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2 years ago

What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)?

Mathematics

1 answer:

skelet666 [1.2K]2 years ago

5 0

Answer:

right triangle

tep-by-step explanation:

i just took the test and worked this out

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In a small town, the use of coal (W in tons/per

zimovet [89]

Answer:

i)W = 2500 / T

ii) W = 500 Tons

iii) grad W(10°) = - 25î

iv) The formulation is not practical

Step-by-step explanation:

i) Write an equation describing the use of coal

As use of coal is inversely proportional to the average monthly temperature

if W is use of coal in tons/per month then

W(t) = k / T where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions

k = ?? we know that when T = 25° W = 100 tons the by subtitution

W = k/T 100 = k /25 k = 2500 Tons*degree

Then final equation is:

W = 2500 / T

ii) Find the amount of coal when T = 5 degrees

W = 2500 / 5

W = 500 Tons

iii)

The inverse proportionality implies that W will decrease as T increase.

The vector gradient of W function is:

grad W = DW(t)/dt î

grad W = - 2500/T² î

Wich agrees with the fact that W is decreasing.

And when T = 100°

grad W(10°) = - 2500/ 100 î ⇒ grad W(10°) = - 25î

iv) When T = 0 The quantity of coal tends to infinite and the previous formulation is not practical

5 0

3 years ago

The opposite of -10 is 1.-(-(-10)) 2.-10 3.10 4.-|10|

IRISSAK [1]

3. 10 because the opposite of a negative is a positive number

5 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B12%7D%20%2B4%5Csqrt%7B25%7D%20-%5Csqrt%7B108%7D%20-%5Cfrac%7B1%7D%7B4%7D%20%5Csqrt%7

Eduardwww [97]

20−6√3

Step by step Explanation:

√12+4√25−√108−1/4 √192

2√3+4×5-√108-2√3

2√3+20-√108-2√3

20−6√3

7 0

2 years ago

Read 2 more answers

Use synthetic division and the Remainder Theorem to find f(4) if f(x) = – 2x3 + 9x2

Elis [28]

Step-by-step explanation:

Let's see. f(4) makes the divisor x-4

4|-2 9 -6 7

| 8 -68 296

-2 17 -74 2072

The quotient is -2x²+17x-74 with a remainder of 2072

6 0

2 years ago

On a recent day, 8 euros were worth $9 and 24 euros were worth 27.

nikitadnepr [17]

This question is incomplete, here is the complete question:

On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.

The equation that represents the relationship between the number of euros and the value in dollars is y = 1.125 x

Step-by-step explanation:

On a resent day;

8 euros were worth $9

24 euros were worth $27

We need to write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars

∵ The form of the equation is y = kx, where x is the number of

euros and y is the value in dollars

∵ 8 euros were worth $9

∴ (8 , 9) is an ordered pair belong to the equation

∵ 24 euros were worth $27

∴ (24 , 27) is another ordered pair belong to the equation

To find k substitute x and y in the equation by the coordinates of one of these two points

∵ x = 8 and y = 9

∵ y = kx

∴ 9 = 8k

- Divide both sides by 8

∴ 1.125 = k

- Substitute the value of k in the equation

∴ y = 1.125 x

To check the equation substitute x by the x coordinate of the 2nd point if it gives the same value of the y-coordinate of the point then the equation is true

∵ x = 24

∵ y = 1.125 x

∴ y = 1.125(24)

∴ y = 27 the same value of the y-coordinate of the point

∴ The equation is true

The equation that represents the relationship between the number of euros and the value in dollars is y = 1.125 x

Learn more:

You can learn more about the linear equation in brainly.com/question/4326955

#LearnwithBrainly

6 0

3 years ago