Find the distance between the pair of points. Round to the nearest tenth, if necessary.

Answers

Answer 1

Answer:

Answer: 6.7

Explanation

The two points in the diagram are (-2,-3) and (4,0).

We can form a right triangle and then compute the hypotenuse (using the pythagorean theorem). As a slightly related method, I'll use the distance formula.

$(x_1,y_1) = (-2,-3) \text{ and } (x_2, y_2) = (4,0)\n\nd = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\n\nd = √((-2-4)^2 + (-3-0)^2)\n\nd = √((-6)^2 + (-3)^2)\n\nd = √(36 + 9)\n\nd = √(45)\n\nd = √(9*5)\n\nd = √(9)*√(5)\n\nd = 3√(5)\n\nd \approx 6.708204 \ \ \leftarrow \ \text{ you'll need a calculator}\n\nd \approx 6.7$

The approximate distance is 6.7 units

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Decrease £120 by 45%

Answers

120 * 45 % = 120 *0,45 = 54 £

120 -54 = 66 £

£66 multiply 120 by 45 get answer n take it away from 120

Experience shows that a ski lodge will be full (153 guests) if there is a heavy snow fall while only partially full (62 guests) with a light snow fall. What is the expected number of guests if the probability for a heavy snow fall is .40

Answers

Answer:

The expected number of guests if the probability for a heavy snow fall is .40 = 98.4

Step-by-step explanation:

The total number of guests for lodge to be full = 153

During heavy snow fall, the lodge will be full.

The expected number of guests during heavy snow fall = 153

During partial snow fall, the expected number of guests = 62

The probability of heavy snowfall = 0.4

The probability of partial snow fall = 1 - 0.4 = 0.6

The expected number of guests = [(0.4) (153)] + [(0.6) (62)]

= 61.2 + 37.2

= 98.4

Write an equation of the line and interpret the slope.

Answers

The equation of a line can be written using the slope-intercept form, y = mx + b. The slope represents the rate of change between two variables.

To write the equation of a line, we typically use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. The slope represents the rate of change between two variables. If the slope is positive, it indicates a positive correlation, and if the slope is negative, it indicates a negative correlation. A slope of zero indicates a horizontal line.

For example, if we have an equation y = 2x + 3, the slope is 2. This means that for every unit increase in x, the corresponding value of y will increase by 2 units. In other words, the line is getting steeper as we move right.

Learn more about Equation of a Line here:

brainly.com/question/33578579

#SPJ3

Slope = y-y/x-x
= (0-3)/(0-2)
= -3/-2
=3/2

It crosses the y axis at 0 so b = 0

y = mx + b
y = 3/2x + 0
In other words,

y = 3/2x

Good luck!

Solve the equation -6 = -9 – 3x for x.

Answers

The answer is x or 1x

A rope.Measure 60cm was divided into 2 groups . 1 was used to make a rectangle of length 12cm and breadth 6cm. And the other was used to make a hexagon . What is the size of the hexagon in each side

Answers

Answer:

4cm

Step-by-step explanation:

Firstly, we need to know the perimeter of the rectangle so as to know the length used to make the rectangle. This is 2(l + b)

P = 2(12 + 6) = 2(18) = 36cm

The length remaining to make the hexagon would be 60 - 36 = 24cm

Now since the hexagon is regular, the length of each side would be 24/6 = 4cm

Note: hexagon is a polygon with 6 sides

Find the difference between theproduct of 26.22 and 3.09 and the sum of 3.507, 2.08, 11.5, and 16.712. A. 47.2208 B. 58.3108 C. 4.489 D. 6.511

Answers

26.22× 3.09 ≈ 81.0198– 3.507 ≈ 7 7.5128– 2.08 ≈ 75.4328– 11.5 ≈ 63.9328– 16.712
≈47.2208 Your answer is A

the difference between the product of 26.22 and 3.09 and sum of 3.507, 2.08, 11.5 and 16.712

Now this looks messy, change them into numerals:
(26.22 × 3.09) - (3.507 + 2.08 + 11.5 + 16.712)
Clear the parenthesis:
81.0198 - 33.799
Subtract:
47.2208

Answer is: A. 47.2208

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