Write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3. include all of your work in your final answer.

Perpendicular to a line with a slope of -3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So we have a slope of -3 (or -3/1)flip it, making it -1/3change the sign, making it 1/3. So our perpendicular line will have a slope of 1/3.

y = mx + b
slope(m) = 1/3
(6,1)x = 6 and y = 1
now we sub into the formula and find b, the y int
1 = 1/3(6) + b
1 = 2 + b
1 - 2 = b
-1 = b

so ur perpendicular equation is : y = 1/3x - 1 <==

Hello!

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

why?

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

Volume is length times width times height so
20 times 8 times 30 which is 4,800
surface area is ph (p is perimeter of base), h is height.
so perimeter would be length+length+width+width so 20+20+8+8 which is 56. so multiply 56 times 30 which is 1680. hope this !