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3 years ago

Use the elimination method to solve the system of equations. 5x - 2y = 9 and 3x + 4y = -5

Mathematics

2 answers:

Nana76 [90]3 years ago

6 0

Answer: Y = -2 and x = 1

Simplify:

10x − 4y = 18

3x + 4y = -5

Substitute and then the final answer is shown above.

yaroslaw [1]3 years ago

4 0

Answer:

(1,-2)

Step-by-step explanation:

2(5x-2y=9) = 10x-4y=18

3x+4y=-5

4 cancels out then u add everything together

now u have 13x=13 the u divide 13x on both sides and you'll get x=1

now u plug xin to what ever equation u want i pick 3x+4y=-5

now u have 3(1)+4y=-5 then 3+4y=-5 then u subtract 3 on both sides and you get -8

now u have 4y=-8 then u divide and u get y=-2

x=1 y=-2

(1,-2)

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twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only

Karolina [17]

donuts and cream puffs were 45 & 4 respectively !

Step-by-step explanation:

Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts We need to find how many donuts and cream puffs were there . Let's find out:

Let number of donuts and cream puffs are x & y respectively ! So ,

twice the number of donuts was only 6 less than 24 times the number of cream puffs

According to this statement equation is :

⇒ $2x=24y-6$

⇒ $x=12y-3$ ................(1)

10 times the number of cream puffs was only 5 less than the number of donuts

According to this statement equation is :

⇒ $10y= x-5$

⇒ $x=10y+5$ ................(2)

Equation (1) & (2) :

⇒ $12y-3=10y+5$

⇒ $2y=8$

⇒ $y=4$

Putting $y=4$ in $x=12y-3$ :

⇒ $x = 12(4)-3$

⇒ $x = 45$

Therefore , donuts and cream puffs were 45 & 4 respectively !

7 0

3 years ago

A quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) . Find the equation for the line (axis) of symmetry

ra1l [238]

Answer:

The equation for the axis of symmetry is x=1.5.

Step-by-step explanation:

It is given that a quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) .

In the given points y-coordinates are same, i.e., -8. It means both the points lie on the horizontal line y=-8.

If a quadratic function passes through two points (a,c) and (b,c), then the equation for the axis of symmetry is

$x=\frac{a+b}{2}$

According to the given points a=-5, b=8 and c=-8. Put these value in the above formula.

$x=\frac{-5+8}{2}$

$x=\frac{3}{2}$

$x=1.5$

Therefore the equation for the axis of symmetry is x=1.5.

8 0

3 years ago

Find the prime factorization of 210. 2 X 3 X 5 X 7 2 X 3 X 35 2 X 7 X 15

lara31 [8.8K]

The answer is: [A]: " 2 × 3 × 5 × 7 " .
________________________________________________________

210 = 70 * 3 ;

70 * 3 = 35 * 2 * 3 ;

35* 2* 3 = 7 * 5 * 2 * 3 ; which corresponds to "Answer choice: [A]." .
________________________________________________________

6 0

3 years ago

Read 2 more answers

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Flauer [41]

Probability of heads or tails is .5
so you do (.5)^3 and you get D = 0.125

5 0

3 years ago

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A building is 2ft from a 10ft fence that surrounds the property. A worker wants to wash a window that is 14ft from the ground. H

Ronch [10]

Height of fence = 10 feet

Height of point where window needs to be washed = 14 feet

Distance between fence and building = 2 feet

Distance between fence and ladder = 10 feet

⇒ Distance between building and ladder = Distance between fence and building + Distance between fence and ladder

⇒ Distance between building and ladder = 2 + 10 feet

⇒ Distance between building and ladder = 12 feet

Now to determine the length of the ladder that goes over the fence, we can use the Pythagoras theorem, where perpendicular is represented by the height of the building, and base is represented by distance between the building and the ladder, and the length of the ladder represents the hypotenuse

So by Pythagoras theorem:

H² = P² + B²

⇒ Length of the Ladder² = Height of the Building² + Distance between Ladder and Building²

⇒ Length of the Ladder² = 14² + 12²

⇒ Length of the Ladder² = 196 + 144

⇒ Length of the Ladder² = 340

⇒ Length of the Ladder = √340

⇒ Length of the Ladder = 18.439..

⇒ Length of the Ladder = 18.4

Hence, the length of the ladder should be 18.4 feet

8 0

3 years ago