All categories

3 years ago

5. Write an equation for at least one line perpendicular to the line with eachequation.c. 19x

Mathematics

1 answer:

tiny-mole [99]3 years ago

7 0

The first thing you always do with equations like these is get the y alone by moving everything to the other side. Once this is done, you take the opposite reciprocal of the slope. For example, number a, when you have y alone, is y=-1x+2. So the opposite reciprocal of the slope would be just 1, so the resulting equations would be y=1x+2.

You might be interested in

What is the average rate of change of the function f(x)=20(14)x from x = 1 to x = 2? Enter your answer, as a decimal, in the box

Lesechka [4]

Answer: -3.75

Step-by-step explanation:

10000000000% sure because I took the test

5 0

3 years ago

Read 2 more answers

What is the length of segment A (2,1) B (6,6)

stepladder [879]

4.7 because if you plug it in- (2,1) and (6,6) it is 4.7 units

4 0

3 years ago

Read 2 more answers

Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60

RSB [31]

Answer:

$f(x)=2x^{3}+24x^{2}+82x+60$

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

$f(x)=a(x+6)(x+5)(x+1)$

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

$60=a(0+6)(0+5)(0+1)$

$60=a(6)(5)(1)$

$60=30a$

$a=2$

$f(x)=2(x+6)(x+5)(x+1)$

Applying the distributive property

Convert to expanded form

$f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60$