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2 years ago

What is the ratio of red to blue squares in its simplest form? 14 red 4 blue

Mathematics

1 answer:

zlopas [31]2 years ago

5 0

Simplest Form: $7 : 2$

How to Simplify a Ratio A : B when A and B are both whole numbers:

List the factors of A
List the factors of B
Find the greatest common factor of A and B, GCF(A, B)
Divide A and B each by the GCF
Use the whole number results to rewrite the ratio in simplest form

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 14 and 4 is 2

Divide both terms by the GCF, 2:

14 ÷ 2 = 7

4 ÷ 2 = 2

The ratio 14 : 4 can be reduced to lowest terms by dividing both terms by the GCF = 2 :

14 : 4 = 7 : 2

Therefore:

14 : 4 = 7 : 2

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Find the equation of a circle with a center at (0, -4) and a point on the circle is (6, 0).

EastWind [94]

Answer:

$x^2 + ( y + 4)^2 = 52$

Step-by-step explanation:

Equation of circle with center (a , b) and radius, r is :

$(x -a)^2 + ( y -b)^2 = r^2$

Given : a = 0 , b = - 4

Step 1 : Find the radius.

Given ( 6 , 0 ) lies on the circle. Therefore the distance between the center (0 , - 4) of the circle and ( 6 , 0 ) gives the radius of the circle.

$r = \sqrt{( 0 - 6)^2 + ( -4 - 0)^2} \\\\$

$= \sqrt{ 36 + 16 } \\\\= \sqrt{52}$

Step 2 : Equation of circle.

$(x - 0)^2 + (y -( - 4))^2 = (\sqrt{52})^2\\\\x^2 + ( y+ 4)^2 = 52$

8 0

2 years ago

H = {(2, 5), (3, 5), (4, 5), (5, 5), (6, 5)} Is H a function and why?.

mixer [17]

Answer:

Yes, each x-value has a unique y-value.

Step-by-step explanation:

This is a function because each x-value has its own y-value. If this is not the case then it is not a function, because then, two points with the same x-value and different y-values would fail the VLT.

Your graph does not have overlaps and each x-value has a unique y-value

VLT

The vertical line test (VLT) is a simple method that mathematicians made because they were lazy to make a table of values and find duplicates.

Passing the VLT means that if you drew a vertical line anywhere on the graph, it would only go through one point.
Failing the VLT would mean that the vertical line

A quick way to check if it is a function is by looking for duplicates of x-values and check that the duplicates have the same y-value.

-Chetan K

Images/Examples

6 0

1 year ago

What would the graph of the solution to the following inequality look like?

yan [13]

Answer: A. An OPEN circle on the number 5 and an arrow shading to the RIGHT.

6 0

2 years ago

Cos^2 2x−cos^2 6x=sin4x sin8x please help me prove it

Olin [163]

Cos² 2x = (1+cos 4x )/2
cos² 6x = (1+cos 12x)/2
subtract to get 1/2 (cos 4x - cos 12x )
= 1/2 (2 sin 4x sin 8x ) as cos A - cos B = 2 [ sin (A+B)/2 sin (A-B)/2 ]
so the answer

4 0

2 years ago

Match the volume of a prism to the correct dimensions of a rectangular prism

Zina [86]

Answer:

3 ft, 3ft, 5ft => 45 cubic feet

6 ft, 2 ft, 4 ft => 48 cubic feet

7 ft, 2 ft, 2 ft => 28 cubic feet

6 ft, 5 ft, 2 ft => 60 cubic feet

Step-by-step explanation:

Recall: formula for volume of a rectangular prism is given as, V = L × W × H

✔️Volume of rectangular prism with the following dimensions:

L = 3 ft

W = 3 ft

H = 5 ft

V = 3 × 3 × 5

V = 45 cubic feet

✔️Volume of rectangular prism with the following dimensions:

L = 6 ft

W = 2 ft

H = 4 ft

V = 6 × 2 × 4

V = 48 cubic feet

✔️Volume of rectangular prism with the following dimensions:

L = 7 ft

W = 2 ft

H = 2 ft

V = 7 × 2 × 2

V = 28 cubic feet

✔️Volume of rectangular prism with the following dimensions:

L = 6 ft

W = 5 ft

H = 2 ft

V = 6 × 5 × 2

V = 60 cubic feet

6 0

2 years ago