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3 years ago

This question is asking me to “Identify whether each of the following is a linear function

Mathematics

2 answers:

mixer [17]3 years ago

7 0

1 is not a linear function because it’s not a straight line since it curves as u can see

Ulleksa [173]3 years ago

4 0

Rember the vertical line test and the horizontal line test when checking if graphs are functions

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A person who is 1.5 meters tall casts a shadow that is 8 meters long. The distance along the ground from the person (N) to the f

Elena-2011 [213]

AA Theorem: To show two triangles are similar, it is sufficient to show that two angles of one triangle are congruent (equal) to two angles of the other triangle. All three triangles have a right angle and they all share the common angle at point S.

Flagpole is 32 meters from point S: so 1.5/8 = x/32 where x is FG
cross-multiply: 32 • 1.5 = 8x
48 = 8x
x = 6 meters

building is a total of 240 meters from point S, so: 1.5/8 = x / 240 where x is BD
cross-multiply: 240 • 1.5 = 8x
360 = 8x
<span>x = 45 meters</span>

7 0

3 years ago

Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.

AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning = 9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

$\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}$

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

And, returned over the same road at the rate of 40 mph.

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )

⇒ $\frac{x}{40}-\frac{x}{45}=\frac{1}{2}$

⇒ $\frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}$

⇒ $\frac{x}{360} = \farc{1}{2}$

⇒ $2x=720$

⇒ $x=360\text{ miles}$

Hence, the total distance from home to New York = x miles = 360 miles

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

$=\frac{360}{45}=8\text{ hours}$

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

$=\frac{360}{40}=9\text{ hours}$

3 0

3 years ago

find the area of a right angle triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long

Lelu [443]

Answer:

30 cm^2

Step-by-step explanation:

a = 13 cm

b = 12 cm

using Pythagorean theorem:

a^2 = b^2 + c^2

--> c^2 = a^2 - b^2 = 13^2 - 12^2 = 169 - 144 = 25

--> c = √25 = 5

The area of that right triangle is:

S = b.c / 2 = 12 . 5 / 2 = 30 (cm^2)

6 0

2 years ago

You have been asked to build a scale model of your school out of toothpicks. imagine your school is 30 feet tall. your scale is

sveticcg [70]

Since your scale is 1ft:1.26cm, a 30-ft tall school would need to have a $30*1.26=37.8$ cm model. Dividing this by how tall each toothpick is, you'll get:

$\frac{37.8}{6.3} =6$

ANSWER: The model would be 6 toothpicks tall.

To find out how many cotton swabs you'll need, we just divide 37.8 by how tall each swab is:

$\frac{37.8}{7.7} =5$

ANSWER: The model would be 5 cotton swabs tall.

4 0

3 years ago

How do you write 608,000 in scientific notation

baherus [9]

6.08*10^5
hope this helps u out :D

3 0

3 years ago

Read 2 more answers