Answer:
y=-x+5
Step-by-step explanation:
first, let's find the slope of the line (m), using the equation (y2-y1)/(x2-x1)
here are the given points: (4,1) and (8,-3)
label the points:
x1=4
y1=1
x2=8
y2=-3
now substitute into the equation
m=(-3-1)/(8-4)
m=(-4)/4
m=-1
the slope of the line is -1.
Now, use slope-point form, which is y-y1=m(x-x1)
substitute the numbers into the equation
y-1=-1(x-4)
do distributive prop
y-1=-x+4
add 1 to both sides
y=-x+5
the equation of the line is y=-x+5
hope this helps :)
Answer:
The answer is a= 15
Step-by-step explanation:
First, you multiply both sides by 5. 5*3 = 15 and a/5*5 = a, since 5 and 5 cancels out each other. This is optional, then you flip the equation to get a= 15. Hope this helps.
A= 1/2 h ( sum of bases)
SUBSTITUTE
6550= 1/2h (115+85)
6550=1/2h (200)
6550= 100h
65.5= h
height is 65.5 cm
Hope this helps
Answer:
2 (x - 5) (x^2 + 5 x + 25)
Step-by-step explanation:
Factor the following:
2 x^3 - 250
Factor 2 out of 2 x^3 - 250:
2 (x^3 - 125)
x^3 - 125 = x^3 - 5^3:
2 (x^3 - 5^3)
Factor the difference of two cubes. x^3 - 5^3 = (x - 5) (x^2 + x 5 + 5^2):
2 (x - 5) (x^2 + 5 x + 5^2)
5^2 = 25:
Answer: 2 (x - 5) (x^2 + 5 x + 25)
A great way to organize this would be to make a t-chart!
<u>Triangular Prism | Triangular Pyramid
</u> |
<u />*2 triangular bases | *1 triangular base
|
*3 lateral faces in the | * 3 lateral faces in the
shape of rectangles | shape of triangles
