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Ulleksa [173]
3 years ago
11

Points (−3, 5) and (3, 5) on the coordinate grid below show the positions of two players on a tennis court:

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer:

4.  Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

Step-by-step explanation:

Player 1's position is (-3, 5).

It means that it is 3 units left from the origin and 5 units above the origin.

Player 2's position is (3, 5).

It means that it is 3 units right from the origin and 5 units above the origin.

Hence, the two points are on the same horizontal line bisected by the y-axis.

So, Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

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Sin(A+B)/sin A cos B<br> = 1 + cot A tan B<br> how to verify the identity?
vlada-n [284]

Answer:

see explanation

Step-by-step explanation:

Using the identities

sin(A + B) = sinAcosB + cosAsinB

cotA = \frac{cosA}{sinA} , tanA = \frac{sinA}{cosA}

Consider the left side

\frac{sin(A+B)}{sinAcosB}

= \frac{sinAcosB+cosAsinB}{sinAcosB}

= \frac{sinAcosB}{sinAcosB} + \frac{cosAsinB}{sinAcosB}

= 1 + \frac{cosA}{sinA} . \frac{sinB}{cosB}

= 1 + cotA tanB = right side , thus verified

6 0
3 years ago
Suppose the area of a square 16 yards. Find the perimeter of the square.
kati45 [8]
You take the area and find the square root
                       V                              V
                      16                              √
so you would be looking for √16 which equals 4

then you would add 4 by the length of the other 4 side to find the perimeter, which is ironically 16
7 0
4 years ago
How many times will 11/12 of a gallon of milk fill a vessel holding 1/5 of 4/5 of a gallon?
RideAnS [48]
Every time, Because the 11/12 gallon is larger then both the vessel and the other gallon.
5 0
4 years ago
A cubed-shaped box has its side lengths decreased by 3 cm, when this happens, the volume decreases by 1385cm^3. What is the side
mixer [17]

Answer:

Step-by-step explanation:

let side of cube=x cm

volume=x³ cm³

again side=(x-3) cm

volume=(x-3)³ cm³

x³-(x-3)³=1385

(a³-b³)=(a-b)(a²+ab+b²)

(x-x+3){x²+x(x-3)+(x-3)²}=1385

3(x^2+x²-3x+x²-6x+9)=1385

3(3x²-9x+9)=1385

9x²-27x+27=1385

9x²-27x+27-1385=0

9x²-27x-1358=0

x=\frac{27\pm\sqrt{(-27)^2-4*9*(-1358)} }{2*9} \\x=\frac{27\pm\sqrt{729+48888} }{18} \\or~x=\frac{27\pm\sqrt{49617} }{18} \\or~x=\frac{27\pm 222.749}{18} \\taking positive side only as negative sign gives negative length.\\or~x=\frac{27+222.749}{18} \\or~x\approx13.87

3 0
3 years ago
Beginning with an integer $n,$ Jake goes through the following steps: $\bullet$ 1. Take the reciprocal of the starting number. $
evablogger [386]

Answer: n= 32

Jakes started with 32

Step-by-step explanation:

Let n represent the initial integer.

Step 1: take the reciprocal.

Reciprocal of n = 1/n

Step 2: double the number obtained in step 1

= 2×1/n = 2/n

Step 3: take the reciprocal of the number obtained in step 2.

Reciprocal of 2/n = n/2

Since he ended up with 16

n/2 = 16

n = 2×16 = 32

4 0
4 years ago
Read 2 more answers
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