14.
if a tree cast a 90-foot shadow at the same time a
3-foot pole held perpendicular to the ground casts
a 5-foot shadow, what is the height of the tree,
expressed in feet?

54 feet

Step-by-step explanation:

these are 2 similar right triangles. so the proportions of the sides are equal.

3/5 = x/90

cross multiply to obtain

270 = 5x

divide by 5

54 = x

the circle graph is not a function.

step-by-step explanation:

the graph of the circle is not a function.

because for a graph to be a function, each value of x must give one value of y

in the circle, the values of x for -2< x< 2 each give 2 values of y.

hence this is not a function.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1