The speed in miles per hour of each of sams last pitch were recorded (82,78,83,80,75,82,79,80,83,81)

The slope of the line is 2. Why? Well, see below for an explanation!

The slope of a line is found by using the formula rise/run (rise over run). This means that by starting at the initial value of the y-intercept, 3, we would count how many units away we are from the next complete point. We do so by counting from left to right, and in this case, going up and then to the right. To get from the point (0, 3) to the point (1, 5), we would move two spaces vertically along the y-axis and one space horizontally along the x-axis. Because the slope of the line is found using the formula m = rise over run, the slope would be 2/1 because we went up 2 points and to the right one. When simplifying, we will find that 2 divided by 1 equals 2. Hence, our slope is 2.

Your final answer: The slope of the line is 2/1 or 2. If you need extra help, let me know and I will gladly assist you.

8 0

1 year ago

ABCD is a trapezium with AB parallel to CD. Find the value of x and the value of y.

Natasha2012 [34]

Answer:

x = 107 , y = 60

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side, then

x + 73 = 180 ( subtract 73 from both sides )

x = 107

and

y + 2y = 180

3y = 180 ( divide both sides by 3 )

y = 60

3 0

3 years ago

One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm.

ikadub [295]

Answer:

$\boxed {\boxed {\sf 14.2 \ cm}}$

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

$a^2+b^2=c^2$

where a and b are the legs and c is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:

a= 9 cm
b= 11 cm

Substitute these values into the formula.

$(9 \ cm)^{2} +(11 \ cm)^{2} =c^{2}$

Solve the exponents.

(9 cm)²= 9 cm*9 cm=81 cm²

$81 \ cm^{2} +(11 \ cm)^{2} =c^{2}$

(11 cm)²= 11 cm*11 cm= 121 cm²

$81 \ cm^{2} +121 cm^{2} =c^{2}$

Add the values on the left side.

$202 \ cm^{2} =c^{2}$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }$

$\sqrt {202 \ cm^{2} }=c$

$14.2126704036 \ cm =c$

We are told to round to the nearest tenth.

14.2126704036

The 1 in the hundredth place tells us to leave the 2 in the tenth place.

$14.2 \ cm= c$

The hypotenuse is equal to 14.2 centimeters.

3 0

3 years ago