5) If Oskar bisects the diameter of a circle, what is he trying to construct?


6) What is the center and radius of a circle with the equation (x - 5)+ (y + 3)2 = 49

Answers

Answer 1

Answer:

Center = (5,-3) and radius = 7

Step-by-step explanation:

(5) If Oskar bisects the diameter of a circle, what is he trying to construct the radius of the circle.

(6) The given equation is :

[tex](x-5)^2+(y+3)^2=49[/tex]

The general equation of circle is given by :

[tex](x-a)^2+(y-b)^2=r^2[/tex] ...(1)

Where

(a,b) are the coordinates of the centre and r is the radius.

The given equation can be written as :

[tex](x-5)^2+(y+3)^2=7^2[/tex] ..(2)

Comparing equation (1) and (2) we get :

a = 5, b = -3 and r = 7

So,

Center = (5,-3) and radius = 7

Hence, this is the required solution.


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The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

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Answer:

i like both of them

Step-by-step explanation:

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Answer:

That is the formula for solving quadratic equations like:

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Which law would you use to simplify the expression (X4)9?
product of powers
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power of a quotient
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Answers

Answer:  You would use D) power of a power because:

(x^4)^9

= (x^(4*(9))

= x^36

Step-by-step explanation:

Answer:

The answer is D. Power of a Power

Hope this helps.

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c. 5, all

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Answer:

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Step-by-step explanation:

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I hope this answer will helps you.

What type of line segment is represented by the dotted line.
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Answers

Answer: Altitude

Step-by-step explanation:

It's an altitude because it creates a 90° angle (perpendicular to the base)

The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure

Answers

Answer:

3. m<GHF= 90 degrees

4. m<DGH= 45 degrees

5. HF=5

6. DE=50

Step-by-step explanation:

3. The measure of angle DGF and EFG are 45 degrees each and 45+45 is 90 degrees. When you subtract 90 from 180, you get 90.

4. A square is also a rectangle and a rectangle has four right angles and it is a rhombus and the diagonals bisect the angles. This means that angle DGH is half of angle DGF and 90/2=45.

5. The diagonals of a square are congruent so it is also 5.

6. You use the Pythagorean Theorem and 5^2 + 5^2=50

The diagonals of square DEFG intersect at H. The measure of the following option; 3. m∠GHF= 90 degrees. 4. m∠DGH= 45 degrees 5. HF=5 6. DE=50

What is the property of a square?

That rectangle whose all sides are equal is called a square.

A square is always a rectangle, parallelogram, a rhombus, and a quadrilateral but its reverse statement may or may not be true.

(ie it is not always necessary that a rectangle is a square or a parallelogram is a square or a rhombus is a square).

The diagonals of square DEFG intersect at H.

Given that EH = 5, we need to find the measure of the following option;

3. The measure of ∠DGF and ∠EFG are 45 degrees each .

The sum of the angle of the bisector of diagonal 45 + 45 = 90 degrees.

When you subtract 90 from 180, you get 90.

4. A square is also a rectangle and a rectangle has four right angles and it is a rhombus and the diagonals bisect the angles.

This means that ∠DGH is half of ∠DGF

90/2 = 45.

5. The diagonals of a square are congruent so HF is 5.

6. By Pythagorean Theorem

[tex]DF^2 = 5^2 + 5^2\\\\DF = \sqrt{50}[/tex]

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(2) Explain how the product of 3 and 65 could be used to find (0.03) - (0.65).*

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Explain how 3 * 65 could be used for (0.03) * (0.65)

0.03 is to 2 decimal places and 0.65 is also to 2 decimal places

In total, we have: [tex]2 + 2 = 4[/tex]

So, to get (0.03) * (0.65) from 3 * 65.

Simply calculate the product: 3 * 65

Then divide by 10 to the power of the sum of the decimal places i.e. 4

This is shown below

(0.03) * (0.65)

Express as fraction

[tex](0.03) * (0.65) = \frac{3}{100} * \frac{65}{100}[/tex]

[tex](0.03) * (0.65) = \frac{3*65}{100*100}[/tex]

[tex](0.03) * (0.65) = \frac{3*65}{10^2*10^2}[/tex]

[tex](0.03) * (0.65) = \frac{3*65}{10^4}[/tex]

How many gallons each of 20​% alcohol and 10​% alcohol should be mixed to obtain 10gal of 11​% ​alcohol?

Answers

Answer:

20​% alcohol = 1 gal

10​% alcohol = 9 gal

Step-by-step explanation:

Let

x = 20​% alcohol

y = 10​% alcohol

x + y = 10 (1)

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From (1)

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Answers

Answer:

to find the intercepts, look for the point where the axes and the line intersect.

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

$86.16

Step-by-step explanation:

82.09+4.07=86.16

Answer:

The original price was $86.16

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

Answer:

46

Step-by-step explanation:

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The simplified value of the expression  6 + 4 × {3 + 7} is 100.

What is PEMDAS rule?

PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.

Given, An expression 6 + 4 × {3 + 7}.

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Max's Market sells 6 eggs for £1.98.
Groceries Galore sells 8 eggs for £2.48.
Fancy Foodstuffs sells 12 eggs for £3.84.
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Answers

Max=0.36 per egg

galore=0.34 per egg

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Answer:

Max's Market.

Step-by-step explanation:

Max's Market:

£1.98 x 6 =  £11.96

Groceries Galore:

£2.48 x 8 = £19.84

Fancy Foodstuffs

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What is the distance points between the points 5,9 and 5,13?

Answers

Answer:

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Step-by-step explanation:

Kayla and her children went into a restaurant and she bought $63 worth of hotdogs and tacos. Each hotdog costs $3.50 and each taco costs $4. She bought 3 more hotdogs than tacos. Write a system of equations that could be used to determine the number of hotdogs and the number of tacos that Kayla bought. Define the variables that you use to write the system.

Answers

Answer:

x= hotdogs

y=tacos

Step-by-step explanation:

(3.50)x+ 3x + 4y= 63

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