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3 years ago

Write an equation in slope-intercept form (y = mx + b).

Mathematics

1 answer:

Wewaii [24]3 years ago

4 0

Answer:

y = 2/7x + 7

Step-by-step explanation:

We start off by putting the original equation into slope-intercept form. Subtract 7x from both sides, then divide both sides by -2. Your new equation should be y = -7/2x - 8. It's important to know that when two lines are perpendicular, their slopes (m) are opposite reciprocals of each other. So -7/2 becomes 2/7. The first part of your final equation is y = 2/7x + b.

Next, we need to find the y intercept (b). You need to plug the x and y values from the given coordinate point (-7,5) into your final equation. You should end up with: 5 = 2/7(-7) + b. Then, solve for b.

5 = -14/7 + b

5 = -2 + b

7 = b

Finally, plug the b value into your final equation and you will have your answer.

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What is the absolute value of 5.23

Zepler [3.9K]

Answer:

5.23

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

ACTIVITY 1

aleksklad [387]

Answer:

Question A:

1. 1/2 = 0.5 (Terminating)

2. 5/6 = 0.833333.. (Repeating)

3. 21/3 = 1.6666666.. (Repeating)

Question B:

1. 0.6 = 3/5

2. 1.25 = 5/4 = 1 1/4

3. 0.125 = 1/8

Step-by-step explanation:

A. Write the fraction or mixed number as a terminating or repeating decimal.

In order to convert a fraction into decimal, the numerator has to be divided by denominator.

1. 1/2

The answer is: 0.5 which is a terminating decimal.

2. 5/6

The answer is: 0.833333.. which is a repeating decimal.

3. 2 1/3 (assuming the question is this)

$2\frac{1}{3} = \frac{7}{6} = 1.6666666..$

The answer is 1.6666666.. which is a repeating decimal.

B. Write the terminating decimal as fraction or mixed number i n simplest form.

1. 0.6

$0.6 = \frac{6}{10} = \frac{3}{5}$

2. 1.25

$1.25 = \frac{125}{100} = \frac{5}{4} = 1\frac{1}{4}$

3. 0.125

$0.125 = \frac{125}{1000} = \frac{5}{40} = \frac{1}{8}$

Hence,

Question A:

1. 1/2 = 0.5 (Terminating)

2. 5/6 = 0.833333.. (Repeating)

3. 21/3 = 1.6666666.. (Repeating)

Question B:

1. 0.6 = 3/5

2. 1.25 = 5/4 = 1 1/4

3. 0.125 = 1/8

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3 years ago

What is 3 1/8 - 2 1/8 =

Kay [80]

Answer:

Step-by-step explanation:

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3 years ago

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Suppose $1000 is invested at a rate of 13% per year compounded monthly. (Round your answers to the nearest cent.)

masya89 [10]

Answer:

a. $1010.83

b.$1066.77

c. $1138.00

d.$13,269.22

Step-by-step explanation:

Given the annual rate as 13%(compounded monthly) and the principal amount as $1000.

a. #first we calculate the effective annual rate;

$i_m=(1+i/m)^m-1\\\\i_{12}=(1+0.13/12)^{12}-1=0.1380$

The compounded amount after 1 month is therefore:

$P_1=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_1=1000(1+0.1380)^{1/12}\\\\P_1=1010.83$

Hence, the principle after one month is $1010.83

b. The principal after 6 months:

-From a above we have the effective annual rate as 0.1380 and our time is 6 months:

$P_{6m}=P(1+i_m)^n, \ n=6m, P=1000, i_m=0.1380\\\\P_{6m}=1000(1+0.1380)^{6/12}\\\\=1066.77$

Hence, the principal after 6 months is $1066.77

c.The principal after 1 year:

-From a above we have the effective annual rate as 0.1380 and our time is 12 months:

$P_{1y}=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_{1y}=1000(1+0.1380)^{12}\\\\P_{1y}=1138$

Hence, the principal after 1 year is $1138.00

d. The principal after 20years:

-From a above we have the effective annual rate as 0.1380 and our time is 20yrs:

$P_{20y}=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_{20y}=1000(1+0.1380)^{12}\\\\P_{20y}=13269.22$

Hence, the principal after 20 years is $13,269.22

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4 years ago

PLEASE HELP SOLVE BOTH

Radda [10]

In my school, we do congruent statements with triangles by using SSS,ASA, SAS, etc.

For the first one, it would be SSS because the side-side-side matches up with side-side-side.

For the second one, I believe they are not similar because the lengths are corresponding between the two triangles.

Hope this helps! :)

If you need any help on triangle congruency statements, I have a flip-booklet we made in our geo class that helps a lot, and I would love to send it to you!

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3 years ago