A teacher surveys 30 students on the number of books they read over the summer. The data

Use the coordinates of the labeled point to find the point-slope equation of the line

koban [17]

Answer:

A. y + 1 = -2(x-2)

Step-by-step explanation:

point-slope equation is : y - y1 = m (x -x1)

remember m= slope value

the given point is (2, -1) therefore we can substitute the values in:

y + 1 = m(x -2)

now to make sure our answer is complete we will solve for the slope:

looking back at the graph, the y-intercept value is 3, therefore we have a point of (0,3) and (2, -1)

with any two points you can determine a slope.

y2 - y1 / x2 - x1

therefore :

-1 -3 / 2 - 0

-4 / 2 = -2

therefore our m value is -2

this makes the completed point-slope equation:

y + 1 = -2 (x - 2) or A

3 0

1 year ago

The course length of the Boston Marathon is about 4.2×104 meters. The course length of the Iditarod Trail Invitational ultra-mar

GREYUIT [131]

Answer:

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

Step-by-step explanation:

Let

x -----> the length of the Boston Marathon in meters

y -----> the length of the Idita rod Trail Invitational ultra-marathon in meters

we have

$x=4.2*10^4\ m$

$y=1.6*10^6\ m$

we know that

To find out how many times as long is the course of the Idita rod Trail ultra-marathon as that of the Boston Marathon, divide the length of the Idita rod Trail Invitational ultra-marathon by the length of the Boston Marathon

so

$\frac{y}{x}$

$\frac{x}{y}=\frac{1.6*10^6}{4.2*10^4}$

Remember that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents

$\frac{1.6*10^6}{4.2*10^4}=\frac{1.6}{4.2}*(10^{6-4})=0.381*(10^{2})=38.1$

therefore

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

5 0

2 years ago

In a large city, 46% of adults support the local football team building a new stadium. If a poll is taken from a random sample o

Sveta_85 [38]

Answer: 0.46, 0.056, the distribution is approximately normal

Step-by-step explanation: The shape is approximately normal since the expected number of successes equals 36.8 and the expected number of failures equals 43.2 are both larger than 10

7 0

2 years ago

4. A cruise ship travels in the direction of 55degrees for 40 miles, then changes course to a direction of 100 degrees for 35 mi

olga2289 [7]

Answer:

69.3 mi

Step-by-step explanation:

Let x represent the distance of the ship from its original position.

x²= 40² + 35² -2(40)(35)cos(135)

$x^{2} =4804.9$

$\sqrt{x} ^{2} = \sqrt{4804.9}$

x= 69.3 mi

8 0

1 year ago

Bill launched a model rocket, and estimated its height h, In feet, after 1 seconds. His results are shown in the table

gizmo_the_mogwai [7]

Answer:

Bill launched a model rocket, and estimated its height h, In feet, after 1 seconds. His results are shown in the table

Time, 1 0 1 2 3 4

Height, h 0 110 190 240 255

Bill's data can be modeled by the function h(t) = -1612 + 128.

Which value is the best prediction for the height of the rocket after 5.5 seconds?

A 150 ft

B. 180 ft

C. 220 ft

D. 250 ft

E 260 ft

0 1

1 year ago