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Papessa [141]
3 years ago
7

5x-5y/4=4x-4/2 Find the equation of the line which passes through the point (10,7) and is perpendicular to the given line. Expre

ss in slope intercept form.
Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The equation of the given line is

(5x-5y)/4= (4x-4)/2

Cross multiplying

2(5x - 5y) = 4(4x - 4)

10x - 10y = 16x - 16

10y = - 6x + 16

y = -6x/10 + 16/10

Comparing with the slope intercept form,

Slope, m = - 6/10

This means that the slope of the line that is perpendicular to it is 10/6

The given points are (10,7)

To determine c,

We will substitute m = 10/6, y = 7 and x = 10 into the equation, y = mx + c. It becomes

7 = 10/6 × 10 + c

7 = 100/6 + c

7 = 50/3 + c

c = 7 - 50/3

c = - 29/3

The equation becomes

y = 10x/6 - 29/3

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kirza4 [7]

Answer:

the answer is 1/3

Step-by-step explanation:

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6 0
3 years ago
Which number line shows the solution of -4x+ 6&gt; 18?
Cloud [144]

Consider the below figure attached with this question.

Given:

-4x+6>18

To find:

The number of line that represents the solution of given inequality.

Solution:

We have,

-4x+6>18

Subtracting 6 from both sides, we get

-4x>18-6

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If an inequality is multiplied or divide by a negative number, then the sign of inequality must be change.

Divide both sides by -4.

x

x

The value of x is less than -3. It means number of the left of -3 are included in the solution set but -3 is not included in the solution set.

So, there is an open circle at x=-3 on the number and an arrow from -3  towards left.

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6 0
2 years ago
Which equation represents the line that passes through the point (-9, -3) and has a slope of -6?
NISA [10]

Answer:

y = -6x - 57

Step-by-step explanation:

We are given that a line passes through the point (-9, -3) and has a slope of -6

We want to write the equation of this line.

There are 3 ways to write the equation of the line, with the most common way being slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope of the line, we can immediately plug that in the equation for m

Substitute m with -6.

y = -6x + b

Now we need to find b

As the equation passes through the point (-9, -3), we can use its values to help solve for b.

Substitute -9 as x and -3 as y.

-3 = -6(-9) + b

Multiply

-3 = 54 + b

Subtract 54 from both sides

-57 = b

Substitute -57 as b in the equation.

y = -6x - 57

Topic: finding the equation of the line

See more on this topic here: brainly.com/question/27645158

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i cannot help with all this but 16 would be 33 ft

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