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nekit [7.7K]
3 years ago
8

Find the x- and y-intercept of the line. -7/5x -4y = 7

Mathematics
1 answer:
rosijanka [135]3 years ago
6 0
First, isolate the variables to either side.

4y = -7/5x -7

Second, simplify in terms of y.

y = -7/20x - 7/4

Third, plug 0 in for y to find the y intercept and factor the x side to make it simple. Then, find the value that makes the x-factor zero.

0 = (-7/4)(1/5x +1)

1/5x + 1 = 0

1/5x = -1

x = -5

The x-intercept is (-5,0)

Fourth, plug zero in for x to find the y-intercept.

y = -7/20*(0) -7/4

y = -7/4

Therefore, the y-intercept is (0,-7/4) and the x-intercept is (-5,0).

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Properties can help you divide because if you didn't follow them we would have incorrect answers and would be very held back in science and mathematics
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2 years ago
In my number the digit in the ones place is double the digit in the tens place. the sum of the digits is 3
jasenka [17]
The number is 21 because 2 is 1 doubled, and 2+1 is 3.
6 0
3 years ago
A store has a 25\%25% off sale on coats. With this discount, the price of one coat is \$34.50$34.50. What is the original price
timama [110]

Answer:

$46

Step-by-step explanation:

A percent is a portion of 100. If  we receive 25% off then we pay 75% of the price. 100%-25%=75%. $34.50 is 75% of the original price. We find the new price through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $.

\frac{75}{100} =\frac{34.50}{y}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

75y=100(34.50)\\75y=3450

I now solve for y by dividing by 75.

\frac{75y}{75} =\frac{3450}{75} \\y= 46....

The original price was $46.


5 0
3 years ago
Two friends are biking. Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour The table sh
Alinara [238K]

The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.

<h3>What is speed?</h3>

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour. If she biked for x hours:

Distance covered = 12 mph * x = 12x miles

The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.

Find out more on speed at: brainly.com/question/4931057

7 0
2 years ago
Write the equation in standard form for the circle with center (-7,0) and radius 3√3.
mario62 [17]

Answer: (x +7)^2 + y^2 = 27

Step-by-step explanation:

The standard form of a circle is written as such:

(x - h)^2 + (y - k)^2 = r^2

Where (h, k) is the center of the circle, and r is the radius.

We know that the center is (-7, 0), so we can plug that into the equation like this: (x +7)^2 + y^2 = r^2

The radius is 3 * the square root of 3. To square this, we can multiply 3 squared and the square root of 3 squared:

3^2 * \sqrt{3} ^2 = 9 * 3

So, your standard form equation is the following:

(x +7)^2 + y^2 = 27

6 0
3 years ago
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