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Paul [167]
3 years ago
7

What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the poin

t (–12, 10)?
a.y = x – 6
b.y = x + 6
c.y = x + 26
d.y = x + 10
Mathematics
1 answer:
Ostrovityanka [42]3 years ago
5 0
Y= 3/4x - 2   (-2,10)= (x1,y1)
The slope is -4/3 of the perpendicular line:
Then:
y-y1=m(x-x1)
y-10=(-4/3)(x+2)
y=-(4/3)x -8/3 +10
y= -(4/3)x +22/3 (That's the answer)
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Vilka [71]

Answer:

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3 0
3 years ago
Find all solutions to the equation.<br><br> cos2x + 2 cos x + 1 = 0
yanalaym [24]
For cos(2x) * (2cos(x) + 1) = 0, use the double angle identity for cos(2x), which is cos^2 x - sin^2 x = cos^2 x - (1-cos^2) = 2cos^2 x - 1.
So we have (2cos^2 x - 1)(2cos x + 1) = 0. So 2cos^2 x -1 = 0 or x = 0 and 2pi.
For 2sec^2 x + tan^2 x - 3 = 0, use the identity sec^2 x = tan^2 x + 1, so we have
2(tan^2 x + 1) + tan^2 x - 3 = 0 or
<span>2tan^2 x + tan^2 x - 1 = 0 or
</span>3 tan^2 x = 1.

So x = pi/2, pi/2 + pi = 3pi/2.

5 0
3 years ago
The distance between my house and Memphis is 150 km. If I drive in my car, it takes me 72 min to make the first 100 km of the dr
Cloud [144]

Set up a ratio:

You drove 72 minutes and 100 km = 72/100

You want the number of minutes (x) to drive 150 km = x/150

Set the ratios to equal each other and solve for x:

72/100 = x/150

Cross multiply:

(72 * 150) = 100 * x)

Simplify:

10,800/100x

Divide both sides by 100:

x = 10800/100 = 108

This means it would take 108 minutes to drive 150 km.

Now subtract the time you have already driven to fin how much more you need:

180 - 72 = 36 more minutes.

4 0
3 years ago
Read 2 more answers
A worker submits the following data on a timesheet: Week 1 — Total hours: 42 (including 4 hrs sick leave, 6 hrs travel) Week 2 —
Assoli18 [71]

Answer:

12.5%

Step-by-step explanation:

In order to find the percentage the worker spent traveling, we can make us of the following ratio:

\frac{number}{ammount}=\frac{percent}{100}

where number is how many hours he spent traveling, ammount is the total ammount of hours he reported and percent is the percentage we want to find. So we can solve the ratio for the percent, so we get:

percent=\frac{number}{ammount}*100%

now, we need to find the total amount of hours he spent traveling, this is gotten by adding the provided data:

6hrs+5hrs=11hrs

next we need to find the total amount of hours reported:

42hrs+46hrs=88hrs

so now we can substitute the data the problem provided us with:

percent=\frac{11}{88}*100%

which yields:

percent=12.5%

6 0
3 years ago
Write as a fraction or as a mixed number in simplest form 0.27
Harman [31]
27/100 because you can't simplify 27 and 100 so it's just 27/100
7 0
3 years ago
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