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2 years ago

write an equation in point slope form of the line that passes through the point (-8,-2) and had a slope of m=5

Mathematics

1 answer:

Ede4ka [16]2 years ago

3 0

Answer:

5x - y + 38 = 0

Step-by-step explanation:

solution:

slope(m) = 5

(x1 , y1) = (-8 , -2)

we know that,

(y - y1) = m(x -x1)

or, (y - -2) = 5(x - -8)

or, y+2 = 5(x + 8)

or, y+2 = 5x +40

or, 5x - y + 38 = 0 is the required equation

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solve for x and y ,32base x+51base y and 23base x +42 base y =710. ,number bases interms of simultaneous equation

In-s [12.5K]

Answer:

Step-by-step explanation:

32base x means $3x + 2$

Similarly, 32base x+51base y equals to $3x + 2 + 5y + 1 = 3x + 5y + 3$

and 23base x +42 base y means $2x + 3 + 4y + 2 = 2x + 4y + 5$

As per the given condition, $3x + 5y + 3 = 2x + 4y + 5\\x + y = 2$

Putting, $y = 2 - x$ in $2x + 4y + 5 = 710$ , we get

$2x + 4y = 705\\2x + 4(2 - x) = 705\\8 - 2x = 705\\4 - x = 352.5\\x = -348.5$

$y = 2 - x = 2 - (-348.5) = 2 + 348.5 = 350.5$

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3 years ago

In right-angled ∆ ABC, ∟B=90⁰. ∆ ABC is in the first and second quadrant on the graph paper. The coordinates of the points A and

Musya8 [376]

Answer:

The given coordinates of the points A and C of the right triangle ABC are (2, 5) and (-2, 3) respectively

The possible pairs of the coordinates of the point B are found as follows;

1) Draw a horizontal line from the point C to the right and a vertical line down from the point A to get the point B at (2, 3) which is the point of the perpendicular intersection of the two constructed lines above

2) Draw a vertical line from the point C upwards and a horizontal line to the left from the point A to get the point B at (-2, 5) which is the point of the perpendicular intersection of the two newly constructed lines here

Step-by-step explanation:

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3 years ago

The probability of a certain brand of battery going dead within 15 hours is. Noah has atoy that requires 4 of these batteries. H

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Question:

The probability of a certain brand of battery going dead within 15 hours is 1/3. Noah has a toy that requires 4 of these batteries. He wants to estimate the probability that at least one battery will die before 15 hours are up.1.Noah will simulate the situation by putting marbles in a bag. Drawing one marble from the bag will represent the outcome of one of the batteries in the toy after 15 hours. Red marbles represent a battery that dies before 15 hours are up, and green marbles represent a battery that lasts longer.How many marbles of each color should he put in the bag? Explain your reasoning.

Answer:

The number of marbles of each color that should be present in the bag is;

1 red marble and 2 green marbles

Step-by-step explanation:

Here, we note that the probability of a battery going dead = 1/3 and the

Therefore if the red marbles represent that a battery dies before 15 hours then the probability of picking the red marble should be 1/3. That is if there is only one red marble in the bag, the probability of picking the red will be 1/3 when there are other 2 green batteries in the bag

That is there should be 1 red marble and 2 green marble in the bag.

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