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3 years ago

The equation y+6=1/3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?

Mathematics

2 answers:

Natasha2012 [34]3 years ago

7 0

Answer: $y=\dfrac{1}{3}x-9$

Step-by-step explanation:

The equation of a line in slope -intercept form is written as :-

$y=mx+c$

The given equation : $y+6=\dfrac{1}{3}(x-9)$

To write the given equation in slope - intercept form , we need to first solve the right -hand sides in the equation.

$y+6=\dfrac{1}{3}(x-9)\\\\\Rightarrow\ [tex]y+6=\dfrac{1}{3}x-3\\\\\Rightarrow\ y=\dfrac{1}{3}x-3-6\\\\\Rightarrow\ y=\dfrac{1}{3}x-9$

Hence, the equation written in slope-intercept form : $y=\dfrac{1}{3}x-9$

Margaret [11]3 years ago

3 0

y+6=1/3(x-9)

Moved all terms from left to right that doesn't contain y

Y=-6 +1/3x-3

Simplify

Y=1/3x-9

Your answer is c.

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tangare [24]

Answer:

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Step-by-step explanation:

Since these angles are supplementary, they will add up to 180 degrees, so you can set up the equation like this:

4x+8+104=180

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4x+(8+104)=180

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Next, subtract 112 from both sides:

4x+112(-112)=180(-112)

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Then, divide each side by 4:

4x(/4)=68(/4)

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2 years ago

For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)

Lana71 [14]

Answer:

Step-by-step explanation:

2x^2 + 8x + 8

factor the 2 out : 2(x^2 + 4x + 4)

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3 years ago

Estimate the answer to the following problem to the nearest 10 13+46+87= a. 130 b.155 c.160 d.150

Lunna [17]

150

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59+87= 146

Round 46 to the nearest ten, which in this case would be 50 because the last number is larger than a 5.

Then add the 1 back in to make it 150.

3 0

3 years ago

Read 2 more answers

Miguel is a golfer, and he plays on the same course each week. The following table shows the probability distribution for his sc

aivan3 [116]

1) 4.55

2) Short hit

Step-by-step explanation:

The table containing the score and the relative probability of each score is:

Score 3 4 5 6 7

Probability 0.15 0.40 0.25 0.15 0.05

Here we call

X = Miguel's score on the Water Hole

The expected value of a certain variable X is given by:

$E(X)=\sum x_i p_i$

where

$x_i$ are all the possible values that the variable X can take

$p_i$ is the probability that $X=x_i$

Therefore in this problem, the expected value of MIguel's score is given by:

$E(X)=3\cdot 0.15 + 4\cdot 0.40 + 5\cdot 0.25 + 6\cdot 0.15 + 7\cdot 0.05=4.55$

In this problem, we call:

X = Miguel's score on the Water Hole

Here we have that:

- If the long hit is successfull, the expected value of X is

$E(X)=4.2$

- Instead, if the long hit fails, the expected value of X is

$E(X)=5.4$

Here we also know that the probability of a successfull long hit is

$p(L)=0.4$

Which means that the probabilty of an unsuccessfull long hit is

$p(L^c)=1-p(L)=1-0.4=0.6$

Therefore, the expected value of X if Miguel chooses the long hit approach is:

$E(X)=p(L)\cdot 4.2 + p(L^C)\cdot 5.4 = 0.4\cdot 4.2 + 0.6\cdot 5.4 =4.92$

In part 1) of the problem, we saw that the expected value for the short hit was instead

$E(X)=4.55$

Since the expected value for X is lower (=better) for the short hit approach, we can say that the short hit approach is better.

8 0

3 years ago

Last spring 12 birds ate 8 cups of birdseed in one month. If I am expecting 18 birds this month, how

elena55 [62]

Simplified Ratio: <u>3 : 2</u>

Birds / Cups

6 / 4

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15 / 10

18 / 12

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3 years ago