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nlexa [21]
3 years ago
11

A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?

Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

Answer:

\displaystyle y=-\frac{1}{2}x+1

Step-by-step explanation:

The equation of any line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Two points are given: (-6,4) and (-2,2). Calculating the slope:

\displaystyle m=\frac{2-4}{-2+6}=\frac{-2}{4}=-\frac{1}{2}

The equation of the line is, so far:

\displaystyle y=-\frac{1}{2}x+b

To calculate the value of b, we use any of the given points, for example (-6,4):

\displaystyle 4=-\frac{1}{2}(-6)+b

\displaystyle 4=3+b

Solving:

b = 1

The equation of the line is:

\boxed{\displaystyle y=-\frac{1}{2}x+1}

We can see none of the choices is correct.

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Raquel can type 63 words every minnute.Rick type then Raquel in 135 minute?Circle the letter of the correct answer.A 1350 B 4599
lozanna [386]

Answer: 1350

Step-by-step explanation:

Here is the correct question.

Raquel can type an average of 63 words per minute. Rick can type 73 words per minute. how many more words can Rick type than Raquel in 135 minutes? Jared chose B as the correct answer. How did he get that answer? Jared said the answer is 4599. How did he get that answer?

Rick's word per minute= 73

Raquel's word per minute= 63

Ricks word in 135minute= 73×135 = 9855

Raquel's word in 135 minutes=63×135 = 8505

=9855 - 8505

= 1350

Rick can type 1350 more words than Raquel in 135 minutes.

Jared's answer is wrong. He got the answer by multiplying 63 by 73 which gives 4599.

8 0
3 years ago
Read 2 more answers
Classify the following triangle. Check all that apply
konstantin123 [22]

D and E

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8 0
3 years ago
Read 2 more answers
The electrical charge on a metal plate is given
Katarina [22]

Answer:

after 10 seconds  the charge  is 1.624

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

The electrical charge on a metal plate is given  by the function below, where t is the time in  seconds. What is the charge after 10 seconds?

C (t) = 12e^{\frac{-t}{5} }

My answer:

Given the information:

C (t) = 12e^{\frac{-t}{5} }  

when t =10 we have:

C (10) = 12e^{\frac{-10}{5} }

<=>  C (10) = 12e^{-2}

<=>  C (10) = 12\frac{1}{e^{2} }

<=> C (10) = 12 * 0.1353

<=>  C (10) = 1.624

Hence, after 10 seconds  the charge  is 1.624

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Can the product of a whole number and a decimal number less than 1 ever be greater than the whole number? Give examples to suppo
masya89 [10]
No. Let's say we use 10 and 0.38. 1 X 10 is 10, so if anything is lower than 1, it will be lower than 10. Therefore, 0.38 X 10 is 3.8. This is less than the whole number, 10. Hope this is clear enough.
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3 years ago
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dangina [55]
I’m pretty sure the answer is either D or E but I’m not positive !
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