Graph the image of D(4,7) after a translation 8 units left and 8 units down.

Answer:

RQ = 7.4

Step-by-step explanation:

From the right triangle PQR,

m∠Q = 90°

m∠P = 55°

Hypotenuse PR = 9

By applying sine rule in the given triangle,

Sin(55°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

0.819152 = [tex]\frac{\text{RQ}}{\text{PR}}[/tex]

0.819152 = [tex]\frac{RQ}{9}[/tex]

RQ = 9×0.819152

RQ = 7.37

     ≈ 7.4

Answer:

The cost is a fixed $2, plus $3.25 for any additional hour.

Then if you rent it for x hours, the cost is:

c(x) = $2 + $3.25*x

Is this situation continuous or discrete?

Yes, it is discrete, because x is "the number of hours"

so if you rent it for 1.30 hours, they will say "ok, this is equivalent to two hours".

This means that while the values of x are continuous, the possible costs are:

{$2, $2 + $3.25, $2 + 2*$3.25, ....}

Which is a discrete set.

Then the sign for 1 to 5 hours will be:

1 hour ---------- $2 + $3.25 = $5.25

2 hours -------- $2 + 2*$3.25 = $8.50

3 hours--------- $2 + 3*$3.25 = $11.75

4 hours--------- $2 + 4*$3.25 =  $15

5 hours -------- $2 + 5*$3.25 = $18.25

In the other park the cost is only $4 for each hour (no fixed cost) then the total cost for x hours is:

c(x) = $4*x

Now, which option is better?

If we look at the costs for different numbers of hours for this other equation, we have:

1 hour ----- $4

2 hours ---- 2*$4 = $8

3 hours ----- 3*$4 = $12

4 hours ------ 4*$4 = $16

Then: if you want to skate 2 hours or less, Skate City is cheaper, if you want to skate more than that, kate Days is cheaper.

This happens because the first one has a smaller slope, meaning that is larger at first, but as x grows the price does not grow as much as in Skate City

Answer:

150

Step-by-step explanation:

Answer:

150 walnuts

Step-by-step explanation:

450= 9 x x= bags

450/3 = 150

9/3= 3

150 walnuts= 3x

Answer:

[tex] \frac{225}{68} = t[/tex]

Answer:

x<1

Step-by-step explanation:

Answer:

x<1

Step-by-step explanation:

Answer:i believ the its the last one

Step-by-step explanation:

For end behaviour, note the leading coefficient and the degree. The degree is odd and the leading coefficient negative, hence it would rise to the left and fall to the right.

Answer:

D on ed

Step-by-step explanation:

Answer:5/3

Step-by-step explanation:

Step-by-step explanation:

YOU JUST FOLLOW THE STEP

Answer:

Step-by-step explanation:

The line of symmetry passes through the vertex of the parabola

The vertex is determined by the formula:

Substituting values from the given equation:

Answer:

24 feet, 24 feet, 30 feet

Step-by-step explanation:

edge 2020

The given perimeter of 108 feet, and length of the longer side of 30 feet,

gives the following length of the other sides;

A kite has two pairs of adjacent sides having equal length

Let x represent the length of one of the shorter sides, we have;

Which gives;

x = (108 - 2 × 30) ÷ 2 = 24

The length of one of the short side, x = 24 feet

The kite has 2 sides of length 24 feet and 2 sides of length 30 feet

The lengths of the other sides are therefore;

Learn more about kites here:

https://brainly.com/question/18313843

Hey there! Let's answer each part of this question in order.

If Pedro withdrew [tex]\$35[/tex] per week, his change in balance could be represented as [tex]-35x[/tex] since [tex]x[/tex] is the number of weeks. Add this to his initial balance of [tex]\$710[/tex] to get the first answer:

[tex]\huge\boxed{710-35x}[/tex]

The same concepts can be applied to solve the next part. Maria started off with [tex]\$570[/tex] in her account and withdrew [tex]\$25[/tex] each week. Apply the same process from the first part to get the second answer:

[tex]\huge\boxed{570-25x}[/tex]

For the last part, we need to find the value of [tex]x[/tex] that makes the expressions we made in the first two parts equal to each other, so start by making them into an equation.

[tex]\huge\boxed{710-35x=570-25x}[/tex]

Now we need to solve this equation. Start by bringing the constants to the right and the variables to the left.

Keep in mind that when you move a term to the other side of the equation, you need to change its sign, as you are adding or subtracting the same number from both sides of the equation.

[tex]\begin{aligned}710-35x&=570-25x\\-35x&=570-25x-710\\-35x+25x&=570-710\end{aligned}[/tex]

Now, combine the like terms with addition and subtraction.

[tex]\begin{aligned}-35x+25x&=570-710\\-10x&=-140\end{aligned}[/tex]

Finally, divide both sides of the equation by [tex]-10[/tex] to fully isolate the variable and find the final answer.

