What rule describes the translation?<br> Write tule as an ordered pair

PLEASE HELP

NeTakaya

Answer:

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct

Step-by-step explanation:

step 1

Find the area of the base of the rectangular pyramid

we know that

The volume of the rectangular pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the base

H is the height of the pyramid

we have

$V=40\ units^{3}$

$H=6\ units$

substitute and solve for B

$40=\frac{1}{3}B(6)$

$120=B(6)$

$B=120/6=20\ units^{2}$

step 2

Find the volume of the rectangular prism with the same base area and height

we know that

The volume of the rectangular prism is equal to

$V=BH$

we have

$B=20\ units^{2}$

$H=6\ units$

substitute

$V=(20)(6)=120\ units^{3}$

therefore

The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct

3 0

4 years ago

Gary just started a new job as a nurse. he is given a starting salary of $58,550 per year. he is also told that his salary will

IRINA_888 [86]

Firts we need to find the rate of change, or in other words, the slope of the line.

Question 1:

a)

For this we can take two points in the form (years, salary). Then we can define as year 0 the year when Gary starts to work. In this year the salary is $58,550. The first point is (0, $58,550)

The next point we can take is at the year 10, when the salary of Gary will be $71,950. The second point is (10, $71,950)

b) Now that we have the two points, we can use the slope formula to get the rate of change. The slope formula is, for two points A and B:

$\begin{gathered} \begin{cases}A(x_a,y_a) \\ B(x_b,y_b)\end{cases} \\ m=\frac{y_a-y_b}{x_a-x_b} \end{gathered}$

In this case, we can call the points A(0, $58,550) and B(10, $71,950). Using the formula:

$m=\frac{58,550-71,950}{0-10}=\frac{-13400}{-10}=1340$

c) "The rate of change in Gary's salary is $1340 per year."

Question 2:

a) The slope intercept form of a line is:

$y-y_1=m(x_{}-x_1)$

Where:

y is the output of the function.

x is the input of the function. (we provide the function with a value for x and the function give us a value of y)

m is the slope of the line. We calculate it in question 1.

x1 is the x coordinate of a point we choose.

y1 is the y-coordinate of the same point of x1.

In this case, we know:

m = 1340;

And we can take the point (0, $58,550), thus:

x1 = 0

y1 = 58,550

b) Now we need to use all this values and use the slope-intercept form:

$y-58,550=1340(x-0)$

And solve to get:

$y=1340x+58,550$

Question 3:

a) Now we have a equation for the salary, we can use this to find the salary in 13 years. We just need to replace x = 13 in the equation:

$\begin{gathered} \begin{cases}y=1340x+58,550 \\ x=13\end{cases} \\ y=1340\cdot13+58,550 \\ y=75,970 \end{gathered}$

B) The salary of Gary in 13 years will be $75,970.

6 0

1 year ago

Rewrite using distributive property 21+30

Anarel [89]

Answer:

(20 + 1) + (30)

Step-by-step explanation

i think that is the answer sorry if i'm wrong

4 0

3 years ago

Okay that it 5^4x-13=125

Novosadov [1.4K]

Answer:

x=86250

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(1/5)^4*x-13-(125)=0

Step by step solution :

STEP

1

:

1

Simplify —

5

Equation at the end of step

1

:

1

(((—)4) • x) - 13) - 125 = 0

5

STEP

2

:

Equation at the end of step

2

:

1

((—— • x) - 13) - 125 = 0

54

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 625 as the denominator :

13 13 • 625

13 = —— = ————————

1 625

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (13 • 625) x - 8125

—————————————— = ————————

625 625

Equation at the end of step

3

:

(x - 8125)

—————————— - 125 = 0

625

STEP

4

:

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 625 as the denominator :

125 125 • 625

125 = ——— = —————————

1 625

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

(x-8125) - (125 • 625) x - 86250

—————————————————————— = —————————

625 625

Equation at the end of step

4

:

x - 86250

————————— = 0

625

STEP

5

:

When a fraction equals zero :

5.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-86250

——————— • 625 = 0 • 625

625

Now, on the left hand side, the 625 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-86250 = 0

Solving a Single Variable Equation:

5.2 Solve : x-86250 = 0

Add 86250 to both sides of the equation :

x = 86250

One solution was found :

x = 86250

7 0

3 years ago

Solve for x. <br><br> 3x = 2/5

Elena-2011 [213]

X = 0.4/3
x = 13
if answer is wanted in decimal form.

6 0

4 years ago

What rule describes the translation? Write tule as an ordered pair