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kykrilka [37]
2 years ago
5

What is the equation of a line that is perpendicular to y = 3x -2 and passes

Mathematics
1 answer:
White raven [17]2 years ago
7 0

Answer:

A. y=-1/3x+10

Step-by-step explanation:

Perpendicular gradients(slopes) are negative reciprocals so

m=-1/3  then use the point (6,8) to find the equation of the line

y=mx+b

8=(-1/3)(6)+b

8=-2+b

b=10

y=-1/3x+10

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NEED HELP ASAP!!!<br> thank you.
Alex17521 [72]

Answer:

See explanation

Step-by-step explanation:

Consider triangles ACM and BCM. In these triangles,

  • m\angle 3=m\angle 4 - given;
  • m\angle 1=m\angle 2=90^{\circ} - definition of perpendicular lines CM and AB;
  • \overline{CM}\cong \overline{CM} - reflexive property.

So,

\triangle ACM\cong \triangle BCM by ASA postulate (if one side and two angles adjacent to this side of one triangle are congruent to one side and two angles adjacent to this side of another triangle, then two triangles are congruent).

Two-column proof:

      Statement                                 Reason

1. m\angle 3=m\angle 4                          Given

2. CM\perp AB                        Given

3. m\angle 1=m\angle 2=90^{\circ}       Definition of perpendicular lines CM and AB

4. \overline{CM}\cong \overline{CM}          Reflexive property

5. \triangle ACM\cong \triangle BCM                       ASA postulate

7 0
2 years ago
According to a survey of adults, 64 percent have money in a bank savings account. If we were to survey 50 randomly selected adul
zheka24 [161]

Answer:

The mean number of adults who would have bank savings accounts is 32.

Step-by-step explanation:

For each adult surveyed, there are only two possible outcomes. Either they have bank savings accounts, or they do not. So we use the binomial probability distribution to solve this problem.

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

In this problem, we have that:

p = 0.64

If we were to survey 50 randomly selected adults, find the mean number of adults who would have bank savings accounts.

This is E(X) when n = 50.

So

E(X) = np = 50*0.64 = 32

The mean number of adults who would have bank savings accounts is 32.

6 0
3 years ago
Pllssss help I put B, but I got it wrong the first time. NO LINKS
Mamont248 [21]

Answer:

<em>D.1767.1 in³</em>

Step-by-step explanation:

<em>volume of a sphere=4/3πr³</em>

<em>where r=radius of the sphere</em>

<em>Given diemeter= 15in</em>

<em>so radius=15/2=7.5in</em>

<em>volume=4/3×π×(7.5)³</em>

<em>=4/3×22/7×(7.5)³</em>

<em>=1767.1in³</em>

<em>hope it helps...</em>

<em>have a great day!!</em>

6 0
2 years ago
11. You pay $24.50 for 10 gallons of gasoline and one
Cloud [144]
Ummm this confuses me a bit
6 0
3 years ago
Earth is approximately 9.3 × 107 miles from the sun. Saturn is approximately 8.87 × 108 miles from the sun. About how much farth
Lostsunrise [7]
First you get both distances
9.3 x 107 = 995.1 miles
8.87 x 108 = 957.96 miles
then you subtract them both
995.1 - 957.96 = 37.14 miles
and 37.14 miles is the distance between Earth and Saturn.
5 0
3 years ago
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