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3 years ago

Write the equation for a vertical line going through the point (-4,1)

Mathematics

1 answer:

stiks02 [169]3 years ago

3 0

Answer:

x = -4

Step-by-step explanation:

a vertical line means it will cross only the x-axis, not the y-axis

wherever it cross the axis, that will be the point in your equation

example, a vertical line through the point (5, -10) has the equation x = 5

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Use the Remainder Theorem to completely factor p(x) = x ^3 + 7x ^2 + 11x + 5.

tigry1 [53]

In order to use the remainder theorem, you need to have some idea what to divide by. The rational root theorem tells you rational roots will be from the list derived from the factors of the constant term, {±1, ±5}. When we compare coefficients of odd power terms to those of even power terms, we find their sums are equal, which means -1 is a root and (x +1) is a factor.

Dividing that from the cubic, we get a quotient of x² +6x +5 (and a remainder of zero). We recognize that 6 is the sum of the factors 1 and 5 of the constant term 5, so the factorization is

... = (x +1)(x +1)(x +5)

... = (x +1)²(x +5)

_____

The product of factors (x +a)(x +b) will be x² + (a+b)x + ab. That is, the factorization can be found by looking for factors of the constant term (ab) that add to give the coefficient of the linear term (a+b). The numbers found can be put directly into the binomial factors to make (x+a)(x+b).

When we have 1·5 = 5 and 1+5 = 6, we know the factorization of x²+6x+5 is (x+1)(x+5).

4 0

4 years ago

Read 2 more answers

Simplify the expression ASAP 8p3

Reika [66]

Answer:

336

Step-by-step explanation:

8P3

=8!(8-3)!

=8!5!

=8x7x6

=336

5 0

4 years ago

“The line that passes through point H has the equation y=-2x -3”

Katena32 [7]

Answer:

Step-by-step explanation:

Generally

The equation of a line is given as

y = mx + c

Where

m is the slope

c is the intercept on y axis

Note: if two lines are parallel, their slopes are equal

I.e M1 = M2 =m

If two lines are perpendicular, then, their slopes are given as

M2 = - 1/M1

Given that,

The line that pass through the point H has an equation

y = -2x-3

From equation of a line, we know that, the slope of the line that passes through H is -2

m = -2

We want to find the equation of a line parallel to line that passes through H

If the line we want to find is parallel to the given line, then, their slope are equal,

So, the slope of line that passes through point G is m=-2

So, the equation of the line that passes through point G is

y = mx + c, m=-2

y = -2x + c

So, we need to find c, so, using the point G it passes through,

G = (2,1) I.e x = 2 and y = 1

y = -2x + c.

1 = -2(2) + c

1 = -4 + c

1+4 = c

c = 5

So, the equation of the line that passes through G becomes

y = -2x + 5

3 0

3 years ago

In addition to the car payment, Jackson and Bonnie estimate they will spend $200 on utilities, $140 on gasoline, $200 for grocer

Studentka2010 [4]

The total of the monthly bills will be $640.

(Add all of the bills together)

3 0

3 years ago

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Which of the following is not equivalent to 1?

cluponka [151]

Answer:

Step-by-step explanation:

This is because You would still have the Y value as the answer. When you raise a function to the 0 power you will ultimately get on. In this only the coefficient is being raised rather than the whole system.

6 0

3 years ago