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-Dominant- [34]
2 years ago
6

ct%20%5C%3A%20of%20%5C%3A%20r" id="TexFormula1" title="y = \frac{x - r}{x + r?} find \: the \: subject \: of \: r" alt="y = \frac{x - r}{x + r?} find \: the \: subject \: of \: r" align="absmiddle" class="latex-formula">
find the value of r if y=3,and x=3.
​
Mathematics
1 answer:
Olenka [21]2 years ago
6 0

Answer:

r=-3/2=-1.5

Step-by-step explanation:

y=\frac{x+r}{x-r}\\\text{At} \ x=3\ \text{and} \ y=3\\3=\frac{3-r}{3+r}\\3*(3+r)=(3-r)\\9+3r=3-r\\6=-4r,\ r=-3/2=-1.5

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Write y+7 = 2/3 (4x-6) in standard form using integers
Marrrta [24]

9514 1404 393

Answer:

  8x -3y = 33

Step-by-step explanation:

Multiply by 3 to eliminate the fraction. Then rearrange to standard form.

  y +7 = 2/3(4x -6) . . . . . . . given

  3(y +7) = 2(4x -6) . . . . . . . multiply by 3

  3y +21 = 8x -12 . . . . . . . . eliminate parentheses

  33 = 8x -3y . . . . . . . . . . add 12-3y to both sides

  8x -3y = 33 . . . . . . . . . swap sides to put into standard form

_____

Standard form has mutually prime integer coefficients, the leading one being positive.

4 0
2 years ago
Please help it’s the last question
Mrac [35]

Answer:

y= -\frac{5}{6}x - 1 is the answer

Step-by-step explanation:

Equation of the line: y = 6/5x + 1

                        = 5y = 6x + 5

                        = 6x - 5y + 5

Equation of the perpendicular line: bx - ay + k = 0

                                                       = -5x -6y + k = 0

Equation passes through (6,-6),

-5(6) -6(-6) + k = 0

-30 + 36 + k = 0

6 + k = 0

k = -6

Substituting,

-5x -6y + k = 0

-5x -6y -6 = 0

-6y = 5x + 6

y= -\frac{5}{6}x - 1 (Slope-Intercept form)

6 0
3 years ago
Explain how to find the number of grams of fat in 2.5 cups of corn if there are 7.87 grams of fat in 1 cup of corn.
Zielflug [23.3K]
We  have to realize a simple rule of three  

if 1 cup of corn------------------------- > 7.87 g of fat
2.5 cup--------------------------- X


X=2.5*7.87=19.675 gr

the answer is 19.675 grams of fat in 2.5 cup of corn
8 0
3 years ago
Read 2 more answers
Mittens, a baby kitten, gained 120 grams of weight in 1/3 of a month. If Mittens kept growing at this rate, how much weight woul
dlinn [17]

Answer:

Step-by-step explanation:

Given

A baby kitten, gained 120 grams of weight in 1/3 of a month.

he gain in 1 month

Solution

1/3 month =120gram weight

1 month =120×3

=360 gram is the answer

6 0
2 years ago
How many times does 13 go into 80
mars1129 [50]
13 x 6 = 78 it cant be multiplied anymore so it can go into 80 about 6 times.
8 0
3 years ago
Read 2 more answers
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