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2 years ago

Write a equation of a line that is perpendicular to y = -2/7x+9and pass through point (4,-6)

Mathematics

1 answer:

nikitadnepr [17]2 years ago

3 0

Answer:

y = 7/2x - 20.

Step-by-step explanation:

The slope of the given line is -2/7, therefore the slope of the line perpendicular to it is - 1/ -2/7 = 7/2.

When x = -4, y = -6 so we substitute x1 = 4, y1 = -6 and m ( the slope) = 7/2 in the point slope form of a line:

y - y1 = m(x - x1)

y - (-6) = 7/2(x - 4)

y + 6 = 7/2x - 14

y = 7/2x - 20.

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Pls give the answer given below!ASAP

bekas [8.4K]

Answer:

Option 3

Step-by-step explanation:

Rewriting input as fractions if necessary:

3/8, 3/20

For the denominators (8, 20) the least common multiple (LCM) is 40.

LCM(8, 20)

Therefore, the least common denominator (LCD) is 40.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

3/8 = 3/8 × 5/5 = 15/40

3/20 = 3/20 × 2/2 = 6/40

8 0

2 years ago

Help What is the graph???

marin [14]

We are given

$y=\frac{x^2-4x+3}{x^2-9}$

Vertical asymptotes:

Firstly, we will factor numerator and denominator

we get

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

We can see that (x-3) is common in both numerator and denominator

so, we will only set x+3 to 0

and then we can find vertical asymptote

$x+3=0$

$x=-3$

Hole:

We can see that (x-3) is common in both numerator and denominator

so, hole will be at x-3=0

$x=3$

Horizontal asymptote:

We can see that degree of numerator is 2

degree of denominator is also 2

for finding horizontal asymptote, we find ratio of leading coefficients of numerator and denominator

and we get

y=1

now, we can draw graph

Graph:

6 0

2 years ago

Find the measure of the missing side. Round your answer to the nearest tenth. (PYTHAGOREAN THEOREM)

Burka [1]

Answer:

Rounded to the nearest tenth, the length of the missing side is 5.4 in.

Step-by-step explanation:

According to the Pythagorean theorem, $a^{2}+b^{2}=c^{2}$ , where c is the length of the hypotenuse (the longest side), a and b are the lengths of the other two sides. We can use this to solve for the length of the hypotenuse of the right triangle shown in your question (the missing side):

$2^{2}+5^{2}=c^{2}$

This simplifies to $29=c^{2}$ . Now to solve for c (the length of the hypotenuse), we just take the square root of both sides of the equation and solve like so:

$\sqrt{29} =\sqrt{c^{2}}$

This simplifies to c≈5.4 in.

7 0

2 years ago

Given that a × 70 = b work out the value of Your final line should say, 3b/a =...

alukav5142 [94]

a/q b/a=70 so ans will be 210

8 0

2 years ago

Solve: a + 4 = 48 a = 43 a = 51 a = 44 a = 52

andrew11 [14]

Answer:

a = 44 is correct

Step-by-step explanation:

a + 4 = 48

plug in the #'s 1 at a time

43 + 4 = 48

47 = 48 FALSE

51 + 4 = 48

55 = 48 FALSE

44 + 4 = 48 TRUE

52 + 4 = 48 FALSE

Hope this Helps!!!

5 0

2 years ago