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hoa [83]
3 years ago
7

Use the elimination method to solve the system of equations. Choose the

Mathematics
2 answers:
Dimas [21]3 years ago
8 0

Answer: x=6

Step-by-step explanation:

Let's solve your system of equations by elimination.

3x+5y=48;−3x+5y=12

Steps:

3x+5y=48

−3x+5y=12

Add these equations to eliminate x:

10y=60

Then solve

10y=60

for y:

10y/10=60/10

(Divide both sides by 10)

y=6

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

Write down an original equation:

3x+5y=48

Substitute

6 for y in 3x+5y=48:3x+(5)(6)=48

3x+30=48

(Simplify both sides of the equation)

3x+30+−30=48+−30

(Add -30 to both sides)

3x=18

3x/3=18/3

(Divide both sides by 3)

x=6

IRINA_888 [86]3 years ago
4 0

Answer: x=6

Y=6

Step-by-step explanation:

Using the elimination method

3x+5y=48.....equ1

-3x+5y=12......equ2

Add equation 1 &2

3x+5y=48

+

-3x+5y=12

Answer =

10y=60

Y=60/10

Y=6

Substitute for y in equation 1

3x+5y=48

3x+5(6)=48

3x+30=48

3x=48-30

3x=18

X=18/3

X=6

Therefore,

X= 6

Y= 6

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2 years ago
[100 POINTS] What is the measure of the arc from A to B that does not pass through C?
Nana76 [90]

Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.

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Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).

m∠BAC = 40 degrees.

Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]

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8 0
2 years ago
a (1,4) b (-1,2) c (5,-2) are the vertices of triangle abc find the sum of coordinates of the point where the right bisector of
zmey [24]

Answer:

3.

Step-by-step explanation:

Find the midpoint of BC:

midpoint = (-1+5)/2, (2-2)/2 = (2, 0).

The slope of BC = (2 - -2) / (-1-5) = -2/3.

Find the equation of the right bisector of BC:

The slope = -1 / -2/3 = 3/2.

y-y1 = m(x-x1)

y - 0 = 3/2(x - 2)

y = 3/2x - 3.

Now find the equation of the median through C:

The midpoint of AB = (1 - 1)/2, (4+2)/2

= (0, 3).

The equation of the median:

The slope = (-2-3) / (5-0)

= -1.

The equation is:

y - 3 = -1(x - 0)

y -3 = -x.

Now we find the point of intersection by solving the 2 equations:

y - 3 = -x

y = 3/2x - 3

y = -x + 3

So:

3/2x - 3 = -x + 3

3/2x + x = 6

5/2 x = 6

x = 12/5.

y =  -12/5 + 3

= -12/5 + 15/5

= 3/5.

The sum of the coordinates = 12/5 + 3 /5

= 15/5

= 3.

3 0
3 years ago
on a piece of paper graph the system of equations then determine which answer choice matches the graph you drew and identify the
grigory [225]

Answer:

the solution is (-2,3)

Step-by-step explanation:

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7 0
3 years ago
A truck that is 12 ft. by 10 ft. by 15 ft. carries cube
kvasek [131]

Answer: 284 boxes in the shape of the cubes can be fitted in the truck.

Step-by-step explanation:

If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.

Dimensions of the truck given in the question,

Length = 10 feet, width = 12 feet and height = 8 feet

Since, volume of a cuboid (shape of a truck) is given by the expression,

Volume = Length × Width × Height

Therefore, volume of the truck = 10 × 12 × 8

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Volume of a cube is given by the expression,

Volume = (side)³

Therefore, volume of the cube with side length 1.5 feet will be,

Volume of a cube = (1.5)³

                             = 3.375 cubic feet

Let the number of cubes fitted in the truck = x

Therefore, volume of 'x' cubes = (3.375x) feet³

Since, volume of the truck = Volume of the cubes fitted

3.375x = 960

x =  960/3.375

x = 284.44

x ≈ 284

    Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.

5 0
1 year ago
Read 2 more answers
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