Answer:
24 and 6 are the 2 numbers
Step-by-step explanation:
let the 2 numbers be x and y , then
x + y = 30 → (1)
y = 4x → (2) [ one number is 4 times the other ]
Substitute y = 4x into (1)
x + 4x = 30
5x = 30 ( divide both sides by 5 )
x = 6
Substitute x = 6 into (2)
y = 4 × 6 = 24
The 2 numbers are 24 and 6
286 and 446 :) hope it helps
Answer:
there is no option choices, but if you distribute, you get 3x^4 +12x^3 +2x^2+8x
Step-by-step explanation:
Answer:
y = -1/2(x + 4)² + 2 or y = -1/2x²- 4x - 6
Step-by-step explanation:
Given
Vertex = (-4, 2)
The graph passes through the point (-8, -6)
The function in vertex form is:
y = a(x + 4)² + 2
Substitute the coordinates of (-8, -6) and find the value of a:
-6 = a(-8 + 4)² + 2
-8 = 16a
a = -1/2
The function is:
y = -1/2(x + 4)² + 2
or in standard form:
y = -1/2(x² + 8x + 16) + 2 = -1/2x²- 4x - 6
<span>In angle ABC, the measure of angle BAC = 5x + 8, </span>measure of angle ABC = 6x + 22, and measure of angle BCA = 3x 25. You know that the sum of the angles of a triangle is 180 degrees. And since the angles BAC, ABC and BCA are the corners of the triangle then just add them and equate to 180 degrees.
5x + 8 + 6x + 22 + 3x + 25 = 180
14x + 55 = 180
14x = 125
x = 8.93