Answer:
1st Option;
j = 4.5
k = 2
Step-by-step explanation:
Let's solve for "j" first:
=> We know that by the definition of midpoint segment theorem we can say;
3j = 5j - 9
0 = 5j - 3j - 9
0 = 2j - 9
0 + 9 = 2j
9 = 2j
9/2 = j
4.5 = j
=> Now that we have j-value we use the same method to solve for k-value;
6k = k + 10
6k - k = 10
5k = 10
k = 10/5
k = 2
Therefore;
j = 4.5
k = 2
<u>So the first option would be correct!</u>
Hope this helps!
Step-by-step explanation:
The above given expression "72t+8 " have to be factorized by the following methods.
<u>Step 1 : </u>
First we must check both numbers in order to obtain common factor for both ,for this equation "8" is the common factor for both .
<u>Step 2:</u>
After obtaining the common factor for the equation equation, we must now take the factor as common outside the bracket and form the equation as follows,
⇒ 8 * ( 9*t + 1 )
Here there are the two factors for the equation " 72 t+ 8 " that are <u>8 </u>and <u>9t+1.</u>
<u>Step 3 (optional) : </u>
Now check weather the factors are correct or not by multiplying factors with each other.
Multiplying ,
⇒ 8 * ( 9*t + 1 )
Gives -
⇒ 72 t+ 8
C. 35, it would otherwise be seen as 35/1
Hope this helps
To solve this problem, we will subtract the volume of the cylinder from the volume of the rectangular prism.
The volume of a cylinder is: pi*r^2*h
Substitute 2 in for r and 6 in for h. If the diameter is 4, then the radius is 2.
pi*2^2*6
pi*4*6
pi*24
=75.4 ft^2
The volume of the rectangular prism is: l*w*h.
Substitute 6 in for l, w and h, since all edges are equal.
6*6*6
36*6
=216 ft^2
Subtract 75.4 from 216
216-75.4=140.6
There is 140.6 cubic feet of concrete left in the block.
