Answer:
one solution
Step-by-step explanation:
4(x - 5) = 3x + 7
4x - 20 = 3x + 7
4x - 3x = 7 + 20
x = 27
Answer: A) 66 In
Step-by-step explanation:
2 sides are 23 Inches
2 Sides are 10 Inches
So you add 23 + 23 + 10 + 10 = 66 to get the perimeter
Answer:
Step-by-step explanation:
Equation: y=mx+b
m is the gradient while b is the y-intercept
Let's first find the slope (also known as the gradient) by choosing two points.
The formula to find the slope is change in y divided by change in x.
So two points are: (-2,0) and (0,5)
Change in y: 5-0 (we use the y-coordinates)
Change in x: 0--2 (0+2) (we use the x-coordinates)
So: 5-0= 5 and 0+2= 2 which means 5 divided by 2
Slope= 5 over two
To find the y-intercept we need to see where the line crosses the y-axis which would be at (0,5)
So: y-intercept is 5 as that's where the line crosses the y-axis.
Equation now: y= 5 over 2x +5
The number of years past when Alan was twice Vanessa's age is 14 years.
Current ages :
- Alan = 30 years
- Vanessa = 22 years
<u>We can set up an equation where, x = number of years when Alan was 2 times Vanessa's age thus</u> :
30 - x = 2(22 - x)
30 - x = 44 - 2x
Collect like terms
-x + 2x = 44 - 30
x = 14
Therefore, 14 years ago, Alan's age was twice Vanessa's age.
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