Answer:
x = 76
Step-by-step explanation:
First, distribute -4:
-4x + 104 = -200
Isolate x:
-4x = -200 - 104 = -304
x = -304/-4 = 76
Answer:
B
Step-by-step explanation:
given the 2 equations
y - 4x = 12 → (1)
2 - y = 2(x + 2)² → (2)
rearrange (1) expressing y in terms of x
y = 12 + 4x
Simplify (2) by expanding factor and substituting y = 12 + 4x
2 - (12 + 4x) = 2(x² + 4x + 4)
2 - 12 - 4x = 2x² + 8x + 8
- 10 - 4x = 2x² + 8x + 8 ← rearrange into standard form
add 10 + 4x to both sides
2x² + 12x + 18 = 0 ← in standard form
divide through by 2
x² + 6x + 9 = 0
(x + 3)(x + 3) = 0 ⇒ (x + 3)² = 0 ⇒ x = - 3
Point of intersection = (- 3, 0 ) → B
Answer:
6. 4.8m
7. a. 48 b. 31.4 c. 170
Step-by-step explanation:
6. 4.5^2 x 1.6^2 = c^2
22.81 = c^2
square root of 22.81 = 4.8
7.
a. 12^2 x 16^2 = c^2
400 = c^2
square root of 400 is 20, 20 + 12 + 16 = 48
b. 9^2 x b^2 = 13^2
88 = b^2
square root of 88 is 9.4, 9.4 + 9 + 13 = 31.4
c. 25^2 x b^2 = 65^2
3600 = c^2
square root of 3600 is 60, 60 + 60 + 25 + 25 = 170
Answer:
x = 41 , y = 139
Step-by-step explanation:
x and 41° are alternate exterior angles and are congruent , so
x = 41
x and y are a linear pair and sum to 180° , that is
x + y = 180
41 + y = 180 ( subtract 41 from both sides )
y = 139
Answer:
C.) the company will have 25 customers every 3 days.
Step-by-step explanation:
