Answer:
x=-4, y=7
Step-by-step explanation:
According to the first equation, y = -4x - 9, so we can substitute y in the second equation for -4x - 9.
y = 3x + 19
-4x - 9 = 3x + 19
Add 9 to both sides
-4x = 3x + 28
Subtract 3x
-7x = 28
Divide by -7
x = -4
Plugging this into the equation, we have:
y = -4x - 9
y = -4(-4) - 9
y = 16 - 9
y = 7
distance between two points is [(x2-x1)^2 +(y2-y1)^2]^1/2
I.e,[{5-1)^2+(0-3)^2]^1/2
[16+9]^1/2
[25]^1/2
5
Answer:
4 gallons of paint
Step-by-step explanation:
We solve using the formula for surface area of rectangular prism.
A=2(wl+hl+hw)
Where:
w = Width
h = Height
l = Length
The pool is 4 feet deep, 18 feet long, and 12 feet wide.
Hence,
=2 × (12 × 18 + 4 × 18 + 4 ×12)
=672 square feet
One gallon of paint covers 155 square feet.
Hence,
155 square feet = 1 gallon of paint
672 square feet = x
Cross Multiply
155 square feet × x = 672 square feet × 1 gallon of paint
x = 672 square feet × 1 gallon of paint/ 155 square feet
x = 4.335483871 gallons of paint
Therefore, based on the calculation above, approximately to the nearest whole number, Sierra uses 4 gallons of paint
How to find the x intercept of 3y=2x-6: (when y is 0)
3(0) = 2x - 6
0 = 2x - 6
+6 + 6
-------------------------
6 = 2x
------ -----
2 2
x = 3
How to find the y intercept of 3y=2x-6: (when x is 0)
3y = 2(0) - 6
y = 0 - 6
3y = -6
------ -----
3 3
y = -2
Answer:
C. 12
Step-by-step explanation:
With the rule of 72, you would divide 72 by the periodic interest rate to get the number of years for the principal to double
72 ÷ 6 = 12