Lydia writes the equation below with a missing value. y = 5x-
She puts a value in the box and says that the equation represents a direct variation. Which explains whether the equation
could represent a direct variation?
If she puts o in the box she would have a direct variation.
If she puts 5 in the box she would have a direct variation.
O The equation is not of the form Y = kx, so it cannot represent a direct variation.
O The equation has a minus sign, so it cannot represent a direct variation.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

step-by-step explanation:

x-intercept:

(

−

1

+

√

7

,

0

)

,

(

−

1

−

√

7

,

0

)

y-intercept:

(

0

,

−

6

)

the correct answer option is d. la = πrs.

step-by-step explanation:

we know that for a right cone, the lateral surface area is given by:

lateral area of right cone =

here the value under the square root is equal to slant height so replacing this value by in the formula to get:

lateral area of right cone =

therefore, the correct answer option is d.

time is equal to distance over rate so

t = d/r

need a little bit more information for the second question.