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2 years ago

What is an equation of the line that passes through the point (-5,-3)(−5,−3) and is parallel to the line 3x+5y=15

Mathematics

1 answer:

Sunny_sXe [5.5K]2 years ago

8 0

Answer:

y = -3/5x - 6 or 3x + 5y = -30

Step-by-step explanation:

Given line:

3x + 5y = 15

Converting into slope-intercept form:

3x + 5y = 15
5y = - 3x + 15
y = -3/5x + 3

Parallel lines have the same slope, so the parallel line will be:

y = -3/5x + b

Using given point (-5, -3) finding the y-intercept:

-3 = -3/5(-5) + b
-3 = 3 + b
b = -3 - 3
b = -6

So the line is:

y = -3/5x - 6

Or converted into standard form:

y = - 3/5x - 6
3/5x + y = -6
3x + 5y = -30

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Alex_Xolod [135]

After talking with you here are two different options I think you are trying to ask:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about: $(\frac{-12}{3}) ^{3}$

Answer: -62

Explanation:

PEMDAS tells us we need to do the exponent first:

-12³ = (-12)³ = -1728

The parentheses are important so you cube the negative sign as well!

3³ = 27

-1728 / 27 = -62

$(\frac{-12}{3}) ^{3}$ simplified is -62

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about (-1 $\frac{2}{3}$ )³

Answer: - $\frac{125}{27}$

Explanation:

First, let us turn -1 and two thirds into a mixed number:

Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get $-\frac{5}{3}$

To cube it we must do:

( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )

3 times 3 (9) times 3 is 27

5 times 5 (25) times 5 is 125

So we have 125/27

For the negative, we have three - - -

Two cancel each other out, and we are left with one (-) so our answer is negative

(-1 $\frac{2}{3}$ )³ simplifed is - $\frac{125}{27}$

7 0

2 years ago

Help bro pls broooooo

Debora [2.8K]

Answer:

773 and 869 and 703 on any day

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2 years ago

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ratelena [41]

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3 years ago

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In the figure, VW || YZ. Find the value of x, and the measure of YA and WA.

svetoff [14.1K]

Step-by-step explanation:

because VW || YZ, the 2 triangles are similar.

this is given by the rules of equal angles of intersecting lines with parallel lines. Z to V and Y to W would be such intersecting lines.

and therefore, the angle at W is the angle at Y, the angle at V is the angle at Z. and therefore both angles at A are equal.

so, for similar triangles the scaling factor between corresponding pairs of sides is the same for all sides.

e.g. the same scaling factor that converts 7.2 to 12, converts then also x to x+4.

7.2 × f = 12

f = 12/7.2 = 12/ 72/10 = 120/72 = 10/6 = 5/3

x × 5/3 = x + 4

5x = 3x + 12

2x = 12

x = 6

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2 years ago

The difference of 5 times the cube of x cubed and the quotient of 4 times x and 3

vlada-n [284]

the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3

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3 years ago

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