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3 years ago

11

What is an equation of the line that passes through the point (6,0) and is perpendicular to the line 3x+4y=20

1 answer:

My name is Ann [436]3 years ago

7 0

Answer:

The equation of the line is y = 4/3x - 8

Step-by-step explanation:

In order to find this, we first have to find the slope of the original line. We do this by solving for y.

3x + 4y = 20

4y = -3x + 20

y = -3/4x + 5

Now that we have the slope of -3/4 we can find the perpendicular slope. The perpendicular slope of any time is the opposite and reciprocal slope. So we flip -3/4 to get -4/3 and then we make it positive (4/3). Now that we have our new slope, we can input it along with the point into point-slope form to find the equation.

y - y1 = m(x - x1)

y - 0 = 4/3(x - 6)

y = 4/3x - 8

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Can we conclude that these two triangles are congruent?

Aleonysh [2.5K]

Answer:

Yes,

Step-by-step explanation:

because two sides are shown equal to each other, a and b. Also two angles are equal to each other, x and y. Once you know two angles or two sides are equal so is the third side.

Another way is SAS (side angle side). There is side a, angle y, and side b. These are shown on both triangles.

Therefore, we can conclude these two triangles are congruent.

5 0

4 years ago

I need help please?!!!!!

ozzi

Answer:

8

Step-by-step explanation:

plug in the number 4, it would be 5•4-12

Do 5•4=20

20-12=8

7 0

3 years ago

There are 6 dogs and 12 cats in the backyard. Write the ratio of cats to total animals In 3 ways, in simplest form.

Luda [366]

Step-by-step explanation:

12:18

12 to 18

12/18 = 2/3

5 0

3 years ago

Juans three math quizzes this week took him 1/3?4/6?and1/5 hour to complete. List all the fraction from least to greatest

Alex

Answer:

$\frac{1}{5}$ , $\frac{1}{3}$ , $\frac{4}{6}$ .

Step-by-step explanation:

Given fractions $\frac{1}{3}$ , $\frac{4}{6}$ , $\frac{1}{5}$ .

We need to list them from least to greatest.

In order to arrange them from least to greatest, we need to find the least common denominator of $\frac{1}{3}$ , $\frac{4}{6}$ , $\frac{1}{5}$ .

We have 3, 6 and 5 in denominators.

Least common multiple of 3, 6 and 5 is = 30, because 30 is least number that can be divided by all three number 3, 6 and 5.

Let us covert each denominator as 30.

Multiplying first fraction $\frac{1}{3}$ by 10 in top and bottom, we get

$\frac{1}{3} = \frac{1\times10}{3\times10}=\frac{10}{30}$

Multiplying first fraction $\frac{4}{6}$ by 5 in top and bottom, we get

$\frac{4}{6} = \frac{4\times5}{6\times5}=\frac{20}{30}$

Multiplying first fraction $\frac{1}{5}$ by 6 in top and bottom, we get

$\frac{1}{5} = \frac{1\times6}{5\times6}=\frac{6}{30}.$

Now, we can check $\frac{10}{30}, \frac{20}{30} \ and \ \frac{6}{30}.$

$\frac{6}{30}$ is the smallest, $\frac{10}{30}$ is greater and $\frac{20}{30}$ is the greatest.

Therefore, we can arrange fractions $\frac{6}{30}, \frac{10}{30} \ and \ \frac{20}{30}.$

Writing original fractions in place of equivalent fractions, we can write

$\frac{1}{5}$ , $\frac{1}{3}$ and $\frac{4}{6}$ .

Therefore, the order the amounts of paint from least to greatest is:

$\frac{1}{5}$ , $\frac{1}{3}$ , $\frac{4}{6}$ .

4 0

3 years ago

lydia and annette are standing next to each other. lydia is 40 inches tall , and her shadow is 60 inches long. if annettes shado

Tasya [4]

75-60=15
40+15=55 so Annette is 55 inches tall

6 0

3 years ago