[tex]\begin{aligned}-10x&=-140\\x&=14\ \text{(weeks)}\end{aligned}[/tex]

[tex]\huge\boxed{14\ \text{weeks}}[/tex]

We can also check our answer by substituting the final answer back into each expression, simplifying, and making sure the answers are equal.

[tex]\begin{array}{l|l}710-35x&570-25x\\710-35*14&570-25*14\\710-490&570-350\\220&220\end{array}[/tex]

Since the expressions are equivalent, we know that Pedro's balance is the same as Maria's balance after [tex]14[/tex] weeks.

Answer:

1200feet

Step-by-step explanation:

Given the the road's curve elevation modeled by the equation

y = 0.00005x^2 - 0.06x,

x is the horizontal distance in feet between the points where the road is at sea level and;

y is the elevation

The elevation the road is equal to sea level when y = 0

Substitute y = 0 into the equation and calculate x;

0 = 0.00005x^2 - 0.06x

0.06x = 0.00005x^2

0.06 = 0.00005x

x = 0.06/0.00005

x = 1200 ft

Hence they will place the stop sign at a horizontal distance of 1200feet

Answer:

x= 58+46-180

z=x

y=z+13-180

Answer:

addition property of equality. hope that helps!

Step-by-step explanation:

Answer:

addition property of equality

Step-by-step explanation:

Answer:

The number pattern is that the decimal point moves one place to the left each time.

Next three numbers: 7.3456, 0.73456, 0.073456

Step-by-step explanation:

Answer:

A, C, B

Step-by-step explanation:

A $3.87 ÷ 3 = $1.29 each

B $2.38 ÷ 2 =  $1.19 each

C $8.75 ÷ 7 = $1.25 each

greatest to least would be A, C, B

I hope this helps, please mark Brainliest, thank you!

Answer:

Domain:(−∞,∞),{x|x∈R}  

Range:(−∞,∞),{y|y∈R}

Step-by-step explanation:

Answer:

Slope: 3/2

Y-intercept: (0,-6)

Step-by-step explanation:

Use the slope-intercept form y=Mx+b to find the slope m and y intercept b.

Answer:

1/3.

Step-by-step explanation

1/12 * 24 = 2 players suspended leaving 22 players.

So the number injured = 22 - 14 = 8.

Fraction injured = 8/24 = 1/3.

Answer:

choice a and b are equal

Step-by-step explanation:

You divide 30÷2,49

and 40÷3,32 they both equal 12,04

Answer: First option, “22”

Step-by-step explanation:

Step-by-step explanation:

1.m<U=54

3.m<F=72

5.x=7

Answer: I think it might be 2.

Answer:

6p =120

Step-by-step explanation:

well the p's are very close together in a sense that we are going to multiply instead of add because they the p's would have space in between

6 * 20 = 120

so p= 20

choose A

and P=20

6p is equal to 6×20

to get P, do 120÷6

Answer:

Draw a x then place a horizontal line to cut the highest quarter piece in half

A circle with 7 pieces is given below.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

Here is one way to divide a circle into 7 pieces using only 3 lines:

Draw a horizontal line across the middle of the circle to create two equal halves.

Draw a vertical line that intersects the horizontal line at the center of the circle.

Draw a diagonal line from the top of the circle to the bottom, passing through the center point.

This should create 7 pieces in the circle: two halves, four quarters, and one central piece that is shaped like a kite.

Therefore, the diagram of the image is given below.

To learn more about the circle;

https://brainly.com/question/29142813

#SPJ3

Answer:

Tu recibiste = $1714,3  

Reiner recibió = $857,1

Julio recibió = $3428,6

Step-by-step explanation:

Podemos encontrar el dinero que recibieron todos mediante la siguiente expresión:

[tex] A + R + C = 6000 [/tex]

Dado que A recibió 2 veces más que el dinero que Reiner y C recibió 4 veces lo que recibió Reiner, entonces:

[tex] 2R + R + 4R = 6000 [/tex]

[tex] R = \frac{6000}{7} = 857,1 [/tex]

Ahora, podemos encontar cuanto recbieron los otros dos primos:

[tex] A = 2R = 2*\frac{6000}{7} = \frac{12000}{7} = 1714,3 [/tex]

[tex] C = 4R = 4*\frac{6000}{7} = \frac{24000}{7} = 3428,6 [/tex]

Por lo tanto, tu recibiste $1714,3, Reiner recibió $857,1 y Julio recibió $3428,6.  

Espero que te sea de utilidad!                

Answer:

Step-by-step explanation:

It is incorrect as obtuse angle is greater than 90°

Correct answer

Answer:

1:  12x + 8                  

2:  21y  - 3

3:  15p + 20r

Step-by-step explanation: