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2 years ago

What value correctly fills in the blank so that the expressions are equivalent?

Mathematics

2 answers:

aleksley [76]2 years ago

8 0

Answer:

Step-by-step explanation:

32 + 72 = 13x

104 = 13x

x = 8

Novay_Z [31]2 years ago

8 0

Answer:

Step-by-step explanation:

32+72=x(4+9)

32+72=x(13)

104=13x

x=8

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dolphi86 [110]

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3 years ago

Which of the equations below represents

Ray Of Light [21]

The equation that represents the graph of the ellipse is x² / 4 + y² / 100 = 1. (Correct choice: D)

<h3>What is the equation of the ellipse represented in the graph?</h3>

Herein we have a representation of an ellipse in the image attached aside, ellipses are characterized by the following standard formula:

(x - h)² / a² + (y - k)² / b² = 1 (1)

Where:

(h, k) - Coordinates of the center
a, b - Lengths of the semiaxes

Please notice that ellipse will be vertical if b > a, otherwise it will be horizontal. The graph exhibits a vertical ellipse centered at the origin and therefore we conclude that (h, k) = (0, 0) and b > a (b = 10, a = 2). Finally, the equation that represents the graph of the ellipse is x² / 4 + y² / 100 = 1. (Correct choice: D)

To learn more on ellipses: brainly.com/question/14281133

#SPJ1

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1 year ago

Jerry plays tennis once every 6 days.Sam plays tennis every 10 days and Leo comes once every 12 days.Thus Monday all of them pla

drek231 [11]

Answer:

Friday

Step-by-step explanation:

Given

Jerry = Every 6 days.

Sam = Every 10 days

Leo = Every 12 days.

Required.

If they meet on Monday, when next (day) will they meet

First, we need to get the multiple of 6, 10 and 12.

6 => 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72......

10 => 10, 20, 30, 40, 50, 60, 70, 80.....

12=> 12, 24, 36, 48, 6o, 72, 84, 96......

The common factor between the multiples of 6, 10 and 12 is 60.

This represents the LCM.

It implies that they'll meet on the 60th day after their last meeting on Monday.

To get the day, follow the steps below.

Since there are 7 days a week

So, there are 60/7 weeks in 60 days

60/7 = 8 weeks 4 days

Recall that the last day they met was a Monday.

Hence, there next meeting will be 4 days after Monday.

4 days after Monday = Friday

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2 years ago

Use the zero product property to find the solutions to the equation x2 – 13x + 30 = 0.

alukav5142 [94]

Answer:

The solutions to this quadratic equation are 10 and 3.

Step-by-step explanation:

1. Let's recall the formula for solving this type of equations, called quadratic equations:

x = ( - b +/- √ b² - 4ac)/ 2a

The equation given is x2 – 13x + 30 = 0,

where a = 1, b = - 13 and c = 30

Now replacing with the real values, we have

x = [ - (-13) +/- √ (-13)² - 4 * 1 * 30] / 2 * 1

x = [ 13 +/- √ 169 - 120] / 2

x = [13 +/- √ 49]/ 2

x = [ 13 +/- 7 ]/ 2

x₁ = 13 + 7/2 = 20/2 = 10

x₂ = 13 - 7/2 = 6/2 = 3

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2 years ago

√7 is between what two consecutive integers?

bulgar [2K]

Answer: √7 is between 2 and 3

Step-by-step explanation:

The next lower number that is a perfect square is 4, the next higher perfect square is 9. Take the roots of those two numbers to find the integers you are looking for.

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2 years ago