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Dvinal [7]
3 years ago
5

Write an equation perpendicular to 5x+6y=18 that passes through the point (10,7)

Mathematics
1 answer:
JulsSmile [24]3 years ago
6 0

Answer:

Step-by-step explanation:

6y = -5x + 18

y = -5/6x + 3

perp slope: 6/5

y - 7 = 6/5(x - 10)

y - 7 = 6/5x - 12

y = 6/5x - 5

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Factor completely 18x2 − 21x −15. 3(2x 1)(3x − 5) 3(2x − 5)(3x 1) 3(2x − 1)(3x 5) 3(6x 1)(x − 5).
sergeinik [125]

The factor of the 18x^{2} -21x-15 will be 3(3x-5)(2x+1).

<h3>What will be the factor of  18x^{2} -21x-15 ?</h3>

Given quadratic equation is 18x^{2} -21x-15

By taking 3 common from whole of the equation it becomes.

3(6x^{2} -7x-5)

now by factorization equation will be.

3(6x^{2} -10x+3x-5)

3[(2x(3x-5)+1(3x-5)]

Taking (3x-5) common from whole equation it will become

3(3x-5)(2x+1).

Hence the factor of the 18x^{2} -21x-15 will be 3(3x-5)(2x+1).

To know more about factorization follow.

brainly.com/question/25829061

3 0
2 years ago
Mikey walked 1/3 of her journey, travelled 4/9 of it by car and ran the rest. Calculate the fraction
yanalaym [24]

Answer:

she ran 2/9 of her journey

Step-by-step explanation:

x-1/3x-4/9x=9/9x-7/9x=2/9x

3 0
2 years ago
Estimate. Then find the difference 300,980 -159,000
Softa [21]

Answer:

142,000

Step-by-step explanation:

I would round 300,980 to the nearest thousands place = 301,000

Subtract 301,000 and 159,000 = 142,000

4 0
3 years ago
If three out of five students eat school lunch then how many students would be expected to eat school lunch at a school with 750
aleksklad [387]
750÷3 =
250 students

4 0
3 years ago
Read 2 more answers
A plane flew 525 miles in 1.75 hours. Find the average speed of the plane.
ale4655 [162]

We are trying to find the average speed of the plane, which is mph, or \dfrac{\textrm{miles}}{\textrm{hour}}. Using proportions, we can find the average speed of the plane in mph:

\dfrac{525 \,\, \textrm{miles}}{1.75 \,\,\textrm{hours}} = \dfrac{x \,\, \textrm{miles}}{1 \,\,\textrm{hour}}

  • Use the information from the problem to create a proportion. Remember that we are looking for mph, so we will call that x.

\dfrac{525}{1.75} \,\textrm{miles} = x \,\textrm{miles}

  • Multiply the entire equation by 1 \,\textrm{hour}

\dfrac{525}{1.75} = 300 = x

  • Divide both sides of the equation by 1 \,\textrm{mile} to clear both sides of the mile unit

The average speed of the plane is 300 mph.

6 0
3 years ago
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