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Oxana [17]
3 years ago
10

Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (1,7) and perpendicular to 3

x+7y=1
Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0
Slope intercept form & in standard form , passes through (1, 7) , perpendicular to 3x + 7y = 1

Turn 3x + 7y = 1 into slope-intercept form.

Remember, slope-intercept form is : y=mx+b where m=slope & b=y-intercept.

To turn out given equation into slope-intercept form, we must get x & y onto different sides.

So, subtract 3x from both sides.

7y = -3x + 1

Then, divide both sides by 7.

y = -3/7x + 1/7

Remember, when an equation is perpendicular to another equation, both equations have negative reciprocals. 

m₁=-3/7 & m₂=7/3

Our new equation has these things in it :

A slope of 7/3 & it passes through (1, 7)

So, simply plug these into the slope-intercept equation.

y=mx+b

y = 7/3x + 7 → (a)Slope-intercept form 

Now we must put this into (b)standard form.

Standard form is :  Ax+Bx=C

So, we just use our slope-intercept form, but rearrange it :)

y = 7/3x + 7

In standard form, x & y are on the same side, so we simply subtract 7/3x from both sides.

-7/3x + y = 7 → (b)Standard Form

~Hope I helped!~
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Answer:

he had either 8 (or 5 if it is a trick question)

Step-by-step explanation:

4*2=8

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How must larger then 1/4 mile is 9/10 mile please show work.
alina1380 [7]

Answer:

13/20

Step-by-step explanation:

Another way of asking this question is to ask for the difference of 1/4 and 9/10. The equation will start with 9/10 - 1/4.

9/10 - 1/4

Equations can only be added or subtracted when the denominators (bottom numbers) are the same. To do this, you must find a number that can be divided by both denominators. In this case, 20 can be divided by 4 and 10.

(9*2)/(10*2) = 18/20

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18/20 - 5/20 = 13/20

13/20 cannot be simplified as 13 is a prime number

13/20

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3 years ago
Which of the following fractions is NOT equivalent to the others?
Colt1911 [192]

Answer:

C

Step-by-step explanation:

Just simplify each possible answer by dividing by the lowest common factor, and find the odd one out.

A. 24/36 =  2/3 (LCF of 12)

B. 8/12 = 2/3 (LCF of 4)

C.  12/16 = 3/4 (LCF of 4)

D. 4/6 = 2/3 (LCF of 2)

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2 years ago
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step 2

Step-by-step explanation:

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f < A and < B are complementary, and < A = 3x + 4 degrees, while < B = 6x - 4 degrees, find x.
Ghella [55]

Answer:

x = 8/3 or 2 2/3

Step-by-step explanation:

if angles A and B are complementary then their sum is 90 degrees

we can write the following equation to find 'x':

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subtract '3x' from each side:

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