Afunction h(x) is defined as h(x)=−5/7 x−3. by how much h(x) will decrease/increase, if x decreases by 21?

h(x) increases by 15 units.

Step-by-step explanation:

Given that

This is nothing but a straight line with slope equal = -5/7

Hence rate of change of y with respect to x =-5/7

Or for a unit increase in we have 5/7 decrease in h(x)

Using the above we find that when x decreases by 21

we have h(x) to increase by 21(5/7)

=15

So y increases by 15 units

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w