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2 years ago

A line with a slope of 1/4 passes through (-1,-4). Write the equation of the line in general form.

Mathematics

1 answer:

Assoli18 [71]2 years ago

4 0

Answer:

Step-by-step explanation:

y = mx + b

slope(m) = 1/4

(-1,-4)...x = -1 and y = -4

now sub and find b, the y intercept

-4 = 1/4(-1) + b

-4 = -1/4 + b

-4 + 1/4 = b

-16/4 + 1/4 = b

-15/4 = b

so the equation in slope intercept form is : y = 1/4x - 15/4

but we need it in general form : Ax + By + C = 0

y = 1/4x - 15/4.....multiply everything by 4 to get rid of fractions

4y = x - 15......subtract x and add 15 ...to both sides

4y - x + 15 = 0 <=== general form

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Romashka [77]

Given:

m∠DAE = 30°

m∠CBE = 20°

To find:

The value of x.

Solution:

In rectangle, all angles are right angle.

m∠A = m∠B = m∠C = m∠D = 90°

m∠EDA + m∠EAB = 90°

30° + m∠EAB = 90°

m∠EAB = 90° - 30°

m∠EAB = 60°

Similarly, m∠CBE + m∠EBA = 90°

20° + m∠EBA = 90°

m∠EBA = 90° - 20°

m∠EBA = 70°

In triangle AEB,

Sum of all angles in a triangle = 180°

m∠EAB + m∠AEB +m∠EBA = 180°

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130° + x° = 180°

Subtract 130° from both sides, we get

x° = 50°

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The value of x is 50.

7 0

3 years ago

It takes 5 men 12 days ro complete a job how many days does it take 3 men to complete the job

ss7ja [257]

Answer:

5=12

3=? then Criss cross it and you will get 12*3 divided by 5 then you get 7.2

so the answer will be 7 days

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2 years ago

If the area of a rectangle is 24a2b and the length is 8ab2, what would be the width of the rectangle, given that width is found

Goshia [24]

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3 years ago

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2 years ago

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larisa86 [58]

Hello There!

You would have to do work out 2 to the fourth power.
Also, 3 x 4.
The rules of powers are:
If you have to multiply, you add them
If you have to divide, you subtract them
If they are in brackets like this ^^, you multiply them.

Therefore, your answer is $16^{12}$

Hope This Helps You!
Good Luck :)

- Hannah ❤

8 0

2 years ago

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