Here are the steps.
In order to get the answer, first we need to get the x and y value of the center of the circle by using the equation of a circle (x^2 + y^2 = r^2)
<span>The center is (-9, -4)</span>
Once you get the center point, find the equation of the line (in a form of a radius) from the center point to point (2, -1). Get the slope.
The slope from center to point (2, -1) is 11/3
Finally, get the negative reciprocal of the slope from the previous step and form the equation using slope-intercept form ( y=mx + b). Then, that's the equation of the tangent line.
The slope of the tangent line is -3/11
The equation is y = -3/11x - 5/11
Answer: 12.25
Step-by-step explanation:
Given the following details :
DAC = 90° and ABC = 90° = right angled
Segment AB is Parallel to segment DC
FROM THE DETAILS ;
Triangle ABC and ACD are similar triangles.
Length AC = 7 Units
Length AB = 4 Units
For similar triangles :
Segment CD /AC = Segment AC / AB
CD / 7 = 7 / 4
Cross multiply
CD × 4 = 7 × 7
CD × 4 = 49
CD = 49 / 4
CD = 12.25 Units
Answer:
Figure A
Step-by-step explanation:
A regular polygon has all sides the same length and all angles the same measure. Only Figure A matches that description.
see the attached figure to better understand the problem
we know that
The equilateral triangle has three equal sides
so
in the equilateral triangle ABC
the height of the triangle is the segment BD
in the right triangle BCD
Applying the Pythagorean Theorem
solve for BD
substitute the values
therefore
<u>the answer is</u>
the height of the triangle is 
Step-by-step explanation:
P(black or yellow) = P(black) + P(yellow) − P(black and yellow)
P(black or yellow) = 1/25 + 1/5 − 0
P(black or yellow) = 6/25
