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3 years ago

Graph 3x2 + 3y2 = 75

Mathematics

1 answer:

uranmaximum [27]3 years ago

8 0

Answer:

See attachment

Step-by-step explanation:

The given equation is:

$3x^2+3y^2=75$

We divide through by 3 to obtain;

$x^2+y^2=25$

This is rewritten as:

$x^2+y^2=5^2$

This is the equation of a circle centered at the origin with radius 5 units.

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Find the coordinates using A prime and all that!! I hope you know what I mean please help!!!! ASAPP

Ierofanga [76]

Answer:

See picture for explanation.

Step-by-step explanation:

6 0

3 years ago

Multiply. Express your answer in simplest form. 5/8, 24

musickatia [10]

A number without denominator such is equal to number with denominator 1.
So, 24 is equal to 24/1

5/8 x 24

= 5/8 x 24/1

= (5x24) / (8x1)

= 120/8

= 15

8 0

3 years ago

Read 2 more answers

Which coordinate pairs make the equation x-9y=12 true?

asambeis [7]

Answer:

(12,0) and (3, -1) and (0,-4/3)

Step-by-step explanation:

To find if a point makes an equation true, just substitute its x and y values in in the equation and simplify.

1) Let's test the point (12,0). Substitute 12 for x and 0 for y in the equation:

$x-9y=12\\(12)-9(0)=12\\12-0=12\\12=12$

12 does equal 12, so (12,0) makes the equation true.

2) Let's test the point (0, 12). Substitute 0 for x and 12 for y in the equation:

$x-9y=12\\(0)-9(12) = 12\\0-108 = 12\\-108 = 12$

However, -108 does not equal 12, so (0,12) does not make the equation true.

3) Let's test the point (3, -1). Substitute 3 for x and -1 for y in the equation:

$x-9y=12\\(3)-9(-1) = 12\\3 + 9 = 12\\12 = 12$

12 does equal 12, so (3, -1) makes the equation true.

4) Let's test the point (0, -4/3). Substitute 0 for x and -4/3 for y in the equation:

$(0) -9(-\frac{4}{3} ) = 12\\0 + \frac{36}{3} = 12\\0 + 12 = 12 \\12 = 12$

12 does equal 12, so (0, -4/3) makes the equation true.

8 0

4 years ago

Penelope made note of all the bicycles and cars she could see parked or locked on acertain city block. All the cars had exactly

lesantik [10]

Given:

The number of cycles is, <em>n</em> (s) = 7.

The number of wheels in the cycle is, <em>n </em>(sw) = 2.

The number of cars is, <em>n</em> (c) = 15.

The number of wheels in the car is, <em>n</em> (cw) = 4.

The obective is to find the total number of wheels.

The total number of wheels is,

$\begin{gathered} T=n(sw)\cdot n(s)+n(cw)\cdot n(c) \\ =2\cdot7+4\cdot15 \\ =14+60 \\ =74\text{ whe}els \end{gathered}$

Hence, there are 74 wheels in the block.

If there are <em>x</em> bicycles and <em>y </em>cars, the equatioin will be,

$\begin{gathered} T=n(sw)\cdot x+n(ce)\cdot15 \\ T=2x+4x \end{gathered}$

Hence, the number of wheels for x bicycles and y cars is 2x+4x.

6 0

2 years ago

What is the slope of the line that passes through (-4,6) and (-6,20)

san4es73 [151]

Answer:

<h2>The answer is - 7</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

where

(x1 , y1) and (x2 , y2) are the points

So the slope is

$m = \frac{20 - 6}{ - 6 - - 4} = \frac{14}{ - 6 + 4} = - \frac{14}{2} = - 7 \\$

We have the final answer as

Hope this helps you

6 0

3 years ago