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3 years ago

1. Factor the trinomial: x2 - 7x - 8

Mathematics

1 answer:

telo118 [61]3 years ago

7 0

1. A

-8+1=7 and 8*1=8

2. A

-5*8= -40 and 8-5= 3

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Find the exact distance between the line 6x-y=3 and the point (6,2). Show your work. Explain your answer.

Serggg [28]

Answer:

The distance of point ( 6 , 2 ) from line 6 x - y = 3 is $\frac{31}{\sqrt{37} }$ unit .

Step-by-step explanation:

Given as :

The equation of line is 6 x - y = 3

And The points is ( 6 , 2 )

Let The distance between the line and points is d unit

So, The distance of point from the line = $\frac{\begin{vmatrix}ax & +b y & + c\end{vmatrix}}{\sqrt{a^{2}+b^{2}}}$

Or, d = $\frac{\begin{vmatrix}6\times x & +(-1)\times y & + (-3)\end{vmatrix}}{\sqrt{6^{2}+(-1)^{2}}}$

Or, d = $\frac{\begin{vmatrix}6\times 6 & +(-1)\times 2 & + (-3)\end{vmatrix}}{\sqrt{6^{2}+(-1)^{2}}}$

Or, d = $\frac{36 - 2 - 3}{\sqrt{37} }$

∴ d = $\frac{31}{\sqrt{37} }$ unit

Hence The distance of point ( 6 , 2 ) from line 6 x - y = 3 is $\frac{31}{\sqrt{37} }$ unit . Answer

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2 years ago

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You are looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Your power bill came out to $76.49 how man

Rudiy27

I’m no mathematical but I think I can help you with that

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2 years ago

Jade buys a blouse and a skirt for 34 of their original price. She pays a total of $31.50 for the two items. If the original pri

Shtirlitz [24]

Answer:

`Part A:

D. 3/4(18 + s) = 31.50

Part B:

$36

Step-by-step explanation:

I think 34 is 3/4, is that right?

here, s is the cost of the skirt

Part A: The answer would be:

3/4(18) + 3/4(s) = 31.5 =

3/4(18 + s) = 31.5

Part B: 3/4(18) + 3/4(s) = 31.5

4.5 + 3/4s = 31.5

Subtract 4.5 from both sides:

3/4s = 27, 27 is the cost of the skirt now, but we need the original price.

multiply both sides by 4/3:

s = 36

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3 years ago

What is the slope of a line between (-4,14) and (-16,8)

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Answer:

$\frac{1}{2}$

Step-by-step explanation:

slope :

$slope \: = \: \frac{y2 - y1}{x2 - x1} = \frac{8 - 14}{ - 16 - - 4} = \frac{ - 6}{ - 12} = \frac{1}{2}$ = 0.5

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2 years ago

Is 500 is 10 times as much as 50

12345 [234]

Yes, since 50 x 10 = 500.

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3 years ago

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