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3 years ago

Look at image worth 20 pointd help!!

Mathematics

1 answer:

Alecsey [184]3 years ago

7 0

Answer:

$y=-\frac{9}{7}x-2$

Step-by-step explanation:

Here, we have to convert the equation to slope-intercept form so we can find the perpendicular slope:

$7x-9y=-5$

$-9y=-5-7x$

$y=-\frac{5}{9}+\frac{7}{9}x$

$y=\frac{7}{9}x-\frac{5}{9}$

Since our slope is $m=\frac{7}{9}$ , then that means the slope perpendicular to it is $m=-\frac{9}{7}$ .

Now we find our new y-intercept so that the line will pass through the point (-7,7):

$y=mx+b$

$y=-\frac{9}{7}+b$

$7=-\frac{9}{7}(-7)+b$

$7=9+b$

$-2=b$

Therefore, the equation of the new line is $y=-\frac{9}{7}x-2$

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Solving the systems of equations by elimination-solo team teach x+y=-7 3x+y=-9

maria [59]

Answer: x= -1, y= -6

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3 years ago

Molly tried to evaluate 93\times5193×5193, times, 51 using partial products. Her work is shown below.

Mrac [35]

Since molly's solution tally's with the given solution, hence Molly's solution is correct.

Given the working on a partial product of 93 and 51 carried out by Molly as shown:

$\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}$

This partial product can also be solved as shown below:

$93 \times 51 = (90+3)\times (50+1)$

Applying the distributive law:

$93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743$

Since molly's solution tally's with the given solution, hence Molly solution is correct.

Learn more about partial product at: brainly.com/question/24716925

5 0

3 years ago

You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. Suppose that you h

damaskus [11]

Answer:

a) Expected score on the exam is 12.8.

b) Variance 10.24, Standard deviation 3.2

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you does not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$