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Alekssandra [29.7K]
3 years ago
13

Please help! How do I solve this ​

Mathematics
1 answer:
Monica [59]3 years ago
8 0

Answer:

(x,y) --> (-1, -3)

Step-by-step explanation:

Solve by elimination...

2x - 3y = 7

4x + y = -7 (times 3; so -3y and 3y cancel out)

2x - 3y = 7

12x + 3y = -21

2x = 7

12x = -21

add together...

14x = -14

x = -1

plug x into one of the original equations and solve for y...

-2 - 3y =7

-3y = 9

y = -3

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It is given that batteries come in a packs of 4. It means in each pack there are 4 batteries.

Joe used 58 batteries . So to find the total number of packets of batteries joe has to open is

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The number of battery can not be in decimal. So we will round the answer to integer. If we round it to 14 it means 14 packets. But in 14 packets there are 14*4 = 56 batteries .

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Is there enough information to prove P is parallel to Q if so state the theorem or postulate?
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Find the equation of the line that passes through point (6, 1) with the x-intercept of 2.
34kurt

<u>Answer:</u>

○ y = \frac{1}{4}x - \frac{1}{2}

<u>Step-by-step explanation:</u>

To find the equation of the line, let's first consider the points whose coordinates we have been given:

• (6, 1)

• (2, 0).

The point (2, 0) is what is called the x-intercept, which is the point where the line crosses the x-axis. This means that at this point, the y-coordinate of the line is 0.

Next, let's calculate the slope (gradient) of the line using the formula:

m = \frac{y_2 - y_1}{x_2 - x_1}

where:

m = gradient,

(x_2, y_2) and (x_1, x_2) = points on the line.

Using the formula:

m = \frac{1 - 0}{6 - 2}

⇒ m =\bf \frac{1}{4}

Finally, now that we have two points on the line as well as the line's slope, we can use the following formula to find the equation of the line:

\boxed{y - y_1 = m(x - x_1)}

You can use any of the points on the line as y_1 and x_1.

Using (2, 0):

y - 0 = \frac{1}{4}( x - 2)

⇒ y = \frac{1}{4}x - \frac{1}{2}

Therefore the equation of the line is y = \frac{1}{4}x - \frac{1}{2}.

Learn more about point-slope form at:

brainly.com/question/15143525

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