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morpeh [17]
2 years ago
5

Write the equation of the line that passes through points (-7,8) and (4,-5)

Mathematics
2 answers:
VLD [36.1K]2 years ago
6 0

Answer:

y = -13/11x - 3/11

Step-by-step explanation:

First, find the slope of the line using the slope formula.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-5-8}{4-(-7)}\\m=-\frac{13}{11}

Then, use the point-slope formula and substitute the values for the variables.

y-y_1=m(x-x_1)\\y-8=-\frac{13}{11}(x-(-7))\\y-8=-\frac{13}{11}x-\frac{91}{11}\\y=-\frac{13}{11}x-\frac{3}{11}

Alex2 years ago
5 0

Answer:

y=-3/11x+67/11

Step-by-step explanation:

y-8=-5-8/4--7(x--7)

y-8=-3/11(x+7)

11y-88=-3x-21

11y=-3x-21+88

11y=-3x+67

y=-3/11x+67/11

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What would be the best description of the John’s times rounded to quarter hours (15 minutes)
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Answer:

2. 8:45am to 5:15pm

Step-by-step explanation:

Looking at the table of John's times, he arrived at 8:42am and left at 5:14pm.  If you are rounding to the nearest quarter hour, or 15 minutes, you time would need to be at the hour, 15 minutes after, 30 minutes after or 45 minutes after. Given those options, the closest times would be 8:45am and 5:15pm.

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2 years ago
True or false: 4/8 and 10/16 are equivalent fractions?
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Answer:

False

Step-by-step explanation:

Multiply 8 by 2 to create the common denominator (which is 16).

Now multiply 4 by 2 to keep the fraction even.

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Another way you could write this inequality:

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3 years ago
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PLEASE HELP URGENT<br><br> Given \tan \theta =0.6, find the value of b.
xxTIMURxx [149]

Answer:

b=8.5cm

Step-by-step explanation:

tanx (this represents tan theta, it's just easier to type) is equal to 0.6 and since the tanx ratio is opp/adj, we know that opp/adj = 0.6

To find what b is (adjacent as it is adjacent to the angle being used and it is not the hypotenuse), we just have to rearrange.

0.6=5.1/adj

to solve for adj, we can switch 0.6 and adj. (This works because to get adj by itself on one side you would multiply it to the other side and then divide 0.6 from both sides --> simple algebra)

so then you have

adj=5.1/0.6

adj=8.5cm

(if you want to check your solution you can use pythagoeran theorem, a^2+b^2=c^2) and sub everything in and make sure all the numbers equal the right thing!

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2 years ago
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