All categories

3 years ago

In the diagram, A ABC and A CDA are congruent.

Mathematics

1 answer:

Nataliya [291]3 years ago

7 0

Here’s some work in case you need that or can use it to solve the next problem, it’s a little spotty so maybe not but the answer is the square root of 33

You might be interested in

write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)

Elenna [48]

Given:

The endpoints of a diameter are (0,0) and (4,-6).

To find:

The equation of the circle.

Solution:

The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is

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

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

$d=\sqrt{36+16}$

$d=\sqrt{52}$

$d=2\sqrt{13}$

Now, radius is half of the diameter.

$r=\dfrac{2\sqrt{13}}{2}$

$r=\sqrt{13}$

Center of the circle is the midpoint of the endpoints of a diameter.

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

$Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)$

$Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)$

$Center=\left(2,-3\right)$

Standard form of a circle is

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

where, (h,k) is center and r is radius.

The center of the circle is (2,-3) and radius is $\sqrt{13}$ . So,

$(x-2)^2+(y-(-3))^2=(\sqrt{13})^2$

$(x-2)^2+(y+3)^2=13$

Therefore, the standard form of the circle is $(x-2)^2+(y+3)^2=13$ .

5 0

3 years ago

A line that has a slope of 1/2 and passes through the point (-4,7)

Doss [256]

Answer:

y= ½x+9

Step-by-step explanation:

Use desmos makes it easier

7 0

3 years ago

The accompanying table shows the value of a car over time that was purchased for 14000 dollars, where x is years and y is the va

dimaraw [331]

Since the company table shows the value of a car overtime that is purchased for $14,000 where exes years and why is the value of the coronavirus write an expression of regression equation for the set of data running I’ll call fissions to the nearest hundredth using a question term in the value of the car to the nearest cent after 12 years were the answer is actually 14

7 0

3 years ago

Select the equation that represents the following graph<br>

stiks02 [169]

Answer:

there is nothing atttached or no options given

Step-by-step explanation:

3 0

3 years ago

I need this question to be answer asap

myrzilka [38]

If r(x)= 11x, and c(x)=6x +20, then just put that into the equation.
So instead of p(x) = r(x) - c(x)
I would be p(x) = 11x - 6x + 20
Now solve.
p(x) = 5x + 20 is your final answer, so A.

7 0

4 years ago

Read 2 more answers