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Klio2033 [76]
3 years ago
9

The point-slope form of the equation of the line that passes through (-4,-3) and (12, 1) is y-1= 1/4(x-12). what is the stadard

form of the equation for this line?
x-4y = 8
x - 4y = 2
4x - y = 8
4x - y = 2​
Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

x - 4y = 8

Step-by-step explanation:

Since the Point-Slope Formula is already given to you, convert it to Slope-Intercept Form, and you do that by doing this:

y - 1 = ¼(x - 12) >> y - 1 = ¼x - 3

y - 1 = ¼x - 3

+ 1 + 1

--------------

y = ¼x - 2 >> Slope-Intercept Form

After doing this, you are ready to convert to Standard Form, and you do that by doing this:

y = ¼x - 2

-¼x -¼x

-----------

-¼x + y = -2

Now unfortunately, we do not want fractions as our coefficients, so the way to eliminate the fraction is to multiply the equation by the Multiplicative Inverse of -¼, which is -4:

-4[-¼x + y = -2] >> x - 4y = 8 → New equation without fractions

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

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g(x)=7x-42\\\\\y-intercept\ of\ g(x):\\\\f(0)=7\cdot0-42=-42\to(0;\ -42)\\\\x-intercept\ of\ g(x):\\\\0=7x-42\ \ \ \ |+42\\7x=42\ \ \ |:7\\x=6\to(6;\ 0)

f(x)=ax+b\\\\y-intercept\ of\ f(x):\ (0;\ -3)\\\\x-intercept\ of\ f(x):\ (6;\ 0)

Answer:

A) the y-intercept of g(x) is less than the y-intercept of f(x).


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4 years ago
The equation of circle C is (x-8)^2+(y+3)^2=49. Find the center and radius of circle C.
Dominik [7]
C is the best option and compare it with the equation of circle to get values

3 0
3 years ago
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Please Help ASAP I dont understand this <br><br>​
antiseptic1488 [7]

To find m<3, we can use the angle sum of triangles, in which the addition all angles in a triangle must be equal to 180°.

In this case:

m<3 +52°+29° = 180°

m<3 + 81° = 180°

m<3 = 180°-81°

m<3 = 99°

To find m<4, we can use adjacent angles on a straight line, where the addition of angles on a straight line must be 180°.

In this case:

m<4 + 99° = 180°

m<4 = 180°-99°

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Therefore m<3 is 99° while m<4 is 81°.

Hope it helps!

4 0
3 years ago
How much do you need to subtract from 83/10 to make 8
Paul [167]

Answer:

Subtract 80 from 83 . The result of division of 8310 is 8 with a remainder of 3 .

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4 years ago
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Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to
erastova [34]

Answer:

(a) The probability that a randomly selected alumnus would say their experience surpassed expectations is 0.05.

(b) The probability that a randomly selected alumnus would say their experience met or surpassed expectations is 0.67.

Step-by-step explanation:

Let's denote the events as follows:

<em>A</em> = Fell short of expectations

<em>B</em> = Met expectations

<em>C</em> = Surpassed expectations

<em>N</em> = no response

<u>Given:</u>

P (N) = 0.04

P (A) = 0.26

P (B) = 0.65

(a)

Compute the probability that a randomly selected alumnus would say their experience surpassed expectations as follows:

P(C) = 1 - [P(A) + P(B) + P(N)]\\= 1 - [0.26 + 0.65 + 0.04]\\= 1 - 0.95\\= 0.05

Thus, the probability that a randomly selected alumnus would say their experience surpassed expectations is 0.05.

(b)

The response of all individuals are independent.

Compute the probability that a randomly selected alumnus would say their experience met or surpassed expectations as follows:

P(B\cup C) = P(B)+P(C)-P(B\cap C)\\=P(B)+P(C)-P(B)\times P(C)\\= 0.65 + 0.05 - (0.65\times0.05)\\=0.6675\\\approx0.67

Thus, the probability that a randomly selected alumnus would say their experience met or surpassed expectations is 0.67.

5 0
4 years ago
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