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natima [27]
3 years ago
7

Eliminate 3x+2y=4 8x-3y=-6

Mathematics
1 answer:
laila [671]3 years ago
7 0
Steps:
1. Multiply the first line by 3 and the second by 2
3(3x + 2y= 4)
2(8x -3y=-6)
2. New lines are
9x + 6y= 12
16x + -6y=-12
3. Now add/subtract them
25x + 0= 0
25x=0
4. Divide by 25
X=0

5. To find y, substitute the 0 in the x in one of the equations
9x + 6y= 12
9(0) + 6y= 12
6y= 12
6. Divide by 6, your Y=2
7. X=0, Y=2
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A circular track has a diameter of 62 yards, whats the circumference of the track
earnstyle [38]

Answer:

194.78 yards

Step-by-step explanation:

Diameter: d=62yards

Perimeter: p=2×pi×r=pi×d, where d=2×r, r being the radius.

We get: p=pi×d=62×pi=194.78 yards

7 0
3 years ago
I think its the second one but I'm not sure..
yuradex [85]
Yes it’s correct. You just need to plug each of the x and y values to see if they satisfy the equation.
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3 years ago
There is a total of 100 calories in 15 of Mei's favorite crackers. What is
borishaifa [10]

Answer:

2,100

Step-by-step explanation:

first you want divide 140 by 20 to find the the amount of calories per cracker so 140 divided by 20 is 7 then all you need to do is multiply 7 time the 300 crackers to get you total of 2,100.

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Hope it helps! 0.0

6 0
3 years ago
Read 2 more answers
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
3 years ago
The axis of symmetry for the graph of the function is f(x) = x2 + bx + 10 is x = 6. What is the value of b?
joja [24]

Answer:

b=-12

Step-by-step explanation:

we have

f(x)=x^{2}+bx+10

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2} +k

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to x=h

In this problem we have the axis of symmetry x=6

so

the x-coordinate of the vertex is equal to 6  

therefore

For x=6+1=7 -----> one unit to the right of the vertex

Find the value of f(7)

f(7)=7^{2}+b(7)+10

f(7)=59+7b

For x=6-1=5 -----> one unit to the left of the vertex

Find the value of f(5)

f(5)=5^{2}+b(5)+10

f(5)=35+5b

Remember that

f(5)=f(7) ------> the x-coordinates are at the same distance from the axis of symmetry

so

59+7b=35+5b ------> solve for b

7b-5b=35-59

2b=-24

b=-12


3 0
3 years ago
Read 2 more answers
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