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3 years ago

Find the value of x

Mathematics

1 answer:

shepuryov [24]3 years ago

3 0

Answer:

sqrt(21)

Step-by-step explanation:

x = sqrt(7*3) = sqrt(21)

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Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-inte

frosja888 [35]

As we go from (-6,6) to (9,1), x increases by 15 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/15, or m = -1/3.

Point-slope form: y-6 = (-1/3)(x+6), using data from (-6,6).

Slope-intercept form: starting with y = mx + b, substit. -6 for x, 6 for y and -1/3 for m:

6 = (-1/3)(-6) + b, or

6 = 2 + b. Then b = 4, and the equation in slope-intercept form is

y = (-1/3)x + 4.

8 0

3 years ago

How far does the unicycle move if the wheel turns once?

algol [13]

The unicycle moves a distance of 251.20cm if the wheel turn once and the wheel must rotate 32 times to cover a distance of 100m

<h3>Circumference of a circle</h3>

The formula for calculating the circumference of a circle is given as:

C = 2pi r

r is the radius of the circle

a) r = 80/2 = 40cm

C = 2(3.14)(40)
C = 251.20 cm

Hence the unicycle moves a distance of 251.20cm if the wheel turn once

b) Number of revolution * 2pi r = distance covered

n * 2(3.14)(50) = 10000
314n = 10000
n = 10000/314

n =32

Hence the wheel must rotate 32 times to cover a distance of 100m

Learn more on circumference here: brainly.com/question/23986334

#SPJ1

8 0

2 years ago

a recipe calls for 6 cups water and 4 cups of flour if the recipe is increased how many cups of water should be used with 6 cups

ololo11 [35]

$6\ cups\ of\ water\ for\ 4\ cubs\ of \ flour\\\\
x\ cups\ of\ water\ for\ 6\ cubs\ of \ flour\\\\making\ proportion\\\\
6-4\\x-6\\\\cross\ multiplication\\\\
6*6=4x\\\\
36=4x\ \ \ \ | divide\ by\ 4\\\\
x=9\\\\
9\ cups\ of\ water\ should\ be\ used.$

8 0

3 years ago

Find the median of the set of data. 30, 16, 49, 25 <br><br>

weeeeeb [17]

Answer:

16,25,30,49

25+30=55

55÷2=27.5

Step-by-step explanation:

median means the middle value of any set of data so first arrange the data into ascending order.

16, 25, 30, 49

the data is even so we take both the middle value , add it and divide it with 2

25+30=55

55÷2=27.5

4 0

3 years ago

QUESTION 2. the feasible region shows the number of chairs x and tables y that a furniture company can build each week.

GalinKa [24]

Answer:

Part a) The company can not build 12 chairs and 5 tables

Part b) The company can build 18 chairs and 3 tables

Part c) The company can build 12,13,14,15,16 or 17 chairs

Step-by-step explanation:

we know that

If a ordered pair is a solution, then the ordered pair must be belong to the feasible region of the graph

Part a) Can the company build 12 chairs and 5 tables?

In this problem we have the ordered pair A(12,5)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point A is not on the feasible region

therefore

The company can not build 12 chairs and 5 tables

Part b) Can the company build 18 chairs and 3 tables?

In this problem we have the ordered pair B(18,3)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point B is on the feasible region

therefore

The company can build 18 chairs and 3 tables

Part c) One week, the company decides to build 4 tables. how many chairs can the company build?

For y=4

Find the value of x in the graph

The solutions point for y=4 tables are

(12,4), (13,4),(14,4),(15,4),(16,4) and (17,4)

therefore

The company can build 12,13,14,15,16 or 17 chairs

3 0

3 years ago