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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
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4x-6+x+3<br><br> what is the value of this expression if x=8
Dmitry [639]
4x - 6 + x + 3.....when x = 8

4(8) - 6 + 8 + 3 =
32 - 6 + 8 + 3 =
43 - 6 =
37 <==
6 0
3 years ago
Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2.
Leokris [45]
Standard form is, hold a sec

x=2 is directix
that means it opens left or right
so we must use
(y-k)²=4p(x-h)
where vertex is (h,k) and p is distance from focus to vertex
also shortest distance from vertex to directix
the shortest distance from focus to directix is 2p
if p>0 then the parabola opens right
if p<0 then pareabola opens left

so
(-2,0) and x=2
the distance is 4
4/2=2
p=2
wait, positive or negative
focus is to the left of the directix so p is negative
p=-2

vertex is 2 to the right of the focus and 2 to the left of directix
vertex is (0,0)

so
(y-0)²=4(-2)(x-0) or
y²=-8x is da equation
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4 0
2 years ago
Order the measurements from largest to smallest.<br> 4.9L , 4090ml , 1.4km , 4901m
Burka [1]

Answer:

4090 ml - 4.9L

1.4km - 4901m

Step-by-step explanation:

A liter is made up of 1000 ml so 4.9 l is equvilant to 4,900 ml.

A kilometre same as litre is made up of a 1000 m. So 1.4 km is 1400m

However, ml and l is a measurement of volume while m and km is a measurement of distance.

6 0
3 years ago
PLEASE HELP!!!<br> Solve the inequality: <br> 5 (2x-3) - 6x &gt; -2 (x - 6) +3
jeyben [28]

Answer:

x>5

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

4x−15>−2x+15

Step 2: Add 2x to both sides.

4x−15+2x>−2x+15+2x

6x−15>15

Step 3: Add 15 to both sides.

6x−15+15>15+15

6x>30

Step 4: Divide both sides by 6.

3 0
2 years ago
Read 2 more answers
Hello! please help with this question.
Harlamova29_29 [7]

Answer:

D

Step-by-step explanation:

A) more like parallel line

B) That is angle bisecting

C) Neither Angle or line bisector

3 0
3 years ago
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