Answer:
-3
Step-by-step explanation:
Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:
m =
y2 - y1
x2 - x1
Answer:
3 and 12
Step-by-step explanation:
let the 2 numbers be x and y then
x + y = 15 → (1)
xy = 36 → (2)
From (1) : y = 15 - x → (3)
substitute y = 15 - x into (2)
x(15 - x) = 36
15x - x² = 36 ( subtract 36 from both sides )
15x - x² - 36 = 0 ( multiply through by - 1 and arrange in standard form )
x² - 15x + 36 = 0 ← in standard form
(x - 3)(x - 12) = 0 ← in factored form
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 12 = 0 ⇒ x = 12
substitute these values into (3) for corresponding value of y
x = 3 → y = 15 - 3 = 12
x = 12 → y = 15 - 12 = 3
Hence the 2 numbers are 3 and 12
Answer:
32td
Step-by-step explanation:
The first thing that you do when simplifying an expression with the variable’s values known is to distribute the values. EXAMPLE:
3(7x+9)+6(-16x-40); distribute:
21x+27-96x-240; combine like terms:
(21x+(-96x))+(27+(-240))——-> -75x-213; now plug in the values and solve: -75(6)-213=-663