Answer:
K- (-8, -2)
L- (2, -2)
J- (-8, -5)
M- (2, -5)
Step-by-step explanation:
Vertices refer to the points where the lines connect, or corners. In this problem they're represented by K, L, J, and M.
The current coordinates are-
K- (-8, -4)
L- (2, -4)
J- (-8, -7)
M- (2, -7)
Since the Y coordinate refers to vertical distance and the X coordinate refers to horizontal distance, translating them two units up would involve adding positive two to each y coordinate.
Therefore the new coordinates would be
K- (-8, -2)
L- (2, -2)
J- (-8, -5)
M- (2, -5)
Hope this was helpful! Sorry if I messed up askdjasjk
Answer:
The area of the circle is 19.5 in²
Step-by-step explanation:
First of all to solve this problem we have to know the formula to calculate the volume of a cone
v = volume = 52 in³
r = radius
h = height = 8 in
π = 3.14
v = 1/3 * π * r² * h
we solve r
3 * v /h * π = r²
we replace the known values
3 * 52 in³ / 3.14 * 8 in = r²
156 in³ / 25.12 in = r²
6.21 in² = r²
√6.21 in² = r
2.49 in = r
now that we have the radius we need to use the area formula of a circle:
a = area
r = radius = 2.49 in
π = 3.14
a = π * r²
we replace the known values
a = 3.14 * (2.49 in)²
a = 3.14 * 6.21 in²
a = 19.5 in²
The area of the circle is 19.5 in²
Answer:
x=1/5y+−4/5
Step-by-step explanation:
Let's solve for x.
y=5x+4
Step 1: Flip the equation.
5x+4=y
Step 2: Add -4 to both sides.
5x+4+−4=y+−4/5x=y−4
Step 3: Divide both sides by 5.
5x/5=y−4/5x=1'5y+−4'5
Answer:
x=1/5y+−4/5
( I hope this was helpful) >;D
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (4, 6)
Point (0, 8)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract:
- Simplify:
Answer:
Change per week: $20
Starting amount of money: $550
Step-by-step explanation:
<u>Given equation</u>:
where:
- x = number of weeks
- y = total account balance
<u>Change per week</u>
As the variable x represents the number of weeks, its coefficient represents the change per week in the amount of money.
Therefore, the change per week in the amount of money in the account is $20.
<u>Initial Balance</u>
The starting amount of money in the account (initial balance) will be the value of y when x = 0:
Therefore, the starting amount of money in the account is $550.
