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bixtya [17]
2 years ago
10

What is the slope of the line that passes through the points (-5,9) and (5,11)?

Mathematics
1 answer:
Minchanka [31]2 years ago
4 0
The slope is 1/5


I hope this helps!!!!
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A scuba diver descends in the water at a rate of 20 1/2 feet per minute for 2.8 minutes. He immediately changes course when he s
N76 [4]

Answer:

  • 7.4 feet below sea level

Step-by-step explanation:

Assumed the starting point is the sea level 0.

<u>After 2.8 min the diver is at position:</u>

  • 20 1/2 * 2.8 =
  • 20.5 * 2.8 =
  • 57.4 feet below sea level

<u>The position change after next 2 minutes:</u>

  • 25*2 = 50 feet

<u>The position of the diver after 4.8 min:</u>

  • 57.4 - 50 = 7.4 feet below sea level
3 0
2 years ago
Im so confused. :/ Anyone?
ArbitrLikvidat [17]
First one = 9x3=27

Second one 12x9=108

3rd one = 3x4=12
 
Idk what that last one is
7 0
3 years ago
Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,ax
Ivan

Given:

The function is:

f(x)=-2x^2+7x+4

To find:

Express the quadratic equation in the form of f(x)=a(x-h)^2+k, then state the minimum or maximum value,axis of symmetry and minimum or maximum point.

Solution:

The vertex form of a quadratic function is:

f(x)=a(x-h)^2+k              ...(i)

Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.

We have,

f(x)=-2x^2+7x+4

It can be written as:

f(x)=-2\left(x^2-3.5x\right)+4

Adding and subtracting square of half of coefficient of x inside the parenthesis, we get

f(x)=-2\left(x^2-3.5x+(\dfrac{3.5}{2})^2-(\dfrac{3.5}{2})^2\right)+4

f(x)=-2\left(x^2-3.5x+(1.75)^2\right)-2\left(-(1.75)^2\right)+4

f(x)=-2\left(x-1.75\right)^2+2(3.0625)+4

f(x)=-2\left(x-1.75\right)^2+6.125+4

f(x)=-2\left(x-1.75\right)^2+10.125                ...(ii)

On comparing (i) and (ii), we get

a=-2,h=1.75,k=10.125

Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.

Maximum value = 10.125

Axis of symmetry : x=1.75

Maximum point = (1.75,10.125)

Therefore, the vertex form of the given function is f(x)=-2\left(x-1.75\right)^2+10.125, the maximum value is 10.125, the axis of symmetry is x=1.75 and the maximum point is (1.75,10.125).

8 0
3 years ago
Solve the equation above
saveliy_v [14]

Answer:

X = -2

Step-by-step explanation:

1/2 X (5X-8) = -9

multiply both sides of the equation by 2

2 X 1/2 X (5X - 8) = 2 X (-9)

1 X (5X - 8) = 2 X (-9)

Reduce the numbers with the greatest common divisor 2

5 x -8 = 2 x (-9)

5 x -8 = -18

Move constant to the right by adding its opposite to both sides

5X -8 + 8=-18 + 8

Then eliminate the opposites

5X = -18 + 8

Calculate the sum

5X = -10

Divide both sides of the equation by 5

5X DIVIDE 5 = -10 DIVIDE BY 5

X = -10 DIVIDE BY 5

X = -2

5 0
3 years ago
5 x 10^5 is how many times as large as 1 x 10^5?
Oxana [17]

Answer:

  5 times as large

Step-by-step explanation:

You can think of "10^5" as "green marbles" if you like. Then your question is ...

  5 green marbles is how many times as large as 1 green marble.

Hopefully, the answer is all too clear: it is 5 times as large.

_____

In math terms, when you want to know how many times as large y is as x, the answer is found by dividing y by x:

  y/x . . . . . tells you how many times as large as x is y.

Here, that looks like ...

  \dfrac{5\times 10^5}{1\times 10^5}\\\\=\dfrac{5}{1} \qquad\text{the factors of $10^5$ cancel}\\\\=5

4 0
2 years ago
Read 2 more answers
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