -4    +    6    =    2    That's it

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  6  

                   t2 - 4t + 6t - 24

 Add up the first 2 terms, pulling out like factors :

                  t • (t-4)

            Add up the last 2 terms, pulling out common factors :

                  6 • (t-4)

Step-5 : Add up the four terms of step 4 :

                  (t+6)  •  (t-4)

           Which is the desired factorization

Trying to factor as a Difference of Squares :

1.2      Factoring:  t2-36  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

       A2 - AB + BA - B2 =

       A2 - AB + AB - B2 =

       A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 36 is the square of 6

Check :  t2  is the square of  t1  

Factorization is :       (t + 6)  •  (t - 6)  

Canceling Out :

  Cancel out  (t + 6)  which appears on both sides of the fraction line.

Answer:

Step-by-step explanation:

Given :

Solving :

Answer:

The frequency and phase.

Step-by-step explanation:

The medium has no effect on the frequence or the phase.

Answer:

i am not sure but i think it is 280

The inequality represents all possible values for the clerk's sales, s, on Monday is 0.1s + 125 < 180.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

A clerk earns $125 per day, plus a commission equal to 10% of her sales, s. The clerk earns less than $180 on Monday.

The total commission on her sales s = 10% x s

                                                           = 0.1s

The total money earn on monday = 0.1s + 125

The inequality represents all possible values for the clerk's sales, s, on Monday.

The clerk earns less than $180 on Monday.

0.1s + 125 < 180

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Using a system of equations, it is found that:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

The theater was full, hence:

x + y + z = 277.

There are half as many adults as there are children, hence:

x = 2z.

The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults. The total ticket sales were of $2002, hence:

5x + 7y + 12z = 2002.

Replacing the second equation into the other two:

y + 3z = 277 -> y = 277 - 3z

7y + 22z = 2002.

Then:

7(277 - 3z) + 22z = 2002

z = 63

y = 277 - 3z = 277 - 3 x 63 = 88

x = 2z = 2 x 63 = 126.

Hence:

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Answer:

x = 0.71; y = 2.43

Step-by-step explanation:

y = 2x + 1

y = 9x - 4

9x - 4 = 2x + 1

7x = 5

x = 5/7

y = 2x + 1

y = 2(5/7) + 7/7

y = 10/7 + 7/7

y = 17/7

x = 0.71; y = 2.43

Answer:

1,2,3,4,5,6, 12

Step-by-step explanation:

because each of those divides 12

Answer:

1/4

Step-by-step explanation:

The slope of a line is rise over run. We can see here rise is 1 and run is 4. 1 over 4 = 1/4.

Answer:

Height of a cuboid given its volume and base area = Volume/Base Area :)

Have an amazing day!!

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Answer:

-12 and 10

Step-by-step explanation:

sorry if it's wrong

Answer:

Volume = 90in^3

Step-by-step explanation:

V = 3in x 15in x 2in = 90in^3

Answer:

Step-by-step explanation:

The volume of the prism must be found in order to solve this problem.

GIVEN:

[tex]\Longrightarrow: \sf{V=L*W*H}[/tex]

[tex]\Longrightarrow: \text{LENGTH: = 3}\\\\\Longrightarrow: \text{WIDTH: = 15}\\\\\Longrightarrow: \text{HEIGHT: = 2}[/tex]

SOLUTION:

Multiply.

[tex]\sf{3\ in*15\ in*2\ in=\boxed{\sf{90\ in^3}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

yes

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

a^2+b^2=c^2

The sides are greater than the longest side, so that is right but

81+144 should equal c^2 or 18^2, but it is not equal to it.

Answer: 7.5 × 10⁸

Step-by-step explanation:

They are both rairaised to power of 8, so you can add 5.2 and 2.3

Answer:

D

Step-by-step explanation:

it looks more like a line.

A is exponential

B is a parabola

C is no association

Answer:

m = 0.2 kg.

Step-by-step explanation:

Joint variation:

Q = kmT where k is a constant.

Subsituting the given values:

20930 = k*1*5

k = 20930 / 5 = 4186.

So the relation is:

Q = 4186mT

When Q = 8372 and T = 10:

8372 = 4186 * m * 10

m = 8372 / (4186*10)

m = 0.2 kg.

a = The cost of the pizza.

b = The cost of the pizza and sales tax.

f(a) = The cost of the pizza.

g(b) = The cost of the pizza and sales tax.

g(f(a)) = The cost of the pizza, sales tax, and delivery fee

The length of arc FH in the circle 8.37 units.

In mathematics, a circle is a closed two-dimensional shape that consists of all the points in a plane that are a fixed distance (called the radius) from a given point (called the center). Circles are used in many areas of mathematics and science, including geometry, trigonometry, and physics. They have important applications in areas such as engineering, architecture, and computer graphics.

Here,

To find the length of arc FH, we first need to find the measure of angle FGH in degrees. Since the sum of angles in a triangle is 180 degrees, we can use the fact that angles FGH and FGF are supplementary to find:

m∠FGF = 180 - m∠FGH = 180 - 86 = 94 degrees

Since FGF is an inscribed angle that intercepts arc FH, the measure of arc FH is twice the measure of angle FGF. So we have:

m(arc FH) = 2 × m∠FGF = 2 × 94 = 188 degrees

To find the length of arc FH, we need to know the circumference of circle G. Since we know that FG = 16 units, we can use this to find the radius of the circle:

r = FG/2 = 16/2 = 8 units

The circumference of the circle is then:

C = 2πr = 2π(8) = 16π

To find the length of arc FH, we need to find the fraction of the circumference that arc FH represents, and then multiply this by the total circumference. Since the measure of arc FH is 188 degrees out of a total of 360 degrees in the circle, we have:

Length of arc FH = (188/360) × C

Substituting the value of C, we get:

Length of arc FH = (188/360) × 16π

Simplifying and rounding to the nearest hundredth, we get:

Length of arc FH ≈ 8.37 units

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Answer:

FH=24.02

Step-by-step explanation: trust me

Applying the tangent ratio, the distance from A to C across the gorge, is:  60.6 ft.

The tangent ratio for solving a right triangle is given as, tan ∅ = opposite/adjacent.

Given the following:

Apply the tangent ratio:

tan 25 = AC/130

AC = (130)(tan 25)

AC = 60.6 ft

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Answer:

578.5

Step-by-step explanation: