Yes. If you substitute the ordered pair for the variables each equation is true.
Answer: Shortest side = 6 inches, Medium side = 10 inches and Longest side = 11 inches
Step-by-step explanation: The perimeter has been given as 27 inches, and we know that the perimeter of any given figure is the addition of all sides. The sides are unknown yet, but we have clues as follows;
The longest side is 5 inches longer than the shortest side, hence the longest side equals s + 5. The medium side is 4 inches longer than the shortest side, hence the medium side equals s+ 4. Th shortest side remains s.
Therefore with the perimeter given as 27, we now have the expression;
s + s + 4 + s + 5 = 27
3s + 9 = 27
Subtract 9 from both sides of the equation
3s = 18
Divide both sides of the equation by 3
s = 6
Hence, the sides of the triangle are given as 6, (6+ 4) and (6+ 5), which is,
6 inches, 10 inches and 11 inches.
<span>The exponent of a number says how many times to use the number in a multiplication.</span><span>In 82 the "2" says to use 8 twice in a multiplication,
so 82 = 8 × 8 = 64
</span><span>In words: 82 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared"</span>
Answer:
a= 3 b=6 c= 5
Step-by-step explanation:
An equation in point-slope form that passes through point P(a,b) is as follows:
y-b=m(x-a) where m=slope, a,b are coordinates of point P.
For a line to pass through P(4,-8)
the equation will look like:
y-(-8) = m(x-4)
simplify left side
y+8=m(x-4)
The given equation has a slope of m=-1/2, so the slope of a line perpendicular to it has a slope of -1/m = -1/(-1/2)=+2
Now go through the answer choices:
a. y+8=2(x-4) => passes through P(4,-8) and has a slope of 2. so TRUE
b. y-4=2(x+8) => has a slope of 2, but passes through (-8,4), which is not P so FALSE
c. y+8=(1/2)(x-4) => passes through P(4,-8), but has the wrong slope (a reflection, not perpendicular) so FALSE
d. y-8=(1/2)(x+4) => passes through a wrong point (-4,8) and has the reflected slope (not perpendicular) so FALSE