Use the distributive property to write an equivalent expression -3(2x + 11)

1 answer:

4 0

Multiply the -3 by everything inside so do -3 x 2x which would be -6x then do -3 x 11 which is -33 so the equation would be -6x-33

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The median of the set {0, 0, 4, 6, 6, 8} is

alukav5142 [94]

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3 years ago

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Question 2 of 4

Alexxandr [17]

Answer:

The time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.

Step-by-step explanation:

The function for the height of the bottle rocket (in feet), <em>t</em> seconds after it is launched is:

$h(t)=1157-16\ t$

Compute the value of <em>t</em> as follows:

$h(t)=1157-16\ t$

$200=1157-16t$

$16t=1157-200\\16t=957\\$

$t=59.8125\\t\approx60$

Thus, the time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.

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3 years ago

Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?

d1i1m1o1n [39]

Given equation of the Circle is ,

$\sf\implies x^2 + y^2 = 25$

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

$\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2$

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

$\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }$