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3 years ago

Please answer this question with a complete answer

Mathematics

1 answer:

Lena [83]3 years ago

8 0

Answer:

true, false, true

Step-by-step explanation:

first one:

|-3.17|=3.17

-3.17 cannot be negative away, so it must be positive.

second one:

|7.29|=7.29

not equal to -7.29

third one:

no matter if it's negative or positive, you always use absolute value (||) to measure distances between number lines

brainliest plz

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Natalka [10]

Answer:

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Step-by-step explanation:

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3 years ago

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4 years ago

write the equation of the line that passes through the point (-1,-6) and is perpendicular to a line that passes through the poin

Burka [1]

Answer:

$y=\frac{2}{3}x-\frac{16}{3}$

Step-by-step explanation:

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(-2,5) and (-4,8)

substitute the values in the formula

$m=\frac{8-5}{-4+2}$

$m=\frac{3}{-2}$

$m=-\frac{3}{2}$

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

$m_1*m_2=-1$

$m_1=-\frac{3}{2}$ ----> slope of the given line

therefore

$m_2=\frac{2}{3}$ ---> slope of the perpendicular line to the given line

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{2}{3}$

$point\ (-1,-6)$

substitute

$y+6=\frac{2}{3}(x+1)$

step 3

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y+6=\frac{2}{3}x+\frac{2}{3}$

$y=\frac{2}{3}x+\frac{2}{3}-6$

$y=\frac{2}{3}x-\frac{16}{3}$

4 0

4 years ago

Which of the following points satisfies the inequality x ≥ -3? (Select all that apply.) (0, -2) (5, -5) (-3, 4) (-4, 2)

Naddik [55]

Answer:

The correct answer is (0, -2) (5, -5) (-3, 4)

Step-by-step explanation:

The given inequality is x ≥ -3

<u>To find the correct answers</u>

1) (0, -2)

x ≥ -3

0 ≥ -3 TRUE

2) (5, -5)

x ≥ -3

0 ≥ -3 TRUE

3) (-3, 4)

x ≥ -3

0 ≥ -3 TRUE

4) (-4, -2)

x ≥ -3

5 ≥ -3 FALSE

Therefore the correct answer is (0, -2) (5, -5) (-3, 4)

7 0

3 years ago

Read 2 more answers

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makvit [3.9K]

$x- Kevin\ distance\\\\y-Steve\ distance\\\\
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3 years ago