Answer: Hello mate!
A direct variation implies that, if y is the dependent variable that varies with the variable x; then: y = k*x where k is a real number.
An inverse variation has the form y = k/x where also k is a real number.
them, if we define s as the hours that Bob spends studying, and b as the hours that he spends playing baseball, then the equation that represents the score is:
Score(s,b) = k*s/b
we know that if s = 6, and b = 7, then the score is 72; with this information, we could obtain the value of the constant k.
score(6,7) = 72 =k*6/7 = k*
then k = 72*(7/6) = 61.7
now if s = 4 and b = 6, the score that he should expect is:
score( 4, 6) = 61.7*(4/6) = 41
y=-7x+2
m=-7, so that's a negative slope.
b=2, so the y-intercept is (0,2). That's a postiive y-intercept.
Solve 0=-7x+2 to find the x-intercept.
7x=2
x=2/7
The x-intercept is (2/7,0), so that's a positive x-intercept.
Answer:
c would be the closest
Step-by-step explanation:
All triangles equal 180*. so if you combine the 2 angles, which adds up to 77* then that would leave the third angle to be 103* but since that isnt an option choose c since its the closest.
Answer:
6
Step-by-step explanation:
Okay so the shape has an area of 60 square inches. The formula for the area of a triangle is A = b*h where A = area, b = base, and h = height
So we are given the value for A (60)
We are given the value for height (10)
So we just need to find the value of the base
So let's set this up as an equation. Input the given values into the area for triangle formula
A = B*h
60 = B * 10
So we need to solve for B. To do that we need to get B alone on one side of the = sign. B is being multiplied by 10 so do the opposite and divide both sides by 10
60 divided by 10 = 6
10 divided by 10 = 1 (don't actually put a 1 down, just drop it)
So we are left with
6 = B
So the base is 6 square inches. To test, put it in the equation:
A = B*h
60 = 6*10
60 = 60
