2 years ago

What is the slope of the line on the graph? 1/2 2 -2 -1/2

Mathematics

1 answer:

Sav [38]2 years ago

8 0

Answer: $\frac{1}{2}$

Step-by-step explanation:

to find the slope use the formula $\frac{rise}{run}$

in this case, the line goes up 1 unit and to the right two

this means the slope is :

⇒ $\frac{1}{2}$

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If a certain cannon is fired from a height of 8.8 meters above the ground, at a certain angle, the height of the cannonball ab

Dennis_Churaev [7]

Answer:

It would take approximately 6.50 second for the cannonball to strike the ground.

Step-by-step explanation:

Consider the provided function.

$h(t)=-4.9t^2+30.5t+8.8$

We need to find the time takes for the cannonball to strike the ground.

Substitute h(t) = 0 in above function.

$-4.9t^2+30.5t+8.8=0$

Multiply both sides by 10.

$-49t^2+305t+88=0$

For a quadratic equation of the form $ax^2+bx+c=0$ the solutions are: $x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substitute a = -49, b = 305 and c=88

$t=\frac{-305+\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}=-\frac{-305+\sqrt{110273}}{98}\\t = \frac{-305-\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}= \frac{305+\sqrt{110273}}{98}$

Ignore the negative value of t as time can't be a negative number.

Thus,

$t=\frac{305+\sqrt{110273}}{98}\approx6.50$

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.

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3 years ago

What is the value of x in this figure?

Arte-miy333 [17]

Answer:

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Step-by-step explanation:

We two lines cross over each other, making four angles, the angles opposite each other are equal. They're called vertically opposite angles.

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3 years ago

What is the slope of the line on the graph? 1/2 2 -2 -1/2​

What is the slope of the line on the graph? 1/2 2 -2 -1/2