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Bad White [126]
3 years ago
6

Find the exact solution(s) of the equation. 1/3 . x^2

Mathematics
1 answer:
kogti [31]3 years ago
6 0

there is no solution to it, it stays the same

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Could someone please help on this question? I’m giving 20 points and brainliest but I need it quickly so please help!
AnnZ [28]
<h3>Answer:  HF = 5</h3>

=============================================

Explanation:

Refer to the diagram below. I'm adding in points A and B, which are marked in blue. I'm also adding in variables x, y, and z.

The goal is to find HF, so let's make that equal to x. This is also equal to HB because they are radii of the same circle.

Let y be the length of segments JA and JB.

Let z be the length of segments CF and CA.

So in short we have

  • x = HF = HB
  • y = JA = JB
  • z = CF = CA

We know that

  • CH = 13
  • HJ = 19
  • CJ = 22

This must mean

  • CH = CF+HF = z+x = 13
  • HJ = HB+JB = x+y = 19
  • CJ = CA+JA = z+y = 22

Or in short,

  • z+x = 13
  • x+y = 19
  • z+y = 22

Let's solve the first equation for z to get z = -x+13. I subtracted x from both sides.

Now plug this into the third equation to get

z+y = 22

(z) + y = 22

(-x+13) + y = 22 ... replace z with -x+13

-x+13+y = 22

-x+y+13 = 22

-x+y = 22-13 .... subtract 13 from both sides

-x+y = 9

------------------------------------

So we have this reduced system of equations of two variables and two equations

  • x+y = 19 ... found earlier
  • -x+y = 9 .... what we just found above

Add the equations straight down. This is the elimination property.

Doing so leads to the x terms canceling out since x + (-x) = 0x = 0

The y terms add to y+y = 2y

The terms on the right hand side add to 19+9 = 28

We are left with 2y = 28 which solves to y = 28/2 = 14.

If y = 14, then,

x+y = 19

x+14 = 19

x = 19-14

x  = 5

In which we can then say

z = -x+13

z = -5+13

z = 8

Though we don't need to find z (unless you're curious about it).

Since x = 5, and we set HF equal to x, this means that HF = 5.

6 0
3 years ago
Nvm bro i got the answer
KIM [24]
Ok and have a nice day
6 0
2 years ago
What is 113.26087 converted in to a fraction.
adelina 88 [10]

Answer:

113.26087 as a fraction equals 11326087/100000

Step-by-step explanation:

To write 113.26087 as a fraction you have to write 113.26087 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

113.26087 = 113.26087/1 = 1132.6087/10 = 11326.087/100 = 113260.87/1000 = 1132608.7/10000 = 11326087/100000

6 0
3 years ago
Read 2 more answers
Graph the line whose y -intercept is 5 and whose x -intercept is −7 .
Tcecarenko [31]
Look at the vertical line on the graph and find five
Place a dot there
Look at the horizontal line and look to the left to find -7
Place a dot there
Now, just get a ruler and draw a line connecting the two dots
8 0
3 years ago
The manager of a baseball team has 15 players to choose from for his 9 person batting order
Masteriza [31]
Given the question:
The manager of a baseball team has 15 players to choose from for his 9-person batting order. How many different ways can he arrange the players in the lineup?
5,005    362,880    3,603,600    1,816,214,400

The number of was in which a smaller group is choosing from a bigger group is given by the bigger number combination the smaller number.
^nC_r= \frac{n!}{(n-r)!r!}
Here, we want to choose a 9-person batting order from a team of 15 players. This is given by:
^{15}C_9= \frac{15!}{(15-9)!9!}=\frac{15\times14\times13\times12\times11\times10\times9!}{6!\times9!}= \frac{3,603,600}{720} =5,005

6 0
3 years ago
Read 2 more answers
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