Answer:
50%
Step-by-step explanation:
45 is half of 90. A percent is out of 100. So when you split 100 in half, it equals 50. The answer is 50%. Glad I could help!
Answer:
ok sorry i could not put this into a formula im have to go but i will show you a really easy way.
Step-by-step explanation:
for number 1 i got (7,-1)
This is because there is a slope of 1/1 between these two points. so i plotted the two points on the graph. The distance between the two points is 4. so i followed the slope 4 times and thats what i got.
The correct way for doing number 1 is using the distance formula i believe but im running out of time
for the second one i got (3, -1/2)
we do this by using the midpoint formula.
The first picture is for number one and the second for number 2
if you have any questions feel free to ask in the comments
D. x=3
I don't really know how to explain it other than the only points on the line are sitting at the x=3 and y=anything
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
-4(x + 1) + 5 = 17
Distribute -4 inside the parentheses.
(-4x - 4) + 5 = 17
Combine like terms (-4 + 5).
-4x + 1 = 17
Subtract 1 from both sides.
-4x = 16
Divide both sides by -4.
x = -4
