3 increased by the product of 4 and a number is equal to the same number decreased by 6. What is the number

Select the correct numbers on the number line. Which points on the number line are 8 units away from 0?

Harman [31]

Answer:

8 and -8

Step-by-step explanation:

0-8= -8

0+8= 8

Both 8 jumps from 0

6 0

2 years ago

How many times smaller is a group of 4 coins than a group of 16 coins?

likoan [24]

Answer:

4 times.

Step-by-step explanation:

16/4 = 4.

Hope this helped!

8 0

3 years ago

Methods of solving distance between two points

e-lub [12.9K]

The distance formula is an algebraic expression used to determine the distance between two points with the coordinates (x1, y1) and (x2, y2).

D=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√D=(x2−x1)2+(y2−y1)2

Example

Find the distance between (-1, 1) and (3, 4).

This problem is solved simply by plugging our x- and y-values into the distance formula:

D=(3−(−1))2+(4−1)2−−−−−−−−−−−−−−−−−−√=D=(3−(−1))2+(4−1)2=

=16+9−−−−−√=25−−√=5=16+9=25=5

Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.

If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:

(x1+x22,y1+y22)(x1+x22,y1+y22)

3 0

2 years ago

Calculate the Laplace transforms of the following from the definition. 1. y = t^2. y = t^3

Likurg_2 [28]

Answer:

1) $L(y)=\frac{2}{s^{3}}$

2) $L(y)=\frac{6}{s^{4}}$

Step-by-step explanation:

To find : Calculate the Laplace transforms of the following from the definition ?

Solution :

We know that,

Laplace transforms of $t^n$ is given by,

$L(t^n)=\frac{n!}{s^{n+1}}$

1) $y=t^2$

Laplace of y,

$L(y)=L(t^2)$ here n=2

$L(y)=\frac{2!}{s^{2+1}}$

$L(y)=\frac{2}{s^{3}}$

2) $y=t^3$

Laplace of y,

$L(y)=L(t^3)$ here n=3

$L(y)=\frac{3!}{s^{3+1}}$

$L(y)=\frac{3\times 2}{s^{4}}$

$L(y)=\frac{6}{s^{4}}$

5 0

2 years ago

norma is getting ready for a nation typing contest. during the contest she must type 30,000 words. she was able to finish 1/4 of

bogdanovich [222]

( 1 / 4 ) * 30000 =7500 words in 1 / 6 of an hour ;
2 * 7500 words in 2 * ( 1 / 6 ) of an hour => 15000 in 1 / 3 of an hour ;
2 * 15000 words in 2 / 3 of an hour => 30000 words in 40 minutes ;

7 0

3 years ago