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elena55 [62]
3 years ago
9

Solve the system by the substitution method. Show your work. 2y - x = 5 x^2 + y^2 - 25 = 0

Mathematics
1 answer:
Elza [17]3 years ago
6 0
2y - x = 5
x^2 + y^2 - 25 = 0

x = 2y - 5

(2y-5)^2 + y^2 - 25 = 0
(2y-5)(2y-5) + y^2 - 25 = 0
4y^2 - 20y + 25 + y^2 - 25 = 0
5y^2 - 20y = 0
y = 0 , y = 4

x = 2y - 5 , when y = 0
x = - 5

x = 2y - 5 , when y = 4
x = 8 - 5
x = 3
You might be interested in
PLEASE HELP ME :(<br> God bless.
Dmitriy789 [7]

Answer:

x - 99 ≤ -104 → 2nd line

x - 51 ≤ -43 → 1st line

150 + x ≤ 144 → 4th line

75 < 69 - x → 3rd line

Step-by-step explanation:

Ugh! Wow, this is going to be tedious, thanks alot, bro (jk, I got your back).

x - 99 ≤ -104

 + 99   + 99

x ≤ -5

There should be a line going from -5 to negative infinity (AKA the left) with a FILLED circle. So, the second one is correct.

x - 51 ≤ -43

 + 51   + 51

x ≤ 8

There should be an arrow with a FILLED circle going to negative infinity (AKA the left). So, the first one is correct.

I'm going to take a shortcut and notice that one of the lines has a filled circle while the other one has an empty circle. So the empty circle must relate to the question without a ≤ or ≥, but with a < or >. We see that 75 < 69 doesn't have ≤ or ≥ but a '<.' So this one must have the empty circle, which is on line 3. The last equation has to be on line 4.

3 0
3 years ago
What is the gradient of the blue line Attachment below!!!!!!!!!!!
mr_godi [17]

Answer:

-3 Or 3 it could be any one of them

Step-by-step explanation:

-3 or 3

Rise/run so an

6 0
3 years ago
PLEASE HELP!
Wittaler [7]

Answer:

See below

Step-by-step explanation:

Use the formulae directly

For a cone, with base radius = r and height = h, here are the related formula

\textrm{Slant height  l} = \sqrt{r^2 + h^2}  (1)

\textrm{Lateral surface area} = \pi r l

\textrm {Base area} = \pi r^2

\textrm { Total Surface Area SA} = \textrm{Base Area + Lateral Area} = \pi r^2 + \pi rl = \pi r(r + l) (2)

\textrm{Volume V = } (1/3)  \pi r^2h (3)

Therefore directly plugging in the numbers in the above equations:

Note:

l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm

Figure(a)

r = 4, h = 8

\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA}  = 4\pi(4 + 8.944) =  4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04

Figure(b)

r = 7, h =15

\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55

\textrm{SA}  = 7\pi(7 + 16.55) =  517.89

Figure (c)

r = 5, l = 8

h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA}  = 5\pi(5 + 8) =  204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5


6 0
2 years ago
a six sided die is rolled 4 times in a row. What is the probability of getting 4 only on the last trial of this experiment?
hoa [83]
First, start of by saying what the probability of getting a 4 is, which is 1/6.
Now, this means the probability of not getting a 4 is 1-(1/6)=(5/6), since the total probability is 1.

After doing this, you should think about what it means to only get 4 on the last trial, the 4th trial.  It means that the probabilities of the 1st, 2nd, and 3rd trial were (5/6) each.  The 4th trial had a probability of (1/6).  So the probability would be calculated as following: ((5/6)^3*(1/6)=5^3/6^4.  You can use a calculator or your computer to find out that the probability is 125/1296.  

I hope this was helpful!
5 0
2 years ago
129931 Rounded to the nearest thousand
maks197457 [2]

13,000.......................hope it helps!

6 0
3 years ago
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