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worty [1.4K]
3 years ago
6

Find the value of y so that the line passing through the points (2,5) and (7,y) has a slope of 2/3

Mathematics
1 answer:
valkas [14]3 years ago
5 0
Well we know Slope Intercept Form is change in y over change in x. So y-5/7-2. So we need a slope of 2/3 we have y-5/5. So know we need to make both fractions equivalent so 2/3=10/15 and y-5/5=y-5/15. Now we know that y-5 has to equal 10 so what subtracted by 5 is 10 yup 15.

Answer: y=15

15-5/15
10/15
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horsena [70]

Answer:

14 + j = 28

Step-by-step explanation:

I hope this helps :)

4 0
3 years ago
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If f(x) = x 2 + 1, find f(a + 1). a 2+ 2 a + 2 a 2 + 2 a 2+ a + 1
goblinko [34]

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Step-by-step explanation:

5 0
3 years ago
Trina planted plants in her garden last week. She planted twice as many cucumbers as zucchini and eight more tomatoes than cucum
maxonik [38]

Answer:

7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.

Step-by-step explanation:

  • Let the number of tomatoes=t
  • Let the number of cucumber planted=c
  • Let the number of zucchini planted=z
  • Total Number of Plants=43

She planted twice as many cucumbers as zucchini, this is written as:

  • c=2z

She also planted eight more tomatoes than cucumbers, this is written as:

  • t=c+8=2z+8

In total, she planted 43 plants

Therefore:

z+(2z)+(2z+8)=43

5z+8=43

5z=43-8

5z=35

Divide both sides by 5

z=7

Number of Cucumbers, c=2z=2 X 7 =14

Number of Tomatoes, t=c+8=14+8=22

Therefore, she planted 7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.

3 0
3 years ago
Determine the center and radius of the following circle equation:
-BARSIC- [3]

Answer:

(6, 9 ) and r = 3

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

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x² + y² - 12x - 18y + 108 = 0

Rearrange the x- terms and the y- terms together and subtract 108 from both sides, that is

x² - 12x + y² - 18y = - 108

To obtain standard form use the method of completing the square

add ( half the coefficient of the x and y terms )² to both sides

x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81

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with centre = (6, 9 ) and r = \sqrt{9} = 3

7 0
3 years ago
Values greater then 1653
krek1111 [17]

Answer:

1654,1655,1656,1657,1658,1659,1660

Step-by-step explanation:

They all come after the value of 1653

7 0
3 years ago
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