Answer:
Number of hours Sonja practiced- n + 3 =11
Number of hours Jasper practiced- n - 2 = 6
Number of hours Willow practiced- 2n = 16
Step-by-step explanation:
hope that helps
Answer:
y=(-2/5)x
Step-by-step explanation:
Assuming that the goal is to find the linear equation in slope-intercept form, this problem is pretty simple.
Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept. We just have to plug in the information
y=(-2/5)x+0
Simplifies to:
y=(-2/5)x
Group x terms
(2x^2+8x)-12=0
undistribute 2
2(x^2+4x)-12=0
take 1/2 of 4 and square it, add negative and positive of it insde (2^2=4)
2(x^2+4x+4-4)-12=0
factor perfect square
2((x+2)^2-4)-12=0
distribute
2(x+2)^2-8-12=0
2(x+2)^2-20=0
add 20 to both sides
2(x+2)^2=20
divide both sides by 2
(x+2)^2=10
sqrt both sides, remember to take positive and negative root
x+2=+/-√10
minus 2 both sides
x=-2+√10 and -2-√10
Answer:
x = 5
Step-by-step explanation:
Locate - 3 on the y- axis, move across to the right to where the graph is.
Go vertically up from this point to meet the x- axis at point x = 5
Thus
f(x) = - 3 ⇒ x = 5
Answer:
She is about 14.765 miles (
miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
- The side opposite to the right angle is called hypotenuse and it is the longest side
- The other two sides called legs of the right angle
- The relation between them is: (hypotenuse)² = (leg1)² + (leg2)²
∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
- hypotenuse is the distance between her start and end points
- leg1 is her distance in south direction
- leg2 is her distance in east direction
∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse = 
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles (
miles) from where she started.