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tresset_1 [31]
3 years ago
8

In 16 years, Ben will be 3 times as old as he is right now.

Mathematics
1 answer:
Luda [366]3 years ago
3 0

Answer:

he is 8

Step-by-step explanation:

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What does it mean to eliminate a variable?
uranmaximum [27]

Answer:

The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation.

So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation. And since x + y = 8, you are adding the same value to each side of the first equation.

7 0
2 years ago
How many solutions does this system of linear equations have? Explain. 3y + 6x = 12 8x + 4y = 16
Vilka [71]

Answer:

first equation : 3y + 6×=12

second equation : 4y + 8x = 16

Step-by-step explanation:

first equation

3y + 6× = 12

now take the common ,

3( y + 2x ) = 12

so, y + 2x = 4

second equation

4y + 8x = 16

4 ( y + 2x ) = 16

so, y + 2x = 4

two lines with same equation have infinitely many solution . these two equations are the same so there are infinitely many solution .

3 0
3 years ago
A car is driving at 65 kilometers per hour. How far, in meters, does it travel in 4 seconds?
Mumz [18]

Answer:

72.2 m

Step-by-step explanation:

65 km/1 h = (65000 m / 3600s) = 18.05 m/s

Distance = speed * time = 18.05 m/s*4 s = 72.2 m

8 0
3 years ago
Find the equation of the tangent line and normal line to the curve y=(6+4x)2 at the point (6,900). Write the equations of the li
Ksenya-84 [330]

Answer:

Equation of the tangent to the curve

y = 240x - 215994

Equation of the normal

y = (-1/240)x + 9.75 = - 0.00417x + 9.75

Step-by-step explanation:

y = (6 + 4x)² = 36 + 48x + 16x² = 16x² + 48x + 36

dy/dx = 32x + 48

At the point (6,900),

dy/dx = 32(6) + 48 = 240

Equation of the tangent at point (a,b) is

(y - b) = m(x - a)

a = 6, b = 900, m = 240

y - 6 = 240(x - 900)

In the y = mx + b form,

y - 6 = 240x - 216000

y = 240x - 215994

The slope of the normal line = -(1/slope of the tangent line) (since they're both perpenducular to each other)

Slope of the normal line = -1/240

Equation of normal

y - 6 = (-1/240)(x - 900)

y - 6 = (-x/240) + 3.75

y = (-1/240)x + 9.75

y = - 0.00417x + 9.75

8 0
3 years ago
Find the difference.<br><br> Show your work<br><br> -3/4 - 4/3
myrzilka [38]

Answer:

-25/12

Step-by-step explanation:

I assume you want to subtract 4/3 from -3/4   OR   combine -3/4 and -4/3.

Here the LCD is (4)(3) = 12.

Then -3/4 becomes -9/12 and -4/3 becomes -16/12.  

Then -9/12 - 16/12 = -25/12

6 0
3 years ago
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