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2 years ago

The distance in the x-coordinates from A(–2, 2) to the center of dilation F(1, 1) is unit(s).

Mathematics

1 answer:

lilavasa [31]2 years ago

5 0

Answer:

The distance in the x-coordinates from A(–2, 2) to the center of dilation F(1, 1) is 3 unit(s)

Step-by-step explanation:

Give points:

$A(-2,2)$

Center of dilation $F(1,1)$

The distance in the x-coordinates fro $A$ to $F$ can be given by $=\ |x_2-x_1\ |=\ |1-(-2)\ |=\ |1+2\ | = 3\ units.$

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Kevin wants to purchase a new car that costs $10,000. Every week he saves up $250. It has been 30 weeks. How much money does he

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Kevin has $7,500 after 30 weeks. He does not have enough money for the car.

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3 years ago

What is the product of –5 and –8? –40 –13 13 40

AURORKA [14]

Answer:

Step-by-step explanation:

The answer is 40 because:

1) First, we need to know that:

negative x negative = positive

negative x positive = negative

positive x negative = negative

positive x positive = positive

2) Therefore, -8 x -5 equals to a positive 40

Hope this helps!

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3 years ago

Read 2 more answers

A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

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

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

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2 years ago

Mrs. Rivera has bars of chocolate in a box. The total mass of bars of chocolate in the box is 3 kilograms. What is the mass in g

sergeinik [125]

Answer:The chocolate in the box is 3000 grams.

Every Kilogram has 1000 grams

You multiply 1000×3=3000

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3 years ago

What Is the answer to 1/6 + 2/3

arlik [135]

Answer:

5/6

Step-by-step explanation:

When adding fractions, you must ensure the denominator is the same in both fractions.

In this case, the 3 can be multiplied by 2 to equal 6, the other denominator.

When multiplying fractions to create a common denominator, you must multiply the both the numerator and the denominator by the same value, to ensure that the fraction is still equivalent.

2/3 × 2/2 = (2×2)/(3×2) = 4/6

Replace 2/3 with its equivalent 4/6.

Now you will add the numerators together.

1/6 + 4/6 = (1+4)/6 = 5/6

Your final answer is 5/6

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2 years ago

Read 2 more answers