The equation given is:
15x - 3y = 21
Slope intercept form is:
y = mx + b
15x - 3y = 21
-15x -15x
-------------------
-3y = -15x + 21
/-3 /-3 /-3
---------------------
y = 5x -7
The answer is: y = 5x - 7
Hope I helped!
-Char
Answer:
The radius of the circles are
and 
Step-by-step explanation:
Let
x-----> the radius of larger circle
y----> the radius of smaller circle
we know that

-----> equation A
Remember that
-----> equation B
substitute equation B in equation A and solve for y





Find the value of x


therefore
The radius of the circles are
and 
For this case we must find the inverse of the following function:

For this, we follow the steps below:
We change f (x) to y:

We exchange the variables:

We solve for y:

We divide between 8 on both sides of the equation:

We raise both sides of the equation to the square to remove the root:

So, the inverse is:
ANswer:
Option C
Answer:
A. 162 m²
Step-by-step explanation:
==>Given:
Isosceles trapezoid with:
base a = 19m
base b = 35m
Perimeter = 74meters
==>Required:
Area of trapezoid
==>Solution:
Recall: the length of the legs of an isosceles trapezoid are equal.
Perimeter of isosceles trapezoid = sum of the parallel sides + 2(length of a leg of the trapezoid)
Let l = leg of trapezoid.
Perimeter = 74m
Sum of parallel sides = a+b = 19+35 = 54m
Thus,
74 = 54 + 2(l)
74 - 54 = 2(l)
20 = 2(l)
l = 20/2 = 10m
Let's find area:
Area = ½(a+b)*h
a = 19
b = 35
h = ?
Using Pythagorean theorem, let's find h as follows:
h² = l² - [(35-19)/2)²
h² = 10² - [16/2]²
h² = 100 - 64
h² = 36
h = √36 = 6m
Area = ½ x (a+b) × h
= ½ × (19+35) × 6
= ½ × 54 × 6
= 27 × 6
Area = 162m²
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>

Plug the equation
into the above equation

Subtract both sides by 7

Divide both sides by 3 to isolate x

Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>

Plug in x as 12

Subtract both sides by 12 to isolate y

Therefore, the greater number equates to 31.
I hope this helps!