Slope is -2/5 and y-intercept is 2
Step-by-step explanation:
- Step 1: Write the equation in slope-intercept form y = mx + b
2x + 5y = 10
5y = -2x + 10
y = -2/5 x + 10/5
y = -2/5 x + 2
- Step 2: Find the slope and y-intercept from the equation.
Slope, m = -2/5
y-intercept, b = 2
Answer: x = 6
Step-by-step explanation:
X - (-4) = 10
X + 4 = 10
X = 10 - 4 = 6
Answer:
5/12
Step-by-step explanation:
Answer:
13 and 16
Step-by-step explanation:
let the 2 parts be x and y, then
x + y = 29 → (1) and
x² + y² = 425 → (2)
From (1) → x = 29 - y → (3)
substitute x = 29 - y into (2)
(29 - y)² + y² = 425 ( expand factor )
841 - 58y + y² + y² = 425 ( rearrange into standard form )
2y² - 58y + 416 = 0 ← in standard quadratic form
divide all terms by 2
y² - 29y + 208 = 0
Consider the factors of 208 which sum to - 29
These are - 13 and - 16, hence
(y - 13)(y - 16) = 0
equate each factor to zero and solve for y
y - 13 = 0 ⇒ y = 13
y - 16 = 0 ⇒ y = 16
substitute these values into (3)
x = 29 - 13 = 16 and x = 29 - 16 = 13
The 2 parts are 13 and 16
Answer:
store B, C, and D
Step-by-step explanation:
