Answer:
x=2 and XM=11
Step-by-step explanation:
because M is the midpoint of the line, you know that both XM and ZM are equal and you know an expression for the lengths of both of these.
set these expressions equal and solve:
4x+3=3x+5 so by subtracting the 3x from the right side, moving it over to the left and subtracting 3 from the left side to move it over to the right, you get:
x=2
then to find XM, plug in this value of x to get XM=11
4(2)+3=11
Answer:
106 - 8h = 34
Whenever a math question says "when <em>h </em>= 9," they mean you substitute this number where <em>h </em>is in the equation.
106 - 8(9) = 34
106 - 72 = 34
34 = 34
This means the fact that h = 9 <u>is a solution for h.</u>
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B. The total area painted is 864; they must buy two cans of paint.
Step-by-step explanation:
Step 1:
A rectangle's area can be calculated by multiplying its length and its width. The wall is made up of 5 different types of rectangular walls. All walls are 8 feet tall but the length varies.
Step 2:
The area of the 20 feet long wall =
The area of the 10 feet long wall =
The area of the 5 feet long wall =
The area of the 4 feet long wall =
The area of the 15 feet long wall =
The area of all the walls = 432 square feet.
Since there are two sides for every wall, total area = square feet.
Step 3:
If one paint can covers 500 square feet,
the number of cans required to paint 864 square feet = cans.
so 2 paint cans are needed to paint 864 square feet which is option B.
Answer:
see explanation
Step-by-step explanation:
(a)
x² - 2x - 4
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² - 2x
= x² + 2(- 1)x + 1 - 1 - 4
= (x - 1)² - 5
with c = - 1 and d = - 5
(b)
x² - 2x - 4 = 0 ← using result from (a) , that is
(x - 1)² - 5 = 0 ( add 5 to both sides )
(x - 1)² = 5 ( take the square root of both sides )
x - 1 = ± ( add 1 to both sides )
x = 1 ±
Answer:
the ratio is 1 ⅓ to 1; and the unit rate is: 1 ⅓
hope it helps :)