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3 years ago

Solve the equation a = m – n for the variable n.

Mathematics

1 answer:

MaRussiya [10]3 years ago

8 0

Answer:

$m - a = n$

Step-by-step explanation:

Step 1: Subtract m from both sides

$a - m = m - n - m$

$a - m = -n$

Step 2: Divide both sides by -1

$(a - m) / -1 = -n / -1$

$-a + m = n$

$m - a = n$

Answer: $m - a = n$

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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo

nlexa [21]

Given:

Equation of line $7x-4y=-12$ .

To find:

The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

$7x-4y+12=0$

Slope of line is

$\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}$

$m_1=-\dfrac{7}{(-4)}$

$m_1=\dfrac{7}{4}$

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

$m_1m_2=-1$

$m_2=-\dfrac{1}{m_1}$

$m_2=-\dfrac{4}{7}$ $[\because m_1=\dfrac{7}{4}]$

Now, the slope of perpendicular line is $m_2=\dfrac{4}{7}$ and it goes through (-21,2). So, the equation of line is

$y-y_1=m_2(x-x_1)$

$y-2=-\dfrac{4}{7}(x-(-21))$

$y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)$

$y-2=-\dfrac{4}{7}x-12$

$y=-\dfrac{4}{7}x-12+2$

$y=-\dfrac{4}{7}x-10$

Therefore, the required equation in slope intercept form is $y=-\dfrac{4}{7}x-10$ .

7 0

3 years ago

WILL MAKE BRAINLIEST!!! Match the correct scale factor to each dilation. Solve for a and b

White raven [17]

Answer:

I am having a hard time reading the letters, so I hope this makes sense. I think that the numbers for the top triangles is given is 6 and 3. That means that the scale factor from the little to the big is 2 and from the big to the little is 1/2. It is the same for the bottom triangles.

Step-by-step explanation:

If the triangles are similar the scale factors will be the same for all three corresponding sides of the triangle. You find the two sides that are corresponding and ask yourself what do I have to multiple the side of of triangle to get the new triangle.

If one side is 3 and the other triangles side is 6. I am asking myself what do I have to multiple 3 by to get 6? 2. That is my scale factor.

3x = 6

x = 2

The scale factors are always reciprocals of each other. If I go the other direction I can write the equation

6x = 3 and when I divide both sides by 6, I get a scale factor of 1/2.

The bottom triangles:

2.5 x = 5

x = 2

and

5x = 2.5

x =1/2

4 0

2 years ago

The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of

Cloud [144]

Part a : you could draw a line from each corner to the middle
This would give you 7 triangles in total

Part b : area of one triangle : 4.5*7.8 = 35.1 / 2 = 17.55in <-- area of 1 triangle

Part c : so if there are 7 triangles and the area of 1 triangle is 17.55, you would do:
7 * 17.55 = 122.85

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3 years ago

6. Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8)

Yakvenalex [24]

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

This function has two roots: -3 and 5. Most likely it is a quadratic (all of which have two roots).

Then f(x) = a(x + 3)(x - 5)

The graph goes through (1. 8): Therefore, y = 8 when x = 1:

f(1) = a(1 + 3)(1 - 5) = 8, or

a(4)(-4) = 8, or

-16a = 8, which leads to a = -1/2.

Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or

f(x) = (-1/2)(x^2 + 8x - 15)

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3 years ago

If you save $700 and earn $3 interest for every $100, how much money will you have in all?

Margaret [11]

Answer:

721

Step-by-step explanation

700 divided by 100 is 7.

So you have 7 hundred and 7 times 3 is 21.

700+21=721

4 0

3 years ago

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