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seropon [69]
3 years ago
5

Which line is parallel to y=2/3x+1 and passes through the point (1, 1)? a) y=2/3(x-1) b) y-1=-3/2(x-1) c) y-1=2/3(x-1) d) y=-3/2

x-1
Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

Equation of original line is y = ⅔x + 1

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

So the equation of the line using point

( 1,1) and slope 2/3 is

<h2>y - 1 =  \frac{2}{3} (x - 1)</h2>

Hope this helps you

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HCF of 405 and 1605 answer it fast
Rashid [163]

Answer:

hcf=(1,605; 600) = 3 × 5

Step-by-step explanation:

Prime Factorization of a number: finding the prime numbers that multiply together to make that number.

1,605 = 3 × 5 × 107;

1,605 is not a prime, is a composite number;

600 = 23 × 3 × 52;

600 is not a prime, is a composite number;

* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.

* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.

Multiply all the common prime factors, by the lowest exponents (if any).

gcf, hcf, gcd (1,605; 600) = 3 × 5

gcf, hcf, gcd (1,605; 600) = 3 × 5 = 15;

The numbers have common prime factors.

Must mark brainliest for more answers.

And you should friend me.

7 0
3 years ago
A line segment of length k is divided into 3 equal parts what is the distance between midpoints of the first and third segments
anastassius [24]

Line segment of length k is divided into 3 equal parts.

so first segment is 0-k/3 and third segment is 2/3k-k

so mid-pt of 1st = k/6 and 3rd = 5/6k

so the distance in between = 5/6k-k/6 = 4/6k = 2/3k

4 0
3 years ago
What is the product? Enter your answer as a fraction, in simplified form, in the box. −1/4⋅(−6/11)
ivann1987 [24]

Answer:

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Step-by-step explanation:

-1/4 . (-6/11)

  • You have to multiply the signs: As both are negative, the result will be positive.
  • You have to multiply the numbers in the top part (numerators) and the numbers in the bottom part (denominators)

1 . 6 / 4 . 11 = 6/44

  • Finally, you must simplify the answer by dividing both numbers among the same divisor, in this case the number is 2

6÷2 / 44÷2 = 3/22

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3 years ago
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Step-by-step explanation:

it's explained in the solution

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Give the radian measure of an angle drawn in standard position that corresponds with the ray containing the coordinate point (−1
Sergeu [11.5K]

Answer:

The radian measure of the angle drawn in standard position that corresponds with the ray containing the coordinate point (-12, -3\sqrt{2}) is approximately 1.108\pi radians.

Step-by-step explanation:

With respect to origin, the coordinate point belongs to the third quadrant, which comprises the family of angles from \pi\,rad to \frac{3\pi}{2}\,rad. The angle in standard position can be estimated by using the following equivalence:

\theta = \pi\,rad + \tan^{-1} \left(\frac{3\sqrt{2}}{12} \right)

\theta \approx \pi \,rad + 0.108\pi \,rad

\theta \approx 1.108\pi\,rad

The radian measure of the angle drawn in standard position that corresponds with the ray containing the coordinate point (-12, -3\sqrt{2}) is approximately 1.108\pi radians.

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