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3 years ago

Find the y-intercept of a line parallel to 8x – 2y = 12 and passes through the point (5, 3).

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

7 0

Answer:

-17

Step-by-step explanation:

8x -2y= 12

Divide the whole equation by 2:

4x -y= 6

Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).

-y= -4x +6

y= 4x -6

Thus, gradient of given line= 4.

Since parallel lines have the same gradient, gradient of line= 4.

y= 4x +c

To find the y-intercept of the lone, substitute a pair of coordinates.

When x=5, y=3,

3= 4(5) +c

3= 20 +c

c= 3 -20

c= -17

Thus, the y-intercept of the line is -17.

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Given Situation:
=> There are 408 total of ticket sold for a school play
=> 3 times of the tickets are sold to students compare to the adults
=> So the ratio of the given situation is 1 : 3
=> Now, 1 + 3 = 4
Since, we need 4 parts, let’s divide 408 by 4
=> 408 / 4 = 102 – the number of tickets for adults
=> 102 x 3 = 306 – the number of tickets for students
=> 102 : 306

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3 years ago

Phil answered 35% of the questions correctly. If he answered 100 questions correctly, what was the total number of questions on

Sladkaya [172]

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4 years ago

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A drawer contains 3 white balls and 6 black balls. Two balls are drawn out of the box at random. What is the probability that th

Rus_ich [418]

Answer: Probability = 44%

Step-by-step explanation:

To find the probability of finding 2 black balls in a row, we first need to find the probability of finding 1 black ball at a time.

To do that, we need to divide the amount of total black balls by the number of total balls.

Black balls = 6

Total balls = 3 + 6 = 9

6 divided by 9 = 0.(6)

If you multiply 0,(6) by 100%, it will give you 66% (rounded) of getting a black ball.

Now, to find the chances of getting 2 black balls in a row, we need to multiply $\frac{6}{9}$ by $\frac{6}{9}$ . What we are doing is squaring the chances of getting one black ball, by the number of times we want to get it.

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2 years ago

The side lengths 10, 14, and 15 form a triangle. Explain why.

sertanlavr [38]

Answer:

Therefore, the side lengths 10, 14, and 15 form a triangle.

Step-by-step explanation:

The Triangle Inequality Theorem defines that if we are given the three sides of a triangle, then the sum of any 2 sides of a triangle must be greater than the measure of the third side of the triangle.

The three conditions that need to be met for any triangle with the side lengths A, B, and C.

$A + B > C$

$B + C > A$

$A + C > B$

Given the side lengths of a triangle

Let us check whether it satisfies the three conditions.

10+15 > 14 → TRUE

10+14 > 15 → TRUE

14+15 > 10 → TRUE

As all the conditions are met. Therefore, the side lengths 10, 14, and 15 form a triangle.

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3 years ago

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