Answer:
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Step-by-step explanation:
The equation for a circle is
, where
is the vertex of the circle and
is the radius. Immediately, since the center of the circle is given, we know what
and
are.
is 230 and
is 220.
The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that
, where
is the change in the x-coordinates of the two points and
is the change in the y-coordinates of the two points. Plug-in
for 60 and
for 50 to get
. Solve for
, arriving at
. Therefore, the radius of the circle is
.
Finally, we have all of the components to create the equation of the circle. Plug-in 230 for
, 220 for
, and
for
.
The equation of the circle will be
.
Hope this helps :)
The measure of arcPR and arcRPT are 83 and 208 degrees respectively
The measure of arc ST will be gotten using the expression below:
arcPS = arcPT + arcST
Given the following
arcST = arcPS - arcPT
arcST = 180 - 125
arcST = 55 degrees
Similarly, arcPR = 180 - arcRS
arcPR = 180 - 97
arcPR = 83 degrees
arcRPT = arcPR + arcPT
arcRPT = 83 + 125
arcRPT = 208 degrees
Hence the measure of arcPR and arcRPT are 83 and 208 degrees respectively
Learn more about circles here: brainly.com/question/24375372
Answer:
opiton b
Step-by-step explanation:
To find out which equation satisfies h(x) we need to check with each option
We plug in x value
A) h(–1.25) = –0.5
Plug in -1.25 for x in h(x) = 16^x
That is not true
B) h(–0.5) = 0.25
Plug in -0.5 for x
That is true.
C) h(0.75) = 12
Plug in 0.75 for x
That is not true.
D) h(1.25) = 20
Plug in 1.25 for x
That is not true
Easy...
to even begin to factor..you must factor out a 3, to simplify your answer.
3(12
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-7x-10)
Now, you can factor.

So..to find the answer...
12*-10=-120x
and
you would use -7x
What multiplies to -120..but adds to -7?
-15*8=-120
and
-15+8=-7
To find the answer, plug in what you know..
3(3x+2)(4x-5)
Thus, your answer.