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KIM [24]
3 years ago
15

What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5?

Mathematics
2 answers:
Marianna [84]3 years ago
6 0

Answer:

Second option is correct. The x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5 is -2.

Step-by-step explanation:

From the given graph  it is noticed that the endpoints of the line segment JK are J(-6,-2) and K(8,-9).

The formula to find x intercept.

x=\frac{m}{m+n}(x_2-x_1)+x_1

The ratio is 2:5, therefore the value of m is 2 and the value of n is 5.

x=\frac{2}{2+5}(8-(-6))+(-6)

x=\frac{2}{7}(14)-6

x=4-6

x=-2

Therefore the x-coordinate is -2 and second option is correct.

VLD [36.1K]3 years ago
5 0

Answer:

-2

Step-by-step explanation:

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The area of a right triangle is given by the expression:
lorasvet [3.4K]

The expression that models the length of the second leg of the triangle is <u>2x - 3.</u>

<u><em>Recall</em></u>:

The area of a triangle = \frac{1}{2} bh

<em><u>Given</u></em>:

Area of triangle = \frac{1}{2} (6x^2 - 7x - 3)

Length of one of the legs = 3x + 1

Therefore, it means that multiplying both legs should give us:

6x^2 - 7x - 3

To find the expression that models the other leg, divide 6x^2 - 7x - 3 by 3x + 1:

  • <em>Thus</em>:

\frac{6x^2 - 7x - 3}{3x - 1}

  • Factorize the numerator

\frac{6x^2 - 2x - 9x - 3}{3x - 1}\\\\\frac{2x(3x - 1) - 3(3x - 1)}{3x - 1}\\\\\frac{(2x- 3)(3x - 1)}{3x - 1}

  • Simplify

\frac{(2x- 3)(3x - 1)}{3x - 1} = 2x- 3

Therefore, the expression that models the length of the second leg of the triangle is <u>2x - 3.</u>

<u></u>

<u></u>

Learn more here:

brainly.com/question/20712284

6 0
2 years ago
Explain how finding 4 x 384 can help you find 4 x 5384
lana [24]
Because you can do the math of 4 times 5000 in your head *20,000* and then add what you got when you multiplied 4 × 384
4 0
3 years ago
Three times a number is the same as 28 more than 6 times the number. Find the number. If n is "the number," which equation could
STALIN [3.7K]
OK. Let's build this thing brick by brick,
one step at a time:

The number. . . . . . . . . . . . . . . . . . . . . . . N
==> Three times the number . . . . . . . . 3N
6 times the number. . . . . . . . . . . . . . . . 6N
==> 28 more than 6 times the number . 6N + 28

You said the three times the number is the same
as 28 more than 6 times the number.
So I can write

3N = 6N + 28

That's the equation.
Subtract 3N from each side: 0 = 3N + 28

Now subtract 28 from each side: -28 = 3N

Now divide each side by 3 : N = - 28/3 .

That number is kind of weird, but it's the ONLY number
that behaves according to the description in the question.

Three times the number . . . . . -28
6 times the number . . . . . . . . . -56

-28 is 28 more than -56. yay!
5 0
3 years ago
What is 2/10 +1/100 =
Murljashka [212]

Answer: 0.21

Step-by-step explanation:

2/10=0.2

1/100=0.01

0.2+0.01=0.21

5 0
3 years ago
Read 2 more answers
Not sure how to work this one out please help :)
stepladder [879]

Answer:

147.03 cm²

Step-by-step explanation:

Area of a parallelogram:

A = bh

A - area

b - base

h - height

From the figure,

Base = 16.9 cm

Height = 8.7 cm

A = (16.9)(8.7)

A = 147.03 cm²

4 0
3 years ago
Read 2 more answers
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