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Fed [463]
3 years ago
7

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation an

d Helena claims that point-slope form will find the equation. Who is correct?
Mathematics
1 answer:
Nikitich [7]3 years ago
8 0

Answer:

Helena is correct.

Step-by-step explanation:

The slope intersept form of the line is

y = m x + c

where, m is the slope and c is the intersept.

The point slope form of the equation is

y - y'= \frac{y''-y'}{x''-x'}\times (x-x')

So, if there are two points are given, the equation of line is found by the point slope form.

So, Helena is correct.

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8X over five -6 equals 2X +4 how do you solve that
yaroslaw [1]
You carry the 7 add the 6 put a little bit of whip cream and you got a cake ta da
6 0
3 years ago
Choose the equation below that represents the line passing through the point (1, -4) with a slope of 1/2
tatiyna

For this case we have that by definition, the line equation of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the statement we have:

m = \frac {1} {2}

Thus, the equation is of the form:

y = \frac {1} {2} x + b

We substitute the given point and find "b":

-4 = \frac {1} {2} (1) + b\\-4 = \frac {1} {2} + b\\-4- \frac {1} {2} = b\\b = - \frac {9} {2}

Finally, the equation is of the form:

y = \frac {1} {2} x- \frac {9} {2}

Answer:

y = \frac {1} {2} x- \frac {9} {2}

6 0
3 years ago
Janet has 3 sweatshirts, 5 t-shirts, and 2 pairs of pants that can be worn together. If each outfit has a sweatshirt, t-shirt, a
RideAnS [48]

Answer:

30 outfits

Step-by-step explanation:

First, come up with all the possibilties for one of the sweatshirts. So...

S11

S12

S21

S22

S31

S32

S41

S42

S51

S52

Count up all of those and then multiply it by three

10 * 3 = 30

Have a wonderful day!

4 0
3 years ago
Find the inverse function of <br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%209%20%2B%20%20%5Csqrt%7B4x%20-%204%7D%20" id=
Vedmedyk [2.9K]

Answer:

\displaystyle   {f}^{ - 1}(x) =  \frac{1}{4} (x  - 18x + 85)

Step-by-step explanation:

we would like to find the inverse of the following function:

\displaystyle f(x) = 9 +  \sqrt{4x - 4}

to do so substitute y for f(x):

\displaystyle y= 9 +  \sqrt{4x - 4}

interchange variables:

\displaystyle x= 9 +  \sqrt{4y - 4}

cancel 9 from both sides:

\displaystyle  \sqrt{4y - 4}   = x - 9

square both sides:

\displaystyle  4y - 4= x  - 18x + 81

add 4 in both sides:

\displaystyle  4y = x  - 18x + 85

divide both sides by 4:

\displaystyle  y =  \frac{1}{4} (x  - 18x + 85)

substitute back:

\displaystyle   {f}^{ - 1}(x) =  \frac{1}{4} (x  - 18x + 85)

and we're done!

7 0
3 years ago
Read 2 more answers
From a boat on the lake, the angle of elevation to the top of a cliff is 24°19 If the base of the cliff is 2994 feet from the bo
loris [4]

Answer:

Answer is C 1353

Step-by-step explanation:

6 0
3 years ago
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