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3 years ago

A water balloon is catapulted into the air so that it's height, in meters, after t seconds is h = -4.9t^ +27t +2.4

1 answer:

6 0

$h = -4..9t^2+27t+2.4\ for\ t=3$

Just replace t with 3 and solve.

$h = -4.9*3^2 + 27*3 + 2.4 \\ h = -4.9*9 + 27*3 + 2.4 \\ h=-44.1 + 81 + 2.4 \\ \boxed{h=39.3}$

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Find the equation of the line that is perpendicular to y =

Rom4ik [11]

Assuming you meant y=3/4x-3, the answer is y=-4/3x-3

3 0

2 years ago

Read 2 more answers

You need to rent a moving truck for a day. You have identified two companies that rent trucks company A charges $50 per day plus

olya-2409 [2.1K]

A=50+0.10m
b=20+0.20m

50+0.10m=20+0.20m then you move the 20 over
30+0.10m=0.20m the you move the 0.10m over
30=0.10m then move the 10 over again
=300m

7 0

2 years ago

15) The sum of one-fourth, one-ninth and one- third of a number is 25. Find the number.

klio [65]

Answer:

Step-by-step explanation:

(1/4 + 1/9 + 1/3)x = 25.

x = 36

7 0

2 years ago

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What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0

Tom [10]

Answer:

$x=\frac{-7-\sqrt{5}}{2}$ or $x=\frac{-7+ \sqrt{5}}{2}$

Step-by-step explanation:

The given equation is

$(2x+3)^2+8(2x+3)+11=0$

Let us treat this as a quadratic equation in $(2x+3)$ .

where $a=1,b=8,c=11$

The solution is given by the quadratic formula;

$(2x+3)=\frac{-b\pm \sqrt{b^2-4ac} }{2a}$

We substitute these values into the formula to obtain;

$(2x+3)=\frac{-8\pm \sqrt{8^2-4(1)(11)} }{2(1)}$

$(2x+3)=\frac{-8\pm \sqrt{64-44} }{2}$

$(2x+3)=\frac{-8\pm \sqrt{20} }{2}$

$(2x+3)=\frac{-8\pm2\sqrt{5} }{2}$

$(2x+3)=-4\pm \sqrt{5}$

$(2x+3)=-4-\sqrt{5}$ or $(2x+3)=-4+ \sqrt{5}$

$2x=-3-4-\sqrt{5}$ or $2x=-3-4+ \sqrt{5}$

$2x=-7-\sqrt{5}$ or $2x=-7+ \sqrt{5}$

$x=\frac{-7-\sqrt{5}}{2}$ or $x=\frac{-7+ \sqrt{5}}{2}$

5 0

3 years ago

Y=1/2x +5<br> Y=-3/2x-7<br> Find x and y

gayaneshka [121]

I'm going to use the substitution method.

If y = - 3/2 - 7, then:

1/2x + 5 = - 3/2x - 7

Combine like terms:

4/2x = - 12. Mutiply both sides by 2/4 to get x = -12 (2/4)

Simplify to get:

x = - 6.

Plug - 6 back in for x in either equation.

Y = 1/2( - 6) + 5 which becomes Y = - 3 + 5.

X = - 6, Y = 2

8 0

3 years ago