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Veseljchak [2.6K]
3 years ago
7

What are the x- and y-coordinates of point P on the

Mathematics
2 answers:
Grace [21]3 years ago
7 0

Answer:

answer b

Step-by-step explanation:

ELEN [110]3 years ago
3 0
The answer is B

Have a nice day!!!
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Two points are selected randomly on a line of length 32 so as to be on opposite sides of the midpoint of the line. In other word
Paladinen [302]

Solution :

Let us consider the squares be $[1, 16] \times [16, 32]$

If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region$y-x \geq 9 \text{\ is}\ y - x = 9$  which goes from the $(7, 16  ) \text{ to}\ (16, 25) $.

And so it is easier to find the area of region where $ y-x \leq 9$. This is the triangle with points $(7,16),(16,25) \text{ and}\ (16,16)$ as its vertices.

The area if the triangle is =  $\frac{1}{2} \times 9 \times 9$

                                         = $\frac{81}{2}$

Now the entire area is $(16)^2$  = 256

Then, $P(y-x \leq 9) = \frac{81/2}{256} =\frac{81}{512}$

or $P(y-x \geq 9) = 1 - \frac{81}{512}=\frac{431}{512}$

Thus the answer is $\frac{431}{512}$

4 0
3 years ago
Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/
Neko [114]

Answer: Hence, Option (6) and (8) are correct as their value is also "-8".

Step-by-step explanation:

Since we have given that

\frac{2}{3}(6x+12)=-24

First we need to solve to get the value of 'x' :

\frac{2}{3}(6x+12)=-24\\\\6x+12=\frac{3}{2}\times (-24)\\\\6x+12=3\times (-12)\\\\6x+12=-36\\\\6x=-36-12\\\\6x=-48\\\\x=\frac{-48}{6}\\\\x=-8

Therefore, x=-8

Now, we will check all the options :

1) 4x+8=24

4x+8=24\\\\4x=24-8\\\\4x=16\\\\x=\frac{16}{4}=4

2) 9x+18=-24

9x+18=-24\\\\9x=-24-18\\\\9x=-42\\\\x=-4.67

3) 4x+12=-24

4x+12=-24\\\\4x=-24-12\\\\4x=-36\\\\x=\frac{-36}{4}=-9

4) 18x+36/2=-24

18x+18=-24\\\\18x=-24-18\\\\18x=-42\\\\x=-2.34

5) 4x=-36

x=\frac{-36}{4}=-9

6) 4x=-32

x=\frac{-32}{4}=-8

7) x=-9

8) x=-8

Hence, Option (6) and (8) are correct as their value is also "-8".

5 0
4 years ago
Read 2 more answers
PLEASE HELP ME!!! I NEED HELP!!! WILL MARK BRAINLIEST!!!
GREYUIT [131]

Answer:

1.) D

2.) F

3.) C

4.) H

Step-by-step explanation:

i am positive on 4, but not totally sure on 1, 2, and 3

3 0
3 years ago
Distance between riverside and milton if they are 12 cm apart on a map with a scale of 4cm : 21 (?
solniwko [45]
You dont have anything that we can answer to.
7 0
4 years ago
What is the solution of startfraction 1 over c minus 3 endfraction minus startfraction 1 over c endfraction = startfraction 3 ov
Sonbull [250]

The solution of the given equation can be all real numbers, except c = 0 and c = 3.

Lets simplify the given problem,

1/c-3 - 1/c = 3/ (c-3)

As the denominators cannot be equal to zero (0) because a division by zero (0) is undefined.

Next, we would multiply both sides of the given by the lowest common multiple (LCM).

The lowest common multiple (LCM) is c(c - 3).

c-[c-3] = 3

c-c+3 = 3

0 = 3-3

0=0

Therefore, the solution of the given equation can be all real numbers, except c = 0 and c = 3.

Learn more about Fractions on:

brainly.com/question/368260

#SPJ4

4 0
2 years ago
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