You would subtract the y intercepts then the x intercepts. Subtract 13-6 then divide it by 9-6. That gets you a slope of 7 over 3
Answer:
h² - 10h + <u>25</u>
Step-by-step explanation:
h² - 10h + _ → (h - 5)² = h² - 10h + 25
Answer:
Last option
Step-by-step explanation:
Step 1: Distribute
x - 3/7 = 1
Step 2: Add 3/7 to both sides
x = 1 + 3/7
x = 10/7
Answer: second option y = 2(x + 7/2)^2 + 1/2
Explanation:
1) given:
y = (x + 3)^2 + (x + 4)^2
2) expand the binomials:
y = x^2 + 6x + 9 + x^2 + 8x + 16
3) add like terms:
y = 2x^2 + 14x + 25
4) take common factor 2 of the first two terms:
y = 2 (x^2 + 7x) + 25
5) complete squares for x^2 + 7x
x^2 + 7x = [x +(7/2)x ]^2 - 49/4
6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:
y = 2 [ (x + 7/2)^2 - 49/4] + 25
7) take -49/4 out of the square brackets.
y = 2 (x + 7/2)^2 - 49/2 + 25
8) add like terms:
y = 2(x + 7/2)^2 + 1/2
And that is the vertex for of the given expression.
12.5 cm = 125 mm + 25 mm = 150 mm the as
