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3 years ago

Texas has an area of 268,581 square miles and a population of 26,059,203 people. Vermont

Mathematics

1 answer:

jeka57 [31]3 years ago

7 0

Answer:

has an area 26,059,203 people that are not in the office

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confirm or disprove ernest's work by selecting two different points and applying the slope formula. be sure to identify the poin

yan [13]

Answer:

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Step-by-step explanation:

The picture of the question in the attached figure

The complete question is

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

A(60,900),B(15,450)

Remember that

$m_A_B=m_B_A$

step 1

Find $m_A_B$

substitute in the formula

$m_A_B=\frac{450-900}{15-60}\\\\m_A_B=\frac{-450}{-45}=10$

step 2

Find $m_B_A$

substitute in the formula

$m_B_A=\frac{900-450}{60-15}\\\\m_B_A=\frac{450}{45}=10$

therefore

Ernest's calculation was correct, because $m_A_B=m_B_A$

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

$m=\frac{800-300}{50-0}$

$m=\frac{500}{50}$

$m=10$

therefore

Ernest's calculation was correct

8 0

3 years ago

Help plz!!!!!!!!! (pic below)

viktelen [127]

Answer:

k = 13.5

Step-by-step explanation:

Since 3 * 3 = 9

And 3 * 4 = 12

Then 3* 4.5 = 13.5

As the statement goes, "Triangle XYZ is similar to Triangle ABC."

4 0

3 years ago

Read 2 more answers

Which set of side lengths defines a right triangle?

Snowcat [4.5K]

In a right triangle, the square of the largest side is equal to the sum of the squares of the smaller sides, so if you plug the sides in to that equation, you should get zero if those sides form a right triangle.
B is the only option where this is true, so I believe set B defines a right triangle.

4 0

3 years ago

Read 2 more answers

Solve. 8 - 2d = c 4c + 3d = 2 c=4 d = -6 C=-4 d = 6 C=4 d = 6 C=-4 d = -6

dlinn [17]

Answer:

c = -4 d = 6

Step-by-step explanation:

8 - 2d = c 4c + 3d = 2

4(8 - 2d) + 3d = 2

32 - 8d + 3d = 2

32 - 5d = 2

-5d = -30

d = 6

8 - 2(6) = c

8 - 12 = -4 = c

3 0

3 years ago

1. Practicando: expresa en lenguaje algebraico.

Natasha_Volkova [10]

Answer:

Part 1) $3n$

Part 2) $4n$

Part 3) $\frac{2}{3}n$

Step-by-step explanation:

The question in English is

Expressed in algebraic language.

Symbolically write the following expressions:

Three times a number:

Four times a number:

Two-thirds of a number

Let

n ----> the number

Part 1) we have

Three times a number:

we know that

The algebraic expression is equal to multiply 3 by the number n

$3n$

Part 2) we have

Four times a number:

we know that

The algebraic expression is equal to multiply 4 by the number n

$4n$

Part 3) we have

Two-thirds of a number

we know that

The algebraic expression is equal to multiply the fraction 2/3 by the number n

$\frac{2}{3}n$

8 0

4 years ago