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4 years ago

Find the slope of a line perpendicular to y=-2/5x+4/5.

Mathematics

1 answer:

Inga [223]4 years ago

7 0

For two lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:

m1*m2=-1

In this case, our reference line has a slope of -2/5 so our perpendicular slope must satisfy:

-2m/5=-1

-2m=-5

m=-5/-2

m=5/2

....

The negative reciprocal property can be more easily understood by realizing that the angle of a line is:

tanα=m

α=arctanm

So if one line, A, has a slope of m and the other, B, has a slope of -1/m

A=arctan m, B=arctan -1/m

B-A=90° (feel free to use any value for m that you choose to see that this is true, so if the two lines differ by 90°, they are indeed perpendicular)

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HOW MANY 7 DIGIT TELEPHONE NUMBERS ARE POSSIBLE IF THE FIRST DIGIT CANNOT

lyudmila [28]

Answer:

there are 8 million different phone numbers whose phone numbers whose digits aren't 0 or 1

6 0

2 years ago

Compare and Contrast how you would factor x^2−9 and x^2+9. For full credit, make sure you explain why they are factored differen

marishachu [46]

The factored form of the expression $x^2 - 9$ is $(x+3)(x-3)$

The expression x^2 + 9 has no real roots hence cannot be factored

Quadratic equations are equations with a degree of 2.

Given the quadratic function $x^2-9 \ and \ x^2+9$

For the function $x^2 - 9$

$=x^2-9\\=x^2-3^2$

Using the difference of two squares:

$a^2-b^2=(a-b)(a+b)\\x^2-3^2=(x-3)(x+3)$

For the expression x^2 + 9

The expression x^2 + 9 has no real roots hence cannot be factored

Learn more on factorization here: brainly.com/question/20293447

7 0

3 years ago

What is the probability to get a 5 or an odd number when you roll a die

8090 [49]

Answer:

50%

Step-by-step explanation:

6 numbers on a die, 3 of them are odd.

3/6=1/2=50%

6 0

3 years ago

Read 2 more answers

4(x-6)<-2x+6 what is the solution to the inequality <br> _

Cloud [144]

Simplify both sides if needed. The left-hand side needs simplification.

4(x - 6) $\leq$ -2x + 6
4x - 24 $\leq$ -2x + 6

All is left to do is add and subtract to get the x variable all alone.

4x - 24 $\leq$ -2x + 6
6x - 24 $\leq$ 6 <-- Add 2x to both sides
6x $\leq$ 30 <-- Add 24 to both sides
x $\leq$ 5 <-- Divide both sides by 6

In order to be in the solution set, x has to be less than or equal to 5.

In interval notation: [5, -∞)

7 0

3 years ago

Miguel has $49.13 in his bank account. He paid two fees of $32.50 each, and then he made two depositis of $74.25 each. What is t

mojhsa [17]

Answer:

$132.63

Step-by-step explanation:

$49.13 - ($32.50 × 2)

$49.13 - $65 = $-15.87

$-15.87 + ($74.25 × 2)

$-15.87 + $148.50

=$132.63

6 0

3 years ago