MATHEMATICS HIGH SCHOOL

Find the point that lies 1/8 of the way on the line A to B, given that A is at -14 and B is at 10.

Answers

Answer 1

Answer:

Answer:

-11

Step-by-step explanation:

Find the distance from point A to point B.

|-14 - 10| = |-24| = 24

Now find 1/8 of the distance from A to B.

1/8 * 24 = 24/8 = 3

Add 3 to the coordinate of point A.

-14 + 3 = -11

Answer: -11

Answer 2

Answer:

Answer:

the point that lies at 1/8 from A = -11

Step-by-step explanation:

1/8

A --------------------|---------------B

-14 0 10

14 + 10 = 24

1/8 x 24 = 3

distance from point A = 3

therefore,

the point that lies at 1/8 from A = -11

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A circular cylinder has a radius between 5.50 and 6.00 cm and a volume of 225 cm3. Write an inequality that represents the range of possible heights the cylinder can have to meet this criterion to the nearest hundrenth of the centimeter.

Answers

Answer:

The answer is: 1.99<h<2.37

Step-by-step explanation:

The procedure is as followed

V=πr^2h

225=π(5.5)^2h

h=2.37

225=π(6)^2h

h=1.99

Which set of ordered pairs (x, y) could represent a linear function?A = {(-6,3), (-3,0), (0, -3), (3,-5)}
B= Y(-1,2), (2, 1), (5,0), (8, -1)}
C = {(-4,-7), (-1, -3), (2.0), (5,3)}
D = {(-5, -8), (-2,-4), (1,1), (4,6)}

Answers

Set of ordered pairs (x, y) could represent a linear function

B= {(-1,2), (2, 1), (5,0), (8, -1)}

Option B is correct

Linear Function

Linear function is a function whose graph is a straight line .

Slope

Slope of a line tells us how steep the line is . Slope of a line is same at all the points.

Slope formula is $(y_2-y_1)/(x_2-x_1)$

Lets find out slope of any two points in each option

A = {(-6,3), (-3,0), (0, -3), (3,-5)}

$(0-3)/(-3+6) =-1\n(-5+3)/(3-0) =-(2)/(3) \n$

Slopes are not same

Lets check the second option

B={(-1,2), (2, 1), (5,0), (8, -1)}

$(1-2)/(2+1) =(-1)/(3) \n(0-1)/(5-2) =(-1)/(3) \n(-1-0)/(8-5) =(-1)/(3) \n$

The slope of any two points are equal .

slope are same . So it represents a linear function .

C = {(-4,-7), (-1, -3), (2.0), (5,3)}

$slope =(-3+7)/(-1+4)=(4)/(3) \nslope =(0+3)/(2+1)=(3)/(3)=1$

Slopes are not same . So it is not a linear function

D = {(-5, -8), (-2,-4), (1,1), (4,6)}

$slope = (-4+8)/(-2+5)= (4)/(3) \nSlope = (1+4)/(1+2)= (5)/(3) \n\nslope = (6-1)/(4-1)= (5)/(3) \n$

Slopes are not same . so it is not a linear function .

Option B is correct.

Learn more information about 'linear function' here

brainly.com/question/2503612

There is my question

Answers

4=c
5= a
I hope this helps you

Please help me with this problem

Answers

Answer:

$4$

Step-by-step explanation:

$\frac{ {3x}^(2) -2x + 7}{2x+5} \n \frac{3( - 1) {}^(2) - 2( - 1) + 7}{2( - 1) + 5 } \n (3 + 2 + 7)/( - 2 + 5) \n (12)/(3) = 4$

Simplify1). (-1+8i)-(6+6i)

2). (1-5i)(1-7i)

3). -9-3i/-i

4). -5-3i/1-9i

Answers

i got number 1,2,3 only

How many times greater is the value of 3 in 300 than the value of the 3 in 30

Answers

The 10 times greater is the value of 3 in 300 than the value of 3 in 30 after using the concept of fraction.

What is a fraction?

Fraction number consists of two parts, one is the top of the fractionnumber which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

How many times greater is the value of 3 in 300 than the value of the 3 in 30

Let x be the number of times the value of 3 in 300.

The equation can be framed:

3x = 300

x = 300/3

x = 100

Let y be the number of times the value of the 3 in 30:

The equation can be framed:

3y = 30

y = 30/3

y = 10