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Temka [501]
2 years ago
12

Find the coordinates of the point where the line

x+7\\" alt="y=5x+7\\" align="absmiddle" class="latex-formula"> crosses the y axis
Mathematics
1 answer:
Anvisha [2.4K]2 years ago
7 0

Answer:

(0, 7)

Step-by-step explanation:

The point that crosses the y-axis is called the y-intercept of the line.

We are given an equation of the line and we need to determine the y-intercept. This can be done by determining the constant in the equation.

What are constants?

Constants are such terms that include only numbers. There should be no variables in constants.

<u>We know that:</u>

     \bullet \ \text{Given equation of line: y = 5x + 7}

The constant we can see in the equation is "7". Therefore, the y-intercept is 7.

Note: The y-intercept of the line must have an x-coordinate of 0.

<u>Therefore,</u>

⇒ Coordinates of y-intercept: (x, y) ==> (0, 7).

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Consider a circle with radius 5 and another circle with radius 3. Let d represent the distance between the two centers.We want t
ElenaW [278]

Answer:

If d<2, there is no intersection

If d=2, there is one intersection

If 2<d<8, there are two intersections

If d=8, there is one intersection

if d>8, there is no intersection

Step-by-step explanation:

If d<2 (the difference between both radius is 2), the little circle is inside the big one. Thus there is no intersection.

If d=2, the little circle is inside but tangent to the big one. There is one intersection then.

If 2<d<8, there are two intersections since the little circle has a portion outside the big one, and another portion inside.

If d=8, the little circle is tangent to the big one from outside. There is one intersection then.

if d>8, the little circle is completely exterior to the big one. Thus, there is no intersection.

Please find attached the figure for d = 10. The big circle is centered and the other is offset by 10.

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3 years ago
Calculate the diameter of Circle J if the circumference is 100.48<br> centimeters
Svet_ta [14]

Answer:

its 100.43 centimeters

Step-by-step explanation:

5 0
3 years ago
If the fuel tank in Jim's car holds 14 gallons of fuel, define a formula to determine the number of gallons of fuel in Jim's fue
salantis [7]

Considering that the car does 50 miles per gallon, the linear function for the number of gallons of fuel in Jim's fuel tank, n, in terms of the number of miles x that Jim has driven since filling his tank is given by:

y = -0.02x + 14

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • Jim's car holds 14 gallons of fuel, hence b = 14.
  • Considering it does 50 miles per gallon, and the amount in the tank will decrease, the slope is m = -\frac{1}{50} = -0.02.

Hence, the function is:

y = -0.02x + 14

You can learn more about linear functions at brainly.com/question/25898120

5 0
2 years ago
What the word form 485,830
Anastasy [175]

the word form of 485,830 is Four hundred eighty-five thousand eighty hundred thirty
7 0
3 years ago
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Ye has his own business. He checks his sales receipts three times a day, his afternoon sales were 50$ more than his mourning sal
IRINA_888 [86]

Answer:

The answer is 150

Step-by-step explanation:

It's 150 because ye evening sales are three times of his afternoon sales.

SO that means you have to times 50x3=150 or you can add 50+50+50=150. there is your answer.

3 0
3 years ago
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