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3 years ago

Find the equation of the line that is perpendicular to 3x + 2y = -2 and goes through the point (6,2)

Mathematics

1 answer:

notka56 [123]3 years ago

4 0

Perpendicular lines have slopes that are inverse reciprocals of each other. That would give you the new slope in your equation. After that plug (6,2) into point slope form and solve to get your final equation.

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Which table shows equivalent times in minutes and seconds

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3 years ago

Find the distance between the given points: (2, -2) and (-4, 7)

sasho [114]

Answer:

$3\sqrt{13}$

Step-by-step explanation:

Hi there!

We want to find the distance between the points (2, -2) and (-4, 7).

To do that, we can use the distance formula.

The distance formula is given as $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything needed to find the distance, but let's label the values of the points to avoid any confusion

$x_1=2\\y_1=-2\\x_2=-4\\y_2=7$

Now substitute those values into the formula and solve

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\sqrt{(-4-2)^2+(7--2)^2}$

Simplify

$\sqrt{(-4-2)^2+(7+2)^2}$

$\sqrt{(-6)^2+(9)^2}$

Square the numbers under the radical

$\sqrt{36+81}$

Add the numbers under the radical together

$\sqrt{117}$

Simplify the square root

$3\sqrt{13}$

Hope this helps!

6 0

3 years ago

find the y intercept of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.

Olin [163]

Answer:

Step-by-step explanation:

The answer is 3 because the blue line goes across the y - axis at 3.

7 0

3 years ago

Which equation has the least steep graph?

MAVERICK [17]

Answer:

$y=\frac{1}{4}x+6$

Step-by-step explanation:

$y=\frac{1}{4}x+6$ is the least steeped graph

The greater the slope, the steeper the line.
Also you use the absolute values of the slopes when determining the steepness.

So here it would be: $\frac{3}{4},7,\frac{1}{4},2$
Now, arrange them from least to greatest: $\frac{1}{4},\frac{3}{4},2,7$

As you can see, $\frac{1}{4}$ is the smallest number/slope.

Hope this helps!

7 0

3 years ago

My brother needs help

kkurt [141]

Answer:

1.95

Step-by-step explanation:

i used scientific its a caculator

3 0

3 years ago

Read 2 more answers