Answer:
b=16
Step-by-step explanation:
Formula~ 1/2*b*h
1/2*15*b=120
7.5b=120
b=120/7.5
b=16
(you can substitute the value to check-i've done it below)
1/2*16*15=?
if you work it out, the ans will be 120, therefore the ans is correct!
Answer:
The value of (x + y)³ is 1728.
Step-by-step explanation:
First, you have to find the value of x + y :
x² + 2xy + y² = 144
x² + xy + xy + y² = 144
x(x + y) + y(x + y) = 144
(x + y)(x + y) = 144
(x + y)² = 144
x + y = √144
x + y = 12
Next, the value of (x + y)³ :
(x + y) = 12³ = 1728
Answer:
C. T = 4n+6/2
Step-by-step explanation:
4n = 2(T-3)
or, 4n = 2T-6
or, 4n + 6 = 2T
or, 4n + 6 / 2 = T
or, T = 4n + 6 / 2
Answer:
y=2x+5
Step-by-step explanation:
The equation of a line in slope intercept form is written as: y=mx +b where m is the slope and b is the y-intercept.
Taking point (-1,3) , m= 2 and imaginary point on the line, (x,y) then ;
m=change is y-coordinates/change in x-coordinate
m=Δy/Δx
m=y-3/x--1
2= y-3 / x+1
2(x+1) = y-3
2x +2 =y-3
2x=y-3-2
2x=y-5
<u>y=2x+5 is the equation.</u>
The answer to the first problem is the top left corner because it is the only one with a -3 y-intercept and that's in the problem
To find the answer of the second problem you find the slope of the two points with the formula y2-y1 divided by x2-x1 and you just plug it in so 5+1 (the minus signs cancel out and turn into positives) divided by 4-2 and which is 6/2 which is 3 is your slope. then you could plug this information into a point slope form using either point I'm just going to choose the one with no negatives so plugging this in would be y-5=3(x-4) then you distribute the 3 and that gives you y-5=3x-12 then
+5 +5 add five to both sides of the equation and get
y=3x-7 and then you can put that into standard form which would be -3x+y=-7 and your answer would be the second one.