1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Len [333]
3 years ago
6

PLEASE HELP ME WITH IT.

Mathematics
1 answer:
scoundrel [369]3 years ago
7 0

OK.  I did it.  Now let's see if I can go through it without
getting too complicated.

I think the key to the whole thing is this fact:

     A radius drawn perpendicular to a chord bisects the chord.

That tells us several things:

-- OM bisects AB. 
   'M' is the midpoint of AB.
   AM is half of AB.

-- ON bisects AC.
    'N' is the midpoint of AC.
   AN is half of AC.

--  Since AC is half of AB,
     AN is half of AM.
     a = b/2 

Now look at the right triangle inside the rectangle.
'r' is the hypotenuse, so

                                            a² + b² = r²

But  a = b/2, so             (b/2)² + b² = r²

(b/2)² = b²/4                   b²/4   + b² = r²

Multiply each side by 4:     b² + 4b² = 4r²
                                       -  -  -  -  -  -  -  -  -  -  -
                                            0  + 5b² = 4r²  
Repeat the
original equation:                a² +  b² =  r²

Subtract the last
two equations:                  -a² + 4b² = 3r² 

Add  a²  to each side:              4b²  =  a² + 3r² .    <=== ! ! !
 
You might be interested in
Simplify completely <br> ( h^12 )<br> ( ------ ) ^3<br> ( h^4 )
Vinvika [58]

Answer:

h²⁴

Step-by-step explanation:

Emm... Do you mean (frac(h¹²)/(h⁴))³? If so, here is a solition: h¹²/h⁴=h⁸ and 8×3=24, so answer is h²⁴. Please use formula editor next time) Have a nice day))

8 0
3 years ago
Grumpy Corp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines
Vedmedyk [2.9K]

Answer:

Hence, the probability of a Negative test is P(T^C)=0.5904.

Step-by-step explanation:

(a)

Let D= Drug user and T= Test positive

Probability of drug users P(D)=36\%=0.36

                                    P(\frac{T}{D})=96\%=0.96

                                   P(\frac{T^c}{D^c})=90\%=0.90

(b)

Find the Probability of a Negative test,

     P(T^C)=P(\frac{T^C}{D^C})\cdot P(D^C)+P(\frac{T^C}{D})\cdot P(D)

\Rightarrow P(T^C)=0.9\cdot(1-0.36)+(1-0.96)\cdot 0.36

\Rightarrow P(T^C)=0.9\cdot 0.64+0.04\cdot 0.36

\Rightarrow P(T^C)=0.576+0.0144

\Rightarrow P(T^C)=0.5904

4 0
3 years ago
Solving quadratic equations with complex solutions x2 + 4x + 8 = 0.
Daniel [21]

Answer:

\large\boxed{x=-2\pm2i}

Step-by-step explanation:

x^2+4x+8=0\qquad\text{subtract 8 from both sides}\\\\x^2+4x+8-8=0-8\\\\x^2+2(x)(2)=-8\qquad\text{add}\ 2^2\ \text{to both sides}\\\\x^2+2(x)(2)+2^2=-8+2^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2=-8+4\\\\(x+2)^2=-4\iff x+2=\pm\sqrt{-4}\\\\x+2=\pm\sqrt{(4)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x+2=\pm\sqrt4\cdot\sqrt{-1}\qquad\text{use}\ \sqrt{-1}=i\\\\x+2=\pm2\cdot i\qquad\text{subtract 2 from both sides}\\\\x=-2\pm2i

4 0
3 years ago
What is special about the y coordinate that goes with the x coordinate of 1 on a proportional graph
hram777 [196]

Answer and Step-by-step explanation:

There is a two-dimensional numbers line in a coordinate plane, which has a horizontal line x-axis, and the vertical line is known as the y-axis. These lines intersect each other at zero points, and they are perpendicular. Zero points are known as the origin. The axes divide the plane into  quadrants.

A point in the coordinate plane is of the form of (x, y). This point is named as ordered pair; the first number is from the x coordinate, and the second number from the y coordinate.

To make a graph, we draw a dot, starting from the origin, at the coordinate that communicates to the ordered pair. The y coordinates describe how many steps to move up or down ( positive or negative), and x coordinates tell us to move right or left ( positive or negative).

The completeness property for points describes:

Exactly one point in the plane given  the number of ordered pair

And

Exactly one ordered pair of numbers at a given point in the plane.

A relation is ordered pairs; the x coordinates are known as domain, and the y coordinate is known as the range.

The domain contains the value that corresponds to the independent variable and the range equal to the dependent variable.

4 0
2 years ago
I just need the answer
kogti [31]

The answer is 6 with a remainder of 1. (6 R.1)

Hope this helps!!

Please Mark Brainliest!!!

3 0
3 years ago
Other questions:
  • Together, teammates Pedro and Ricky got 2681 base hits last season. Pedro had 283 more hits than Ricky. How many hits did each p
    12·1 answer
  • Viola makes gift baskets for Valentine’s Day. She has 13 baskets left over from last year, and she plans to make 12 more each da
    5·2 answers
  • there are 6 people in a raffle drawing. two raffle winners each wing gift cards . each gift card is the same. how many ways are
    8·1 answer
  • What’s the answer?? Need Help Plz
    6·1 answer
  • Select the decimal that is equivalent to 13/75
    6·2 answers
  • Lim of sin^2x/x as x approaches 0
    10·1 answer
  • Use the properties of equality to Southeast equation b-3=4<br><br>a.7<br>b.1<br>c.-1<br>d.-7
    11·2 answers
  • Find the solution to this system:<br><br> A. (2, 1)<br> B. (1, –2)<br> C. (1, 2)<br> D. (–1, 2)
    14·2 answers
  • As labor costs, an electrician charges
    14·2 answers
  • Omg help me ASAP I’m stuck and people keep giving me different answers
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!