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professor190 [17]
3 years ago
14

0,4 5,3 ,1 reflected over the x axis

Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:

5 I am pretty sure sorry If it wrong

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Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another planet would be abo
vlabodo [156]
160/140 = x/56
cross multiply
(140)(x) = (160)(56)
140x = 8960
x = 8960/140
x = 64 lbs <== Vince's weight on the other planet
5 0
3 years ago
Read 2 more answers
1. Write as a base with a positive exponent, then evaluate. Write your final answer as a
vodomira [7]

Answer:

Well a base with a positive exponent would be 5^3. All this means is 5x5x5 which is 125.

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
The area of a rectangle is 52 m2 , and the length of the rectangle is 5 m less than double the width. Find the dimensions of the
kotegsom [21]
52m^2= 2[(x-5)+(x)]. 52m^2= 2(2x-5). 52m^2=4x-10
7 0
3 years ago
7a+5=61 what is a in the equation
MrRa [10]

Answer:

a=8

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I needs help with it ​
Slav-nsk [51]

Answer:

a)  initial height = 0 m

b)  8 s

c)  vertex = (4, 32)

    maximum height = 32 m

Step-by-step explanation:

<u>Given equation</u>:

h=-2t^2+16t

where:

  • h is the height of the arrow about the ground (in metres)
  • t is the time (in seconds)

<h3><u>Part (a)</u></h3>

The initial height of the arrow will be at the beginning of its journey, so when t = 0

Substitute t = 0 into the equation and solve for h:

\implies h=-2(0)^2+16(0)

\implies h=0

Therefore, the initial height of the arrow is 0 m.

<h3><u>Part (b)</u></h3>

The arrow will hit the ground when the height is 0 m.

Substitute h = 0 into the given equation:

\implies -2t^2+16t=0

Factor out -2t:

\implies -2t(t-8)=0

Therefore:

\implies -2t=0 \implies t=0

And:

\implies t-8=0 \implies t=8

Therefore, the arrow will hit the ground at 8 seconds.

<h3><u>Part (c)</u></h3>

The vertex is the <u>turning point</u> of a parabola - it's minimum or maximum point.

As the leading coefficient for the given equation is <u>negative</u>, the parabola <u>opens downwards</u> and so its <u>vertex</u> is its <u>maximum point</u>.

There are different ways to find the vertex of a parabola. The easiest way to find the x-coordinate is by calculating the midpoint of the x-intercepts.

We have determined that the arrow has a height of 0 m at 0 seconds and 8 seconds.  Therefore, t = 0 and t = 8 are the x-intercepts.  The midpoint is halfway between zero and 8, so the midpoint is t = 4

To find the y-coordinate, substitute t = 4 into the equation and solve for h:

\implies h=-2(4)^2+16(4)

\implies h=-32+64

\implies h=32

Therefore, the coordinates of the vertex are (4, 32)

The maximum height is the y-coordinate of the vertex.

Therefore, the maximum height is 32 m

6 0
1 year ago
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