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Aleksandr-060686 [28]
3 years ago
13

Another one. Find the gradients of the lines A and B.

Mathematics
1 answer:
GREYUIT [131]3 years ago
4 0

Answer:

Step-by-step explanation:

Gradient of a line is the same as slope of the line. Slope is defined as the ratio of the rate of change in the y(vertical) axis to the rate of change in the x(horizontal) axis.

Slope = (y2 - y1)/(x2 - x1)

Slope is denoted by m. Therefore,

For line A,

y1 = - 1

y2 = 3

x1 = 2

x2 = 3

Slope, m = (3 - - 1)/((3 - 2) = 4/1 = 4

For line B,

y1 = 5

y2 = 1

x1 = - 2

x2 = 0

Slope, m = (1 - 5)/((0 - - 2) = - 4/2 = - 2

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There are 9 books eack book 3/4 of a pound which is the total weight of the books?
Pavel [41]

Total Weight = Weight of the book + Weight of the CD + Weight of the box

 

Total Weight = 1 1/4 pound + 1/5 pound + 3/10 pound

 

Total Weight = 5/4 + 1/5 + 3/10

 

To add these fractions, you need to put them over a common denominator.  To do that, find the least common multiple of 4, 5, and 10.  Below is a table of the multiples.  The least multiple they have in common is 20, shown in orange.  So use 20 as your least common denominator.

 

          1      2      3      4     5      6     7

4 x      4     8     12    16   20    24   ...

5 x      5    10    15    20   25    30   ...

10 x   10   20   30    40    50    60   ...

 

Can you finish it from here?

3 0
3 years ago
{2x + 3y = 5}{ y= 5 x -4}
Natasha_Volkova [10]

Solve the system using substitutions:

\begin{gathered} 2x+3y=5 \\ 2x+3(5x-4)=5 \\ 2x+15x-12=5 \\ 17x=5+12 \\ 17x=17 \\ x=\frac{17}{17} \\ x=1 \end{gathered}

x has a value of 1. Use this value to find the value of y.

\begin{gathered} y=5x-4 \\ y=5\cdot1-4 \\ y=5-4 \\ y=1 \end{gathered}

y has a value of 1.

x=1

y=1

8 0
1 year ago
The perimeter of a rectangular pool is 326 M if the length of the pool is 87 M what is its width​
sveta [45]

Half the perimeter is equal to the length plus the width.

326 /2 = 163

Length + width = 163

87 + width = 163

Width = 163 - 87

Width = 76 meters

4 0
2 years ago
Answers for both boxes please ​
sleet_krkn [62]

Answer:

x = -5  y = -3

Step-by-step explanation:

-3x + 2y = 9

multiply the 2nd equation by 3 to set it up for elimination

3(x - 3y)= 3(4)

3x-9y = 12

so now combine both to add

-3x + 2y = 9

3x - 9y = 12

Adding both gives you

-7y = 21

divide both by -7 and you get

y = -3

and you substitute y back into equation to get x

x - 3 (-3) = 4   gives you

x + 9 = 4

x = 4 - 9

x = -5

7 0
2 years ago
Given RS = 6, ST = 3, and SL = 4, find SM.
NemiM [27]
A² + b² = c²
3² + 4² = c²
9 + 16 = c²
C² = 25
C = 5
so
SM = 5
7 0
3 years ago
Read 2 more answers
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