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postnew [5]
4 years ago
15

What is the equation of a line parallel to the x-axis that passes though the point (4,5)? What is the slope of this line

Mathematics
1 answer:
nignag [31]4 years ago
5 0

Answer:

y = 5

slope = 0

Step-by-step explanation:

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What is the probality of rolling a sum of 5 if two regular 6 -sides number cubes are rolled
Dmitry [639]

Each die has six numbers, the total number of possible combinations is 6 * 6 = 36


The combinations in which you can get a sum of 5 are:  1 &4, 2 & 3, 4 &1, 3 &2

There are 4 different combinations of getting a sum of 5.


The probability would be 4/36, which reduces to 1/9

8 0
3 years ago
Look at the picture ​
Nikitich [7]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
When graphing (16, 32), (–10, 11), (4, –27), and (–7, –5), select the most appropriate scale for
Masja [62]

Answer:

yuh

Step-by-step explanation:

3 0
3 years ago
A baseball is hit into the​ air, and its height h in feet after t seconds is given by h(t)= -16t^2+128t+2. The height of the bas
tankabanditka [31]

Answer:

\large \boxed{\sf \ \text{2 feet, 4 seconds, 258 feet } \ }

Step-by-step explanation:

Hello,

To know the height of the baseball when it is hit we have to compute h(0), as t = 0 is when the baseball is hit into the air.

h(0)=-16\cdot 0^2+128 \cdot 0+2=2

So, the answer is <u>2 feet.</u>

<u />

h(x) is a parabola which can be written as ax^2+bx+c, it means that the vertex is the point (-b/2a,h(-b/2a)).

The baseball reached its maximum height after

   \dfrac{-b}{2a}=\dfrac{-128}{-2*16}=\boxed{4 \text{  seconds}}

And the maximum height of the baseball is h(4).

h(0)=-16\cdot 4^2+128 \cdot 4+2=-256+512+2=\boxed{258 \ \text{feet}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
10) Gabe put up a fence around his rectangular vegetable garden this weekend.
dybincka [34]

Answer:

The length is 16 ft, and the width is 3 ft.

Step-by-step explanation:

Let L = length & let W = width.

The perimeter of a rectangle is

P = 2(L + W)

The area of a rectangle is

A = LW

We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.

Perimeter: 2(L + W) = 38

Divide both sides by 2:

L + W = 19

Area: LW = 48

We have a system of two equations in two unknowns:

L + W = 19

LW = 48

Solve the first equation for L and substitute it into the second equation.

L = 19 - W

(19 - W)W = 48

19W - W^2 - 48 = 0

Multiply both sides by -1, and rearrange the order of the terms.

W^2 - 19W + 48 = 0

(W - 16)(W - 3) = 0

W - 16 = 0 or W - 3 = 0

W = 16 or W = 3

Use W = 3 to find L

L = 19 - W

L = 19 - 3

L = 16

Answer: The length is 16 ft, and the width is 3 ft.

3 0
3 years ago
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