Answer:
Kai built the bookshelf shown below. The bookshelf is 48 inches tall with a solid board on the back, and EACH shelf measures 18 inches wide by 24 inches long. If Kai wants to paint all the surfaces, including the undersides of both shelfs and the base, as well as both sides of the bookshelf’s back and sides, how many square FEET will he paint?
Step-by-step explanation:
Answer:
x=-5 y=2
Step-by-step explanation:
1) multiplying equation 1 by 4 and multiplying equation 2 by 2 .
2)adding them we get value of y.
3) replacing value of y in either of given equation
Answer:
The answer to your question is l = 12 and w = 7/2 or 3.5
Step-by-step explanation:
Data
length = l
width = w
Area = 42 yd²
Process
1) Write equations that help to solve this problem
Area = length x width = l x w
Length = 2width + 5 or l = 2w + 5
2) Substitution
42 = lw Equation l
l = 2w + 5 Equation ll
42 = (2w + 5)w Substitute equation ll in l
3.- Expand
42 = 2w² + 5w
2w² + 5w - 42 = 0
Solve the equation by factoring
-Multiply 2 by 42
2 x 42 = 84
-Find the prime factors of 84
84 = 2² 3 7
-Find two numbers that added gives +5 using the prime factors
These numbers are +12 and -7
-Substitute the values in the equation
2w² -7w + 12w - 42
-Factor by grouping
w(2w - 7) + 6(2w - 7)
(2w - 7)(w + 6)
-Find w
2w₁ - 7 = 0 w₂ + 6 = 0
w₁ = 7/2 w₂ = -6 This value is discarted because
there are no negative values
-Find l
l = 2(7/2) + 5
l = 7 + 5
l = 12
Answer:
Sylvia will be 17 years old.
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Use the slope formula when given two points
Slope formula = 
( the x and y values are determined by the given points )
Given the points ( 0 , 5 ) and ( 1 , 3 )
Plug in the x and y values of the given points into the formula
( remember y values on top x values on bottom )
Hence, the answer is D
