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4 years ago

Which equation represents a line that passes through (2-3) and has a slope of 5?

Mathematics

1 answer:

larisa [96]4 years ago

6 0

Answer:

y=5x-13

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=5(x-2)

y+3=5(x-2)

y=5x-10-3

y=5x-13

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a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches. Find the angle between the diagonal of the box

ANTONII [103]

Answer:

0.7246 radians

Step-by-step explanation:

According to the Question,

Given that, a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches

The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:

d = √{ (12)² +(15)² } = √(144+225) = √369inches

The tangent of the angle is the ratio of the height of the box to this length

Tan∅ = 17/√369

Taking the $Tan^{-1}$ , we have

∅ = $Tan^{-1}$ (17/√369) ≈ 0.7246 radians

4 0

3 years ago

Jamal has $15.00 to spend at the concession stand. He buys nachos for $7.50, and he wants to purchase some sour straws for $1.50

GalinKa [24]

Answer:

x = 5

$15.00 is the total amount of money Jamal has right? To find the remaining amount of money Jamal has subtract 15 - 7.5 (price of nachos) = 7.5 (remaining amount of money Jamal has.) Now for part 2, since the sour straws are $1.50 each you just have to multiply X to get close as close to the remaining amount of money as possible.

1.50× 5 (amount of sour straws) is equal to 7.50 (price of 5 sour straws).

To check your answer let's add the price of nachos (7.50) and 5 sour straws (7.50) which is 15.00 the total amount Jamal brought with him.

Let me know if you have any other questions :)

4 0

3 years ago

Read 2 more answers

Which of these shows the following expression factored completely? 6x2 – 13x +5

stiks02 [169]

Answer:

Step-by-step explanation:

That's my guess.

7 0

3 years ago

Peyton is collecting data on the lunch habits of students at Hyattsville Middle School. In one class, 14 students bring lunch fr

mart [117]

Answer:

Answer: Around 1000 students would buy a school lunch.

Step-by-step explanation:

We know that in one class, 14 students bring lunch from home, and 20 buy lunch in the school. This will be our sample.

In total we have 20 + 14 = 34 students, this will be our 100%.

The percentage of students that bring lunch from home can be estimated as the quotient between the number of students that bring lunch from home and the total number of students, times 100%.

p1 = (14/34)*100% = 41.18%

And the percentage of students that buy lunch at school can be computed in the same way:

p2= (20/34)*100% = 58.82%

Then, out of the 1700 students in middle school, we can estimate that around 58.82% of them will buy lunch in the school.

Then the exact number will be:

N = (58.82%/100%)*1700 = 1000

Around 1000 students would buy a school lunch.

7 0

3 years ago

What is the equation of the line that passes through the point (3,4) and has an undefined slope?

rosijanka [135]

Answer:

The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3

Step-by-step explanation:

The slope of the horizontal line is zero

The equation of the horizontal line passes through the point (a, b) is y = b

All the points on the horizontal line have the same y-coordinates

The slope of the vertical line is undefined

The equation of the vertical line passes through the point (a, b) is x = a

All the points on the vertical line have the same x-coordinates

Let us solve the question

∵ The line has an undefined slope

∴ The line is a vertical line

∵ The equation of the vertical line is x = a, where a is the x-coordinate

of any point on the line

∵ The line passes through the point (3, 4)

∴ a = 3

∴ The equation of the line is x = 3

The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3

5 0

3 years ago