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3 years ago

(-6, -2) and (5, 1) find the distance between these two points using the distance formula

Mathematics

2 answers:

Paha777 [63]3 years ago

6 0

Answer:

The answer is 11.401754

Setler79 [48]3 years ago

6 0

Answer: Approximately 11.4 units

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Work Shown:

(x1,y1) is the first point (-6,-2)

(x2,y2) is the second point (5,1)

Apply the distance formula

$d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(-6-5)^2+(-2-1)^2}\\\\d = \sqrt{(-11)^2+(-3)^2}\\\\d = \sqrt{121+9}\\\\d = \sqrt{130}\\\\d \approx 11.4017542509913\\\\d \approx 11.4\\\\$

The distance between the two points is roughly 11.4 units.

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This trapezium is drawn on a centimetre grid. Find the area of the trapezium.

aivan3 [116]

Answer:

20 unit²

Step-by-step explanation:

A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.

From the grid :-

$\rm\implies Side_1 = 7 \ units$

$\rm\implies Side_2 = 3 \ units$

$\rm\implies \perp \ Distance =4 \ units$

Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

$\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm Area = 20 \ unit^2}$

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3 years ago

Garrett can complete four laps around the track in 7 minutes and 45 seconds. How many FULL LAPS can he complete in 1 hour?

tiny-mole [99]

Answer: N/A

Step-by-step explanation:

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3 years ago

Which expression cannot be used to calculate the sale price of a fish tank that was originally at priced d dollars and is on sal

Drupady [299]

Where S is sales price,
S = .75d

You said which expression CANNOT be used, but I assume you mean can. Let me know if you didn’t.

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3 years ago

Dan buys 24 packets of nuts. Each packet of nuts weighs 225g. Work out the total weight of all the packets of nuts that dan buys

Vlada [557]

Answer:

Total weight of the nuts bought by Dan = 5.4 kg

Explanation:

Number of packets of nuts bought by Dan = 24

Weight of each packet of nuts = 225g

Total weight of the nuts bought by Dan = Number of packets of nuts bought by Dan * Weight of each packet of nuts

Total weight of the nuts bought by Dan = 24 * 225 = 5400 g = 5400/1000 kg = 5.4 kg

Total weight of the nuts bought by Dan = 5.4 kg

3 0

3 years ago

Ff is a trigonometric function of the form f(x)=a\sin(bx+c)+df(x)=asin(bx+c)+df, left parenthesis, x, right parenthesis, equals,

andriy [413]

The trigonometric function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.

<h3>How to derive a sinusoidal expression</h3>

In this problem we need to find a sinusoidal expression that models the curve seen in the picture. The most typical sinusoidal model is described below:

f(x) = a · sin (b · x + c) + d (1)

Where:

a - Amplitude
b - Angular frequency
c - Angular phase
d - Vertical midpoint

Now we proceed to find the value of each variable:

Amplitude

a = - 2 - (-6.5)

a = 4.5

Angular frequency

b = 2π / T, where T is the period.

0.25 · T = 4 - 3

T = 4

b = 2π / 4

b = π / 2

Midpoint

d = - 6.5

Angular phase

- 2 = 4.5 · sin (π · 4/2 + c) - 6.5

4.5 = 4.5 · sin (π · 4/2 + c)

1 = sin (2π + c)

π = 2π + c

c = - π

The trigonometric function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.

To learn more on trigonometric functions: brainly.com/question/15706158

#SPJ1

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2 years ago