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andrew-mc [135]
3 years ago
9

writing an equation of a line given its slope and y-intercept. write an equation in slope-intercept form for the line with slope

-5 and y-intercept 1.
Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer:

y = -5(x-1)

Step-by-step explanation:

A y-intercept of 1 means that the point (0,1) falls on the line.

Slope-intercept form is y-y_{1} =m(x-x_{1} ) where m is the slope...

Therefore, the slope-intercept equation is y-1=-5(x-0) or y-1=-5x

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Find the length of the short leg of a 30-60-90 triangle if the long leg is 3cm
antoniya [11.8K]

Answer:

Short leg = √3 cm

Step-by-step explanation:

the opposite angle of long leg is 60°

hypotenuse : x

sin 60° = 3/x = √3 / 2

x = (3 x 2) / √3 = 2√3

short leg length (s)

Cos 60° = 1/2 = s / x = s / 2√3

s = √3

7 0
3 years ago
Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic ha
Anestetic [448]

Answer: $22.12

Step-by-step explanation:

I just did the compound interest formula which is

starting amount * (1. interst rate) ^ number of years

example if you have 100$ and you want to know how much it is worth if it appretiates by 7% of a period of 20 years it would look something like this;

100 * (1.10) ^20 = 672.74$

but since you have to figure out what it was in 2008 which was exactly half way in the period you divide the exponent by half so your formula should be;

I know the answer is right because I asked my teacher and it's correct.

REAL EXAMPLE: 18 * (1.51) ^.5 = 22.12$

5 0
3 years ago
Find the variable 15 = 5 − 13
Lyrx [107]

Answer:

0.4

Step-by-step explanation:

15 = 5p - 13

-13 = 5p -13

----------------  ( subtract 13 on both sides )

 <u> 2 = 5p</u>

  5 = 5p

----------------  ( divide 2 by 5 )

  p = 0.4

( p equals 0.4 )

7 0
3 years ago
(PLEASE HELP)<br> Which value of x makes this equation true<br> -90=-100+x
riadik2000 [5.3K]

Answer:

-0.9

Step-by-step explanation:

-0.9 × 100 = -90

8 0
2 years ago
Read 2 more answers
Andre says 10x + 6 and 5x + 11 are equivalent because they both equal 16 when x is 1. Do you agree with Andre?​
Serga [27]

Answer:

No, They are not equivalent

Step-by-step explanation:

The two expressions are only said to be equivalent if they are the same regardless of whatever value the variable(s) is.

The variable in this question is x.

To prove this, we equate both expressions:

10x + 6 = 5x + 11

10x - 5x = 11 - 6\\\\\\5x = 5\\\\\\x = 1

This shows that they have the same value ONLY when x is 1.

This is why Andre says that they are equivalent, but they are not.

8 0
3 years ago
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