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
1. Plug in -3 for a
14-(-3)^2
14-9
5
Final answer: 5
2. 15 more than r=15+r (notice the keyword more) equals 61
Final answer: r+15=61
Answer:
5
Step-by-step explanation:
378 divided by 9 = 42
210 divided by 42=5
Answer:
3100ft
Step-by-step explanation:
There are 2 sides to the prism that have an area of 50ft * 10ft or 500ft. The total of those will be 500ft * 2 or 1000ft. There are 2 more sides to the prism that have an area of 30ft * 10ft or 300ft. The total would be 300ft * 2 or 600ft. Then the last two sides to the prism have an area of 50ft * 30ft or 1500ft. Since we're imagining this prism to be a house, you can't paint the floor (well, I guess you could but I think they want us to leave that part out because you can't pick the house up to paint the bottom that would be ridiculous). So the surface area is each area added, or 1000ft + 600ft + 1500ft = 3100ft.
11/10 is closer to 1.
To solve for this, give them common denominators. Lets make it 80 for this one.
To get 80, you multiply 8 by 10, so you have to do the same to the number on top. This gives you 70/80.
To get 80 for the second fraction, you multiply by 8 and get 88/80.
Now lets take the numbers on top and subtract them from 80.
88 - 80 = 8
80 - 70 = 10
8 is less than 10, and so 11/10 is closer.
