Answer:
b = 7
Step-by-step explanation:
So first I'm going to rewrite the equation to 6(b+3)+8b= 116.
Taking the first part 6(b+3), we see that that is equal to 6 * b + 6 * 3.
So that will be 6b + 18.
Let's bring put it back together. 6b + 18 + 8b = 116. We can now combine the terms since they both have 'b'.
(6b + 8b) + 18 = 116 = 14b + 18 = 116.
Now lets isolate our variable. To do that we need to get rid of our 18 so lets subtract it from both sides.
(116 - 18 = 98)
14b = 98
Now lets divide both sides by 14.
14b/14 = 98/14 = b = 7
b = 7
Answer:
see the procedure
Step-by-step explanation:
we have that
we know that
To obtain the value of g(x), multiply the value of h(x) by one-half
so
1) For x=-4, h(x)=256
therefore
For x=-4, g(x)=128
2) For x=-2, h(x)=16
therefore
For x=-2, g(x)=8
3) For x=0, h(x)=0
therefore
For x=0, g(x)=0
4) For x=3, h(x)=81
therefore
For x=3, g(x)=40.5
5) For x=6, h(x)=1296
therefore
For x=6, g(x)=648
Answer:
SSS
Step-by-step explanation:
it shows that all three sides are congruent by the congruency lines
it does not show any angles, and it does not show only one or two sides are congruent
Answer: D. No, a and b are interchangeable, and C is the longest side.
Step-by-step explanation:
Either A and B which are the two legs can be greater than the hypotenuse which is C. They hypotenuse has to always be greater than the two legs and the two legs have the same lengths but it can't be greater than the hypotenuse.
For example let's say you have a right angle with side lengths 3,4 and 5.
5 in this case has to be always the hypotenuse.
A could be either 3 or 4 but not 5
And B could also be 3 or 4 but not 5
because A squared plus B squared is always equal to the hypotenuse which is 5.
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
Answer:
y = 1/2x - 4
Step-by-step explanation:
y - (-2) = 1/2(x - 4)
y + 2 = 1/2x - 2
y = 1/2x - 4