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2 years ago

Identify A, B and C for the following equation: 5y = 15x -90

Mathematics

1 answer:

kirza4 [7]2 years ago

3 0

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

First we need to convert the equation into ax+by+c=0 form

$\sf 5y=15x-90$

$\longrightarrow$ $\sf 15x-90-5y=0$

$\longrightarrow$ $\sf 15x-5y-90=0$

Now compare with ax+by+c=0
We get
ax=15x
by=-5y
c=-90

<h3>Hence the values are </h3>

$\sf a=15 \\ \sf b=-5 \\ \sf c=-90$

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andreyandreev [35.5K]

Answer:

Coordinates of the new library is (150, 70)

Step-by-step explanation:

To get the shortest possible distance means that line from point T to point R has to be perpendicular.

Now, the equation of R is given as;

y = x - 80 - - - (1)

For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.

Thus, slope of T is -1/1 = - 1

Thus, using line - slope intercept of y = mx + c, we can find equation of T as;

140 = -1(80) + c

140 = -80 + c

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c = 220

Thus, equation is;

y = -x + 220 - - - (eq 2)

Adding equation 1 to equation 2,we have;

y + y = 220 - 80

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y = 140/2

y = 70

Putting 70 for y in eq 1 gives;

70 = x - 80

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x = 150

Thus;

Coordinate of the new library is (150, 70)

8 0

2 years ago

Which is the equation in slope-intercept form for the line that passes through (3, 7)

quester [9]

Answer:

$y = - \frac{5}{3} x + 12$

Step-by-step explanation:

First, rewrite the given equation in the form of y=mx+c.

m is the gradient while c is the y-intercept.

3x-5y=8

5y= 3x -8

$y = \frac{3}{5} x - \frac{8}{5}$

Thus, the gradient of the given equation is ⅗.

The product of the gradients of perpendicular lines is -1.

(gradient of line)(⅗) = -1

gradient of line= -1 ÷⅗

gradient of line= $- \frac{5}{3}$

$y = - \frac{5}{3} x + c$

To find the value of c, substitute a coordinate.

When x=3, y=7,

$7 = - \frac{5}{3} (3) + c$

7= -5 +c

c= 7+5

c= 12

Hence, the equation of the line is $y = - \frac{5}{3} x + 12$ .

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2 years ago

Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which dete

zysi [14]

Answer:

Number of hours= 48 hours

Step-by-step explanation:

Giving the following information:

Hourly rate= $7.25

Total earned= $348

<u>To calculate the number of hours worked, we need to use the following formula:</u>

Total earned= hourly rate*number of hours

number of hours= total earned / hourly rate

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2 years ago

The roof of Mr. Thompson’s house is blank feet high to climb on top of his house healing a 13 foot ladder against the roof of hi

Andrews [41]

Okay, what's the question!

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2 years ago

I have a square graph, but I would like to make the graph larger.

fenix001 [56]

FORMULA:

Area of ⬜ = (side)²

ANSWER:

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Hence, The area of the new graph is a perfect square trinomial: __4__s² + __12__s +__9__.

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3 years ago