Answer:
You do -17 + -10 inorder to change the operation used because both negatives does not mathematically look nice.
Step-by-step explanation:
To isolate the unknown, we need to move all the numbers on one side of the equal sign and all the unknow variables on one side.
Here we move 10 on the other side by taking away 10 both sides
10 + 3x = -17
-10 -10
then we are left with only 3x on one side and -27 on the other side because -17 - -10 = -27 , in this case it is acknowledge to change the operation from minus to add because the two minus are together, so we say -17 + -10 .
3x = -27
/3 /3
x = -9
Answer:
35 degrees
Step-by-step explanation:
The angles in a triangle and a straight line add up to 180 degrees.
So adding the angles together:
BCD + BCA = 180
75 + BCA = 180
BCA = 115
Then,
BCA + BAC + ABC = 180
115 + 40 + ABC = 180
Therefore,
ABC = 35 degrees
1) The radius would be r = x + 4y
<span>.... and the area would be A = pi ( x + 4y )^2 </span>
<span>2) x is not defined. You have to state the relationship of x with l ,w, and, h </span>
<span>3) The square prism is a cube. I assume that the edge is x. Then the perimeter of any one face is : </span>
<span>... p = 4x</span>
D because there are 6 sides to a dice and there are 3 options where the number is bigger than 3. Therefore 3/6 = 15/30
Answer:
14.5, 13, 11.5
Step-by-step explanation:
The general term (an) of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 + d(n-1)
Then the 8th term is ...
a8 = a1 + d(8-1)
and the 12th term is ...
a12 = a1 + d(12-1)
So, the difference between these terms is ...
a12 -a8 = (a1 +11d) -(a1 +7d) = 4d
= (-2-4) = -6 . . . . . substituting values for a12 and a8
Then the common difference is
... d = -6/4 = -3/2
Using this, we can find a1 from a8.
4 = a1 +7·(-3/2) = a1 - 10.5
14.5 = a1 . . . . . . . add 10.5 to both sides of the equation
This is the first term. The second is this value with the common difference added:
14.5 + (-1.5) = 13
The third term is this with the common difference added:
13 + (-1.5) = 11.5
In summary, the first three terms are ...
14.5, 13, 11.5
