Answer:
a = 12
Step-by-step explanation:
Formula for calculating the slope of a line is expressed as;
m = ∆y/∆x
m = y2-y1/x2-x1
Given
m = 1/2
x1 = a
y1 = 14
x2 = 8
y2 = a
Required.
Value of a
Substitute the given parameters into the formula
1/2 = a-14/8-a
Cross multiply
1(8-a) = 2(a-14)
8-a = 2a-28
Collect like terms
-a-2a = -28-8
-3a = -36
a = -36/-3
a = 12
Hence the value of a is 12
Width of the rectangle is 10.67 ft
<u>Step-by-step explanation:</u>
Step 1:
Let the width of the rectangle be x. Then length = 2x + 12
Given width + length = 44ft ⇒ x + 2x + 12 = 44
⇒ 44 = 3x + 12
⇒ 32 = 3x
⇒ x = 32/3 = 10.67
Width of the rectangle = 10.67 ft
Answer:
5 batteries.
Explanation:
"How many batteries lasted more than 5 1/2 hours?" which means it's counting not only 5 1/2, but 5 3/4 and 6 1/4
Answer:
You would get 17
Step-by-step explanation:
7 - (-10) = 17
Hope this helps!