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2 years ago

Use substitution to solve the system {y=2x-4 {6x+4y=12

Mathematics

1 answer:

Luba_88 [7]2 years ago

6 0

Answer:

(2,0)

x=2 and y=0

Step-by-step explanation:

Hope this helps

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A number, one-fifth of that number, and one-sixth of that number are added. the result is 82. what is the original number?

rusak2 [61]

X + .2x + .(1/6) x = 82
x = 60

5 0

3 years ago

A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t

Solnce55 [7]

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

$h=-16t^2+200t$

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

$350=-16t^2+200t$

The last is a quadratic equation, which can be put in the form $at^2+bt+c=0$ and solved applying the formula:

$t=\frac{-b+-\sqrt{b^2-4ac} }{2a}$

So, let's put the equation on the form $at^2+bt+c=0$ adding $16t^2$ and subtracting $200t$ to each side of the equation; the result is:

$16t^2-200t+350=0$

So, we note that a=16, b=-200, and c=350.

Then,

$t_1=\frac{200-\sqrt{200^2-4*16*350} }{2*16}=2.10$

$t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40$

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

4 0

3 years ago

Help on this please.

dem82 [27]

Answer:

x = 46°

Step-by-step explanation:

the opposite angles of a cyclic quadrilateral are supplementary, sum to 180° , then

x + 134° = 180° ( subtract 134° from both sides )

x = 46°

8 0

2 years ago

For the Parabolay = (x – 7)2 – 3. the equation for the Line Of Symmetry is

devlian [24]

Answer:

x = 7

Step-by-step explanation:

y = (x – 7)^2 – 3

This equation is in vertex form

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

where (h,k) is the vertex

For a vertical parabola, the line of symmetry is x=h

x = 7

5 0

3 years ago

Suppose a cylinder has a diameter of 18 feet and a height of h feet. Which equation can be used to find V, the volume of the cyl

IrinaVladis [17]

Answer: option A

Step-by-step explanation:

The volume of a cylinder can be calculated with the formula:

$V=\pi r^2h$

Where r is the radius and h is the height of the cylinder.

The radius is diameter divided by 2, then:

$r=\frac{18ft}{2}\\\\r=9ft$

Substitute the radius into the formula. Then you get the following equation that can be used to find V, the volume of the cylinder:

$V=\pi (9)^2h$

3 0

3 years ago

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