Answer:
B
Step-by-step explanation:525 is the constant so no variable should be next to it
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:
4;
25
Step-by-step explanation:
x² + 2(x)(2) + 2²
x² + 4x + 4
x² - 2(x)(5) + 5²
x² - 10x + 25
Answer:
you have to use the slope equation, which is (y2-y1) / (x2-x1)
3. (5-0)/(1 -(-8))
5/1+8
5/9
4. (3-3)/(-4 -8)
0/-12
the slope is 0
6. (-2-8)/(1-0.5)
-10/0.5
-20
7. (7-(-1))/ (4-4)
7+1/0
8/0
the slope is undefined
Answer:
see below
Step-by-step explanation:
Usually, we're concerned about the relationship of y to x. Here, the question is asking you to consider the relationship of x to y.
The easiest way to find the answer to this one is to check the given explanations to see which is true. You can pretty much ignore the first row of the table and just look at the second row where x=5 and y=15.
- it is NOT TRUE that x is 3 times y (5 is not 3 times 15)
- it is TRUE that x is 1/3 of y (5 is 1/3 of 15)
- it is NOT TRUE that x is 5 times y (5 is not 5 times 15)
- it is NOT TRUE that x is 1/5 of y (5 is not 1/5 of 15)
_____
If you know your multiplication tables, you know that 15 = 3×5, so ...
5 = 15/3
5 = (1/3) × 15
The relationship of these numbers should not be a mystery.
