Answer:
See below
Step-by-step explanation:
The CENTER will de directly between the two given points
<u> h, k = -1,7 </u>
so...so far the circle eq is
(x+1)^2 + ( y-7)^2
the RADIUS is 1/2 of the distance between the given points
1/2 d = (using distance formula) = 1/2 sqrt 80 =<u> 4.472 </u>
then the equation of the circle in standard form
(x+1)^2 + (y-7)^2 = 20
Answer:
-3,0 3,4 and 6,6
Step-by-step explanation:
I hope this helps you
Answer:
c. 60.9%
Step-by-step explanation:
Given:
The probability P that a person responds to an advertisement can be modeled by the function:
where represents number of days since the advertisement first appeared.
To find the probability that a person has responded after 20 days.
Solution:
In order to find the probability that a person has responded after 20 days, we will plugin in the formula given.
We have:
Plugging in
Thus, probability after 20 days = 0.6094
The probability in percentage can be given = = 60.9%
<h3>
Answer: A) 6.4</h3>
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Explanation:
Refer to the diagram below. I've added the points A, B, C, D, and E. Point A is the center of the circle while points B, C and D are along the circle's edge. The radius AC and chord BD intersect at point E.
Recall that whenever we have a radius perpendicular to a chord like this, it means that the radius bisects the chord. So that means chord BD is cut into two equal pieces BE and ED. The diagram given to you tells us that ED = x, so BE is also x units long as well. Overall, BD = BE+ED = x+x = 2x units.
Since BE = ED, the arcs formed are congruent as well. Minor arc BC is the same measure as minor arc CD. Both are 45 degrees. They combine to 90 degrees. In turn, this leads to central angle DAB to be 90 degrees.
Note how triangle DAB is an isosceles right triangle. The two equal legs are the two radii AB and AD, both which are 9 units long. The hypotenuse BD is equal to sqrt(2) times the leg length, so BD = 9*sqrt(2) units long.
Earlier I mentioned that BD = 2x also. We'll equate the two right hand side expressions and solve for x like so:
2x = 9*sqrt(2)
x = (9*sqrt(2))/2
x = (9/2)*sqrt(2)
x = 4.5*sqrt(2)
x = 6.36396103067892
That value is approximate. Rounding to the nearest tenth leads to the final answer of 6.4; therefore, the answer is choice A.
Slope=change in y/change in x
so
from (-4-2) to (-2,-10)
change in y is from -2 to -10, that is -8 change
change in x is from -4 to -2 which is 2 change
-8/2=-4
slope is -4
B
realk way
for
(x1,y1) and (x2,y2)
slope is (y2-y1)/(x2-x1)
so
(-4,-2) and (-2,-10)
slope=(-10-(-2))/(-2-(-4))=(-10+2)/(-2+4)=-8/2=-4
B is answer