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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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A circle in the xy plane has a center at (3/4, 1/2)
Leokris [45]

Answer:

(x - 3/4)^2 + (y - 1/2)^2 = r^2

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Step-by-step explanation:

Equation of a circle: (x - h)^2 + (y - k)^2 = r^2

(x - 3/4)^2 + (y - 1/2)^2 = r^2

We do not have enough information to find the radius. Were you given another point that lies on the circle?

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3 years ago
Starks sculpture 30 cubed is a cube with sides 30 inches long. Whats its volume​
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Answer: 27000\text{ cubic inches}

Step-by-step explanation:

Given : Starks sculpture 30 cubed is a cube with sides 30 inches long.

We know that the volume of a cube is given by :-

\text{Volume}=(side)^3

Then , the volume of Starks sculpture 30 cubed will be :

\text{Volume}=(30)^3\text{ cubic inches}

\text{Volume}=30\times30\times30\text{ cubic inches}

\text{Volume}=27000\text{ cubic inches}

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3 years ago
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Step-by-step explanation:

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The sum of 33 consecutive even numbers is 78. What is the second number in this sequence?
hjlf

Answer: The second number is 26


Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. Let's call:

x: The first even number.

x+2: the second consecutive even number.

x+4: the third consecutive even number.

2. So, you know that the sum ot the 3 consecutive numbers is 78, therefore, you must add them, as you can see below:

x+(x+2)+(x+4)=78\\3x+6=78\\3x=78-6\\3x=72\\x=\frac{72}{3}\\x=24

3. Substitute the value obtain into x+2. Therefore, the second number is:

x+2=24+2=26


3 0
3 years ago
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