Answer:
x = 100
Step-by-step explanation:
-100x - 100 = -100x
+100= +100
-100x= -100x + 100
x=100
Answer:
4(x + 5)(x - 3)
Step-by-step explanation:
Given
4x² + 8x - 60 ← factor out 4 from each term
= 4(x² + 2x - 15) ← factor the quadratic
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)
The factors are + 5 and - 3 , since
+ 5 × - 3 = - 15 and + 5 - 3 = + 2, then
x² + 2x - 15 = (x + 5)(x - 3)
Then
4x² + 8x - 60 = 4(x + 5)(x - 3) ← in factored form
5. We can see that angle a is the same angle as the 130° angle, since they form a Z. The same goes for b and 65°. a° = 130°, b° = 65°
6. With the same Z angles, b° = 56°. Because the angles are parallel, a° = 124°
7. Because the angles are parallel, b° = 83°, and a° = 132°
8. Because the angles are Z angles, a° = 74°. Because a° and b° are supplementary angles, b° = 180° - 74° = 106°. Because c° and 74° are supplementary angles, c° = 180° - 74° = 106°. Because d° and 65° are parallel angles, d° = 65°. Because d° and e° are opposite angles, e° = 65°
For the point P(−19,18) and Q(−14,23), find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ.
