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Vanyuwa [196]
2 years ago
12

-2x-9y=25 4x+9y=23 solve with elimination

Mathematics
1 answer:
Masja [62]2 years ago
4 0

Answer:

x = 24 and y= −73/9

Step-by-step explanation:

Let's solve your system by elimination.

−2x−9y=25;4x+9y=23

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

−2x−9y=25

4x+9y=23

Add these equations to eliminate y:

2x=48

Then solve2x=48for x:

2x=48

2x/2 = 48/2

(Divide both sides by 2)

x=24

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

−2x−9y=25

Substitute24forxin−2x−9y=25:

(−2)(24)−9y=25

−9y−48=25(Simplify both sides of the equation)

−9y−48+48=25+48(Add 48 to both sides)

−9y=73

−9y/−9 = 73/−9

(Divide both sides by -9)

y= −73/9

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Find the volume of a cone with a base diameter of 12 m and a height of 10 m.
dexar [7]

Answer:

=376.8 m^{3}

Step-by-step explanation:

V=nr^{2}  \frac{h}{3}  Where V is the volume , r is the radius and h is the perpendicular height .

r = \frac{12}{2} m=6

h = 10m

n=3.14

v= 3.14 * 6*6 *\frac{10}{3}

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5 0
3 years ago
Determine the number of x-intercepts that appear on a graph of each function. f (x) = (x - 6)2(x + 2)2
Tpy6a [65]
<span>The number of x-intercepts that appear on the graph of  the function
</span>f(x)=(x-6)^2(x+2)^2 is two (2): x=6 (multiplicity 2) and x=-2 (multiplicity 2)


Solution
x-intercepts:
f(x)=0→(x-6)^2 (x+2)^2 =0

Using that: If a . b =0→a=0 or b=0; with a=(x-6)^2 and b=(x+2)^2

(x-6)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x-6)^2] = sqrt(0)→x-6=0
Adding 6 both sides of the equation:
x-6+6=0+6→x=6 Multiplicity 2

(x+2)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x+2)^2] = sqrt(0)→x+2=0
Subtracting 2 both sides of the equation:
x+2-2=0-2→x=-2 Multiplicity 2
6 0
3 years ago
Read 2 more answers
1) Miguel has a gift card to an electronics store. He has $ 150 on the card. He purchased a DVD for $ 20 and some games for $12.
GrogVix [38]

Answer:

9 games

Step-by-step explanation:

If he purchase 1 game, he spent $12.50. If he purchased 2 games, he spent 2(12.50) = $25.

This means he spent 12.5x for x number of games.

His total spending will be 12.5x + 20. He has $17.50 left on the card from $150.

150 - (12.5x + 20) = 17.5

150 - 12.5x -20 = 17.5

130 - 12.5x = 17.5

-12.5x =  17.5 - 130

-12.5x = -112.5

x = 9

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3 years ago
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victus00 [196]

Answer:

Step-by-step explanation:

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3 years ago
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3÷3.6=5/6

4÷5/6=4.8

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3 years ago
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