What is the slope of the line on the graph below?On a coordinate plane, a line goes through points (0, negative 5), (3, negative 4), and (6, negative 3).

Answers

Answer 1

Answer:

The slope of a linear line which is passing through the lines (0,-5), (3, -4) , (6,3) is 1/3. The slope of a straight line is the ratio of y values of two points to the difference in x values of the two points.

What is slope ?

In mathematics, slope of a line describes the steepness or inclination and the direction of the line. Slope of a line is calculated based on the characteristic of the line.

For straight line passing through some points, the x and y coordinates are related by the following expression:

y = mx +c

Where c is the intercept m be the slope.

For a line passing through two points, the slope m is :

m = y2 - y1 / (x2- x1)

Consider the line passing through the points (0, -5) and (3, -4). The slope m = -4 - (-5) / (3 - 0) = 1/3

Similarly if we consider the points (3, -4) and (6, -3) we get the same slope 1/3.

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Answer 2

Answer:

Answer:

i think the answer is 1/3 but i'm not positive

Step-by-step explanation:

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8(j-4)=2(aj-16) Is this Infinite Solutions

Answers

8(j - 4) = 2(aj - 16)
4(j - 4) = aj - 16
4j - 16 = aj - 16
4j = aj
4j - aj = 0
j(4 - a) = 0
j = 0

The answer is: j = 0.

Duffy was analyzing the trajectory made after throwing a football. his coach was able to measure that his throw reached a maximum height of 18 feet after 2 seconds. he figured that the ball left his hand at a height of 5 feet. Let the independent variable represent time and the dependant variable represent height of the ball. Use this information to write an equation to model the path of the ball and predict when the ball will hit the ground the ball will hit the ground at approximately ________ seconds

Answers

Answer:

4.35 seconds.

Step-by-step explanation:

Let x represent the time the independent variable and y be dependent variable (height of the ball).

We are told that Duffy figured that the ball left his hand at a height of 5 feet. This means at x equals 0, y was 5 or initial height of ball is 5 feet.

We have been given that Duffy's coach measured that his throw reached a maximum height of 18 feet after 2 seconds. This means that at x equals 2 y was 18.

As point (2,18) represents maximum height of ball, so it will be vertex of parabola.

Since initial height of ball is less than maximum height, so our parabola will be downward opening and leading coefficient will be negative.

We know that vertex form of a downward opening parabola is in form: $y=-a(x-h)^2+k$

$y=-a(x-2)^2+18$

Let us find value of a using point (0,5).

$5=-a(0-2)^2+18$

$5=-a*4+18$

$5-18=-a*4+18-18$

$-13=-4a$

$(-13)/(-4)=(-4a)/(-4)$

$(13)/(4)=a$

Therefore, the equation $y=-((13)/(4))(x-2)^2+18$ can be used to find the height of ball after x seconds.

To find the time it will take the ball to hit the ground, we will substitute y equals 0 in our equation.

$0=-((13)/(4))(x-2)^2+18$

$0-18=-((13)/(4))(x-2)^2+18-18$

$0-18=-((13)/(4))(x-2)^2$

$-18*((4)/(13))=-(x-2)^2$

$(72)/(13)=(x-2)^2$

Taking square root of both sides of our equation we will get,

$\sqrt{(72)/(13)}=x-2$

$x-2\pm 2.35339$

$x-2=2.35339\text{ (or) } x-2=2.35339$

$x-2+2=2.35339+2\text{ (or) } x-2+2=-2.35339+2$

$x=4.35339\text{ (or) } x=-0.35339$

$x\approx 4.35\text{ (or) } x\approx -0.35$

Since time can not be negative, therefore, the ball will hit the ground approximately after 4.35 seconds.

Chase collects $27.34 for a fundraiser Sydney collects$9.83 more than Chase ally collects 4times as much as Sydney. how much does ally collects. please explain by step by step guide me to

Answers

So Chase has $27.34.
You add $27.34 to $9.83. (Which is $37.17).
That will give you the amount of how much Sydney has.
To find how much Ally has you times $37.17 by 4.
Basically, you are doing $37.17 + $37.17 + $37.17 + $37.17.
When you have finished adding them you will get the answer.
So the answer is $148.68

Chase collects $27.34 and Sydney got $9.83 more. So you add $27.34 and 9.83 given Sydney a total of $37.17. Therefore if Ally collected 4 times more than Sydney you will multiply $37.17 by 4 given Ally a total of $148.68

Two right circular cylinders have the same volume. The radius of the second cylinder is 10% more than the radius of the first. What is the relationship between the heights of the two cylinders?

Answers

the first one is 21% more than the second
Hope this helped.

Scientific notation of 0.000105

Answers

1.05 * 10^-4 is the answer. When you move the decimal to the right the power is negative. Also, there needs to be at least one number in front of the decimal to make it a scientific notation.

Find the value of z