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3 years ago

8

jaime graphed the quadratic function y=-2x-12x+3. the equation of the line of symmetry of the function is x=-3. what is the vert

ex of the function

1 answer:

Zinaida [17]3 years ago

6 0

The vertex is at (-3, 21)

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3 years ago

What type of line is represented by the equation x=6

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A researcher plans to study the causal effect of a strong legal system on economy, using data from a random sample of U.S. count

kogti [31]

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Based on expert opinion the regression does not suffer from omitted variable bias

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3 years ago

Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

Galina-37 [17]

Answer:

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is $(x_1,y_1)=(-3, 2)$

Equation of a circle with center $(h,k)$ and radius 'r' is given as:

$(x-h)^2+(y-k)^2=r^2$

Here, $(h,k)=(5,-4)$

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

$r^2=(h-x_1)^2+(k-y_1)^2$

Using distance formula for the points (5, -4) and (-3, 2), we get

$r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100$

Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100$

Now, rewriting it in the form asked in the question, we get

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

4 0

4 years ago

Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $15

Readme [11.4K]

You are going to write 7% as a fraction thusly 7/100
Then you are going to multiply it with the cost price
Therefore it will be 7/100x150

8 0

4 years ago

Read 2 more answers