If the perimeter is 9 inches, each side is 3 inches.
The height of an equilateral triangle splits the triangle in two right sub-triangles: for example, consider a triangle ABC and the height AH starting from A, perpendicular to BC.
The triangle AHC is a right triangle, whose legs are AH and HC, and whose hypotenuse is AC.
AH is half the side, and AC is a side. So, we can use the Pythagorean theorem to find the height:
So, the area is
Answer:
a) 6x² - 8x
b) 2x² + x - 15
c) 4x² - 25
d) 2x³ + 7x² - 3x
Step-by-step explanation:
a) 2x (3x - 4)
brackets means multiplication or into
base on the question
2x * 3x = 6x^2
and
2x * (-4) = -8x
therefore
6x² - 8x
is the answer
b) (x + 3) (2x - 5)
clear brackets with (x + 3)
i. x * (2x - 5) = 2x^2 - 5x
ii. +3 * (2x - 5) = 6x - 15
add i add ii
2x² - 5x + 6x - 15
if u noticed, there are similar figures 6x and 5x, so we take like term
2x² + x - 15 answer
c) (2x + 5) (2x - 5)
clear bracket
i. 2x * (2x - 5) = 4x² - 10x
ii. 5 * (2x - 5) = 10x - 25
add i and ii
4x² - 10x + 10x - 25
collect terms
4x² - 25 answer
d) x (2x + 1) (x - 3)
I) first we deal with x(2x+1)
x * (2x + 1) = (2x² + x)
II) then we find the multiplication of
(2x² + x) (x - 3)
i. 2x² * (x - 3) = 2x³ - 6x²
ii. x * (x - 3) = x² - 3x
add i and ii
2x³ - 6x² + x² - 3x
collect terms
2x³ - 5x² - 3x
For this problem, I have to know the amount of distance to get to Room 117. If I do, I can give an exact answer to this problem. Through dimensional analysis, you have divide distance with speed to determine the time:
Time = Distance/Speed
Time = d/4
As long as you know the distance, when you substitute it to d in the equation, you can already answer the time.
3-2y-8x is it's most simplified form I think.
This iis easie guise, why don't you do it? so
point slope=y-y1=m(x-x1)
so just subsitute
first find m
m=(y2-y1)/(x2-x1)=(1/3-(-1/2))/(-2/3-3/2)=(1/3+1/2)/(-2/3-3/2)=(5/6)/(-13/6)=-5/13
m=-5/13
subsitute
y-y1=-5/13(x-x1)
subsitute
y-(-1/2)=-5/13(x-3/2)
y+1/2=-5/13x+15/26
subtract 1/2 from both sides
y=-5/13x+15/26-13/26 (1/2=13/26)
y=-5/13x+2/26
y=-5/13x+1/13
