Answer:
25 feet
Step-by-step explanation:
Given that Sally is at the park standing directly under a kite which is 20 feet overheadSally's dad is flying the kitc and is standing 15 feet from her If both are on level ground, how long is the kite string in feet?
To calculate the length of the kite string, we will apply pythagorean theorem.
Length = sqrt ( 20^2 + 15^2 )
Length = sqrt ( 400 + 225 )
Length = sqrt ( 625 )
Length = 25 feet.
Therefore, the length of the kite string is 25 feet.
Answer:
y= 1/2x-3
Step-by-step explanation:
2y - x = 8
First find the slope
2y = x+8
Divide by 2
2y/2 = x/2 +8/2
y = 1/2 x +4
The slope is 1/2 ( y=mx+b where m is the slope and b is the y intercept)
When lines are parallel they have the same slope)
Using y = mx+b
y =1/2x+b
Substituting the point (4,-1) into the equation
-1 =1/2(4)+b
-1 = 2+b
-3 =b
The equation of the line is
y= 1/2x-3
Answer:
f(g) = -15x^2 + 15x + 2.
g(-2) = 18.
Step-by-step explanation:
f(g) = -5(3x^2 - 3x) + 2
= -15x^2 + 15x + 2.
g(-2) = 3(-2)^2 - 3(-2)
= 12 + 6
= 18.
Answer:
Factoring the trinomial: 
we get the factors 
Step-by-step explanation:
We need to factor the trinomial:
We can factor the trinomial by breaking the middle term i.e 13x
Such that adding or subtracting gets the both terms we get 13x and multiplying both terms we get 12x^2
We can break 13x as: 12x and x
Adding them we get 13x and multiplying them we get 12x^2
So,
So, Factoring the trinomial: we get the factors
