Answer:
12
Step-by-step explanation:
Distance from (-4,1)to (-1,1) =|-4|-|-1|=3
Side of square =3
Since each side of square is equal.
3x4=12
Answer:
so......... what's the question?
Step-by-step explanation:
Answer:
6 < x < 30
Step-by-step explanation:
By the Hinge Theorem, we know that
Angle BAC > Angle DAC
The two triangles that make the diamond have two equal sides. The third side of the upper triangle is longer than the third side if the lower triangle. To fit in the longer side, line AB had to be pushed outwards, forming a larger angle.
When we compare the two angles 48 and (2x-12), we now know that 48 is larger.
48 > 2x-12
48+12 > 2x
60 > 2x
60/2 > x
x < 30
Furthermore, angle DAC can't be negative or zero
2x - 12 > 0
2x > 12
x > 6
Answer: -x + 2
Step-by-step explanation:
So I assume that the question would be set up like this if you are finding the sum of all 3 terms:
(x + 5) + (-4x - 2) + (2x - 1)
1) Take out parentheses
x + 5 - 4x - 2 + 2x - 1
2) Add like terms
For the x terms:
x - 4x = -3x
-3x + 2x = -x
For the other terms:
5 - 2 = 3
3 - 1 = 2
The sum of the terms is <u>-x + 2</u>
Step 1. Simplify
7x^2 - 8x - 4 - 2x^2 + 3x + 5 + 5x^2 - 10x - 8
Step 2. Collect like terms
(7x^2 - 2x^2 + 5x^2) + (-8x + 3x - 10x) + (-4 + 5 - 8)
Step 3. Simplify
10x^2 - 15x - 7
