Answer:
Step-by-step explanation:
-32 = 2(x² + 10x)
Complete the square
coefficient of the x term: 10
divide coefficient in half: 5
square it: 5²
use 5² to complete the square and keep the equation balanced:
-32+2·5² = 2(x² + 10x + 5²)
18 =2(x+5)²
9 = (x+5)²
x+5 = ±√9 = ±3
x = ±3 - 5 = -2, -8
Answer:
a = - 
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (105, 27 ) , thus
y = a(x - 105)² + 27
To find a substitute (109, 14 ) into the equation
14 = a(109 - 105)² + 27 ( subtract 27 from both sides )
- 13 = 16a ( divide both sides by 16 )
a = -
1. 54 Ounces
2. 21 Hours
3. Spent 180$ Saved 120$
4. 480 ounces
5.18 Hours
6. 176$
7. 126 cups
Hope This Helps!!!!
The equation of the new path would be y=1/3x+4.
Explanation
If two lines are perpendicular, their slopes are negative reciprocals of each other. The original equation is written in slope-intercept form, y=mx+b, where m is the slope. In this equation, m=-3=-3/1.
In the new equation, the slope would be the opposite sign and flipped; this means it would be 1/3.
We can use the point given, the slope and slope-intercept form to write the equation of the new line:
y=mx+b
3=1/3(-3)+b
3=1/3(-3/1)+b
3=(-3/3)+b
3=-1+b
Add 1 to both sides:
3+1=-1+b+1
4=b
This makes the equation y=1/3x+4.
Answer:
b
Step-by-step explanation:
because the line i tercept of x is the s sloped
