Answer:
(- 3, 37) and (-
,
)
Step-by-step explanation:
Given the 2 equations
2x² - y + 19 = 0 → (1)
y + 11x = 4 → (2) ← subtract 11x from both sides
y = 4 - 11x → (3)
Substitute y = 4 - 11x into (1)
2x² - (4 - 11x) + 19 = 0
2x² - 4 + 11x + 19 = 0
2x² + 11x + 15 = 0 ← in standard form
(2x + 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - 
x + 3 = 0 ⇒ x = - 3
Substitute these values into (3) for corresponding values of y
x = -
: y = 4 +
=
⇒ (-
,
)
x = - 3 : y = 4 + 33 = 37 ⇒ (- 3, 37 )
Answer: y = (-11/2)x -52
Aka y=mx*b
Step-by-step explanation:
Answer:
x = 53.5
Step-by-step explanation:
x is one half the difference of the intercepted arcs, that is
x = 0.5(137 - 30) = 0.5 × 107 = 53.5
Answer:
p = −1
Step-by-step explanation:
1. Regroup terms.
−6 (p + 8) = 7p − 35
2. Expand.
−6p − 48 = 7p − 35
3. Add 6p to both sides.
−48 = 7p − 35 + 6p
4. Simplify 7p − 35 + 6p to 13p −35.
−48 = 13p − 35
5. Add 35 to both sides.
−48 + 35 = 13p
6. Simplify −48 + 35 to −13.
−13 = 13p
7. Divide both sides by 13.
−1 = p
8. Switch sides.
p = −1
The answer is 9.3 or 9 over 3 meaning going up 9 and over 3 leaving this to be an isosceles acute triangle