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kolezko [41]
3 years ago
13

-3 1/2=1/2 x+1/2 x+x simplified?

Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0
-3 1/2 = 1/2x + 1/2x + x
- 7/2 = 2x
(-7/2) / 2 = x
-7/2 * 1/2 = x
- 7/4 (or - 1 3/4) = x
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Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth.
SVETLANKA909090 [29]

Answer:

18.85 units 3

Step-by-step explanation:

7 0
3 years ago
The feeder in the Example had 16 fl oz of food in it to start. How much food does it<br> have now?
vova2212 [387]

Answer:

i dont know

Step-by-step explanation:

8 0
2 years ago
Find an equation of the line containing the centers of the two circles whose equations are given below.
Anna35 [415]

Answer:

<h2><em>3y+x = -5</em></h2>

Step-by-step explanation:

The general equation of a circle is expressed as x²+y²+2gx+2fy+c = 0 with centre at C (-g, -f).

Given the equation of the circles x²+y²−2x+4y+1  =0  and x²+y²+4x+2y+4  =0, to  get the centre of both circles,<em> we will compare both equations with the general form of the equation above as shown;</em>

For the circle with equation x²+y²−2x+4y+1  =0:

2gx = -2x

2g = -2

Divide both sides by 2:

2g/2 = -2/2

g = -1

Also, 2fy = 4y

2f = 4

f = 2

The centre of the circle is (-(-1), -2) = (1, -2)

For the circle with equation x²+y²+4x+2y+4  =0:

2gx = 4x

2g = 4

Divide both sides by 2:

2g/2 = 4/2

g = 2

Also, 2fy = 2y

2f = 2

f = 1

The centre of the circle is (-2, -1)

Next is to find the equation of a line containing the two centres (1, -2) and (-2.-1).

The standard equation of a line is expressed as y = mx+c where;

m is the slope

c is the intercept

Slope m = Δy/Δx = y₂-y₁/x₂-x₁

from both centres, x₁= 1, y₁= -2, x₂ = -2 and y₂ = -1

m = -1-(-2)/-2-1

m = -1+2/-3

m = -1/3

The slope of the line is -1/3

To get the intercept c, we will substitute any of the points and the slope into the equation of the line above.

Substituting the point (-2, -1) and slope of -1/3 into the equation y = mx+c

-1 = -1/3(-2)+c

-1 = 2/3+c

c = -1-2/3

c = -5/3

Finally, we will substitute m = -1/3 and c = 05/3 into the equation y = mx+c.

y = -1/3 x + (-5/3)

y = -x/3-5/3

Multiply through by 3

3y = -x-5

3y+x = -5

<em>Hence the equation of the line containing the centers of the two circles is 3y+x = -5</em>

5 0
3 years ago
a bicycle shop advertised all mountain bikes priced at a 1/3 discount.the original price of the bicycle is 327 dollars what is t
Andre45 [30]

It should be $109 for the bike because if u divide 327 by 3 it equals 109.

6 0
3 years ago
What is the value of the expression?<br> 5(6-10)
MArishka [77]

Answer:

-20

Step-by-step explanation:

multiply 5 and 6 then 5 and -10

30-50=-20

6 0
3 years ago
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