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3 years ago

What is the slope of the line that passes through the points (9,5) and (21,1)

Mathematics

1 answer:

SOVA2 [1]3 years ago

4 0

Answer:

Step-by-step explanation:

You can get the slope of a line with the following equation y2 - y1 / x2 - x1

Thus the unsimplified answer is -4/12, but this needs to be simplified. By finding the least common denominator, you can make slopes easier to use. Using this method, the answer is -1/3

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If one pound of water has a mass of 453.6 grams, what would be the mass of 2.2 pounds of water?

iren2701 [21]

The answer would be 997.92

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3 years ago

Solve the equation.

lawyer [7]

Answer:

x=12
x=9

Step-by-step explanation:

1) Eliminate parentheses:

0.1x +18.8 = -4 +2x

22.8 = 1.9x . . . . . . . . . add 4 - 0.1x

12 = x . . . . . . . . . . . . . divide by 1.9

2) Eliminate parentheses:

-16 +4x = 0.8x +12.8

3.2x = 28.8 . . . . . . . . add 16 - 0.8x

x = 9 . . . . . . . . . . . . . .divide by 3.2

_____

Comments on the solutions

The expression we add in each case eliminates the constant on one side of the equation and the variable term on the other side. That leaves an equation of the form ...

variable term = constant

We choose to eliminate the smaller variable term (the one with the coefficient farthest to the left on the number line). Then the constant we eliminate is the on on the other side of the equation. This choice ensures that the remaining variable term has a positive coefficