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jarptica [38.1K]
3 years ago
8

The points (-6, r) and (6,3) lie on a line with slope 3/4. Find the missing coordinate r.

Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

r = -6

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

Slope 3/4

This means that m = \frac{3}{4}, and thus:

y = \frac{3}{4}x + b

(6,3)

This means that when x = 6, y = 3. We use this to find b. So

y = \frac{3}{4}x + b

3 = \frac{3}{4}(6) + b

b = 3 - \frac{18}{4} = \frac{12}{4} - \frac{18}{4} = -\frac{6}{4}

So

y = \frac{3}{4}x - \frac{6}{4} = \frac{3x - 6}{4}

(-6, r)

r is y when x = -6. So

y = \frac{3(-6) - 6}{4} = -6

So r = -6.

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Answer: B

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4 years ago
Part 4. Find the missing sides for the 30 60 90 triangles. Please show work for each​
inna [77]

10. tan(30) = l / 6√3

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7 0
3 years ago
Read 2 more answers
2) Multiply<br> (6x+3)(3x2+8x+5)<br> Help, please shore me how to do this!
Brrunno [24]

Answer:

Result :

3 • (2x + 1) • (x + 1) • (3x + 5)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP1

Equation at the end of step 1

(6x + 3) • ((3x2 + 8x) + 5)

STEP2

STEP3

Pulling out like terms

3.1 Pull out like factors :

6x + 3 = 3 • (2x + 1)

Trying to factor by splitting the middle term

3.2 Factoring 3x2 + 8x + 5

The first term is, 3x2 its coefficient is 3 .

The middle term is, +8x its coefficient is 8 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 3 • 5 = 15

Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is 8 .

-15 + -1 = -16

-5 + -3 = -8

-3 + -5 = -8

-1 + -15 = -16

1 + 15 = 16

3 + 5 = 8 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 5

3x2 + 3x + 5x + 5

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x+1)

Add up the last 2 terms, pulling out common factors :

5 • (x+1)

Step-5 : Add up the four terms of step 4 :

(3x+5) • (x+1)

Which is the desired factorization

sorry if its too much...

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Step-by-step explanation:

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Lady_Fox [76]

Answer:

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Step-by-step explanation:

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b=0

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5 0
3 years ago
Read 2 more answers
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