Answer:r = -1
Step-by-step explanation:
8+8r-(3+3r)=0
We add all the numbers together, and all the variables
8r-(3r+3)+8=0
We get rid of parentheses
8r-3r-3+8=0
We add all the numbers together, and all the variables
5r+5=0
We move all terms containing r to the left, all other terms to the right
5r=-5
r=-5/5
r=-1
Hope this helps
Answer:
A)2
Step-by-step explanation:
we would like to integrate the following definite Integral:
use constant integration rule which yields:
notice that we can rewrite √x using Law of exponent therefore we obtain:
once again use law of exponent which yields:
use exponent integration rule which yields;
simplify which yields:
recall fundamental theorem:
simplify:
hence
our answer is A
Think of the 13-ft length of the ladder as the hypotenuse of a right triangle. Represent the horiz. distance from foot of ladder to base of tree by x, or 5 ft.
Represent the vert. dist. from base of tree to top of ladder by y, which is unknown.
Then (13 ft)^2 = (5 ft)^2 + y^2, or
169 ft^2 = 25 ft^2 + y^2. This simplifies to y^2 = 144. Thus y = + 12 feeet.
Note: Please pay attention to your spelling: "lader i up agenst a tree" should be "the top of a 13-ft ladder is placed against a tree."
Hey there!
Let's set up our expression:
(7a-6b+7)-(8a-2)
In order to simplify, we can use that subtraction sign and distribute it, using the distributive property. We have:
7a-6b+7-8a+2
Notice how it's plus two, because a negative times a negative two is a positive two. Now, it's a matter of finding the like terms and adding or subtracting them. These like terms can either have no variable, or have different coefficients but the same variable. That means our like terms are the 7a and -8a, and the 7 and 2. There's no like term for the 6b. That means we have:
(7a-8a) - 6b + (7+2) =
-a - 6b + 9
Hope this helps!
FGHI
Step-by-step explanation:
The square FGHI needs to be created into a reflection for true congruence of the figure thus transformed across the axis.
FGHI's co-ordinates' signs are to be reversed for reflection thus coordinates:
2,-5
4,-5
2,-7
4,-7
are made into
-2,5
-4,5
-2,7
-4,7
