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Brrunno [24]
4 years ago
5

Solve for X. (Picture)

Mathematics
1 answer:
Ahat [919]4 years ago
6 0

-2(7-4x)=\dfrac{1}{2}(4+16x)\qquad\text{use distributive property}\\\\(-2)(7)+(-2)(-4x)=\left(\dfrac{1}{2}\right)(4)+\left(\dfrac{1}{2}\right)(16x)\\\\-14+8x=2+8x\qquad\text{subtract 8x from both sides}\\\\-14=2\qquad FALSE!!!\\\\Answer:\ \boxed{no\ solution}

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A car travels 312 miles in the same time that a motorcycle traveled 272. If the cars speed is 10mph more than the motorcycles, f
dimaraw [331]

Answer: speed of the car is 88 miles per hour

the speed of the motorcycle is 78 miles per hour

Step-by-step explanation:

Number of miles travelled by car = 312

Number of miles travelled by motorcycle = 272

Let x = speed of the car

Let y = speed of the motorcycle

If the car's speed is 10mph more than the motorcycle's, it means

x = y + 10 - - -- - - 1

Time taken for car to travel 312 miles is distance /speed = 312/x

Time taken for motorcycle to travel 272 miles is distance /speed = 272/y

The car travels 312 miles in the same time that a motorcycle traveled 272.

This means

312/x = 272/y

312y = 272x

y = 272x/312

Substituting y = 272x/312 into equation 1, it becomes

x = 272x/312 + 10

312x = 272x + 3120

312x-272x = 3120

40x = 3120

x = 3120/40 = 78 miles per hour

x = y + 10 = y + 78

x = 88 miles per hour

3 0
3 years ago
Hey conic section has the equation X+Y^2+ 12X + 8y= 48 determine the following type of conic domain and range axis of symmetry a
Afina-wow [57]

Answer:

Axis of symmetry are lines x=-6 and y=-4, center  (-6,-4)

Step-by-step explanation:

Consideer the equation x^2+y^2+12x+8y=48.

First, complete perfect squares:

(x^2+12x)+(y^2+8y)=48,\\ \\(x^2+12x+36-36)+(y^2+8y+16-16)=48,\\ \\(x+6)^2+(y+4)^2-36-16=48,\\ \\(x+6)^2+(y+4)^2=100.

This equation represents a circle with center at point (-6,-4) and radius r=10.

Axis of symmetry are lines x=-6 and y=-4 (vertical and horizontal lines passing through the center).

5 0
4 years ago
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