Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
In the equation given, the Distributive Property is being demonstrated.
The value of Sin(a) suppose that Cos B = 0.68 in which case, a + B = 90° is; 0.68.
<h3>Trigonometry</h3>
First, when we have two angles, whose sum equals, 90°.
In essence, Since the algebraic sum of angles A and B is 90°;
By trigonometric identity;
Where; (90 - A) = B.
Therefore; Sin A = Cos B = 0.68.
Read more on trigonometry;
brainly.com/question/20519838
Her brother joe made $52.08. First you need to make the percent into a decimal, like this 86% => .86. Then multiply .86 to $28. After that add what you got to $28.
