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3 years ago

Write in point-slope form an equation of the line through each pair of points

Mathematics

2 answers:

8090 [49]3 years ago

6 0

Answer:

y=-x-7

Step-by-step explanation:

Point slope form --> y=mx+b where m=slope & b= x intercept:

Slope = delta x / delta y;

delta x = -10 - (-2) = -8;

delta y = 3 - (-5) = 8; therefore Slope = -1

b --> y = mx + b plug one set of coordinates into equation & solve for b:

3 = (-1)(-10) + b --> b = 3 - 10 = -7

Taking all rhat inro account you get answerg

y = (-1)x - 7

Effectus [21]3 years ago

3 0

Answer:

Answer:

Solution given:

$(x_1,y_1)=(-10,3)$

$(x_2,y_2)=(-2,-5)$

now

slope: $\frac{y_2-y_1}{x_2-x_1}=\frac{-5-3}{-2+10}=\frac{-8}{8}$

Slope: -1

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At the beginning of the day the stock market goes up 30 1/2 points. At the end of the day, the stock market goes down 100 3/4 po

Akimi4 [234]

Well, is namely their difference, so, let's first convert the mixed fractions to "improper", and subtract.

$\bf \stackrel{mixed}{30\frac{1}{2}}\implies \cfrac{30\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{61}{2}}
\\\\\\
\stackrel{mixed}{100\frac{3}{4}}\implies \cfrac{100\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{403}{4}}\\\\
-------------------------------\\\\
\cfrac{61}{2}-\cfrac{403}{4}\impliedby \textit{so our \underline{LCD is 4}}\implies \cfrac{(2\cdot 61)~-~(1\cdot 403)}{4}
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\cfrac{122-403}{4}\implies \cfrac{-281}{4}\implies -70\frac{1}{4}$

5 0

3 years ago

Which of the following expressions are equivalent to 7.2 ÷ -8.1 ÷ -3.7?

Inessa05 [86]

Step-by-step explanation:

7.2 / (-8.1) / (-3.7) = Positive

A = (-7.2) / (-8.1) / (-3.7) = Negative

B = (-7.2) / (8.1) / (3.7) = Negative

Hence the answer is C, none of the above.

3 0

3 years ago

3q+4+9=-14 <br> what is Q

BlackZzzverrR [31]

Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

$\huge{3q+4+9=-14}$

We can add 4 and 9 together.

$\huge{3q+13=-14}$

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

$\huge{3q+13-13=-14-13}\\\huge{3q=-27}$

We are reaching to the final step where we divide the whole equation by 3.

$\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}$

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

$\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}$

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

5 0

3 years ago

Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi

den301095 [7]

Answer:

Test scores of 10.2 or lower are significantly low.

Test scores of 31 or higher are significantly high

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 20.6, \sigma = 5.2$

Significantly low:

Z-scores of -2 or lower

So scores of X when Z = -2 or lower

$Z = \frac{X - \mu}{\sigma}$

$-2 = \frac{X - 20.6}{5.2}$

$X - 20.6 = -2*5.2$

$X = 10.2$

Test scores of 10.2 or lower are significantly low.

Significantly high:

Z-scores of 2 or higher

So scores of X when Z = 2 or higher

$Z = \frac{X - \mu}{\sigma}$

$2 = \frac{X - 20.6}{5.2}$

$X - 20.6 = 2*5.2$

$X = 31$

Test scores of 31 or higher are significantly high

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3 years ago

WILL GIVE BRAINEST

Helga [31]

Answer is D. Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for th remaining varables

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3 years ago

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