X = (w + y + z) / 4....multiply both sides by 4, cancelling the 4 on the right
4x = w + y + z ....subtract w and subtract z
4x - w - z = y....answer is A
Answer:
3rd option
Step-by-step explanation:
The range are the values covered on the y- axis
The lowest value is - 2
The highest value is 6
Both points have a solid circle on them indicating y can equal those values
range { y : - 2 ≤ y ≤ 6 }
You add like terms:
(n+n) + (2-5)
Your answer should be n squared + -7
Answer:
Step-by-step explanation:
Refer to attached
<u>Given:</u>
<h3>ΔEFG</h3>
- EF =6 m, FG = 5m, EG = 7 m
- ∠F = 87°, ∠G= 58°, ∠E = 180° -(87°+58°) = 35°
<h3>ΔLJK</h3>
- KL= 28 m, LJ = 24 m, JK = 20 m
- ∠J = 87°, ∠K = 58°, ∠L = 35°
<u>We can see that:</u>
and
- KL/EG = LJ/EF = JK/FG = 28/7= 24/6= 20/5 = 4
So the corresponding angles are congruent and corresponding sides are similar
We can conclude that the triangles are similar
Answer:the third option is correct
Step-by-step explanation:
The system of equations are
y = 2x^2 - 5x - 7 - - - - - - - - - - -1
y = 2x + 2 - - - - - - - - - - - - - 2
We would equate equation 1 and equation 2. It becomes
2x^2 - 5x - 7 = 2x + 2
2x^2 - 5x - 2x - 7 - 2 = 0
2x^2 - 7x - 9 = 0
We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore
2x^2 + 2x - 9x - 9 = 0
2x(x + 1) - 9(x + 1) = 0
2x - 9 = 0 or x + 1 = 0
2x = 9 or x = - 1
x = 9/2 = 4.5
Substituting x = 4.5 or x = -1 into equation 2, it becomes
y = 2 × 4.5 + 2 or y = 2 × - 1 + 2
y = 11 or y = 0
Therefore, the solutions are
(4.5, 11) (- 1, 0)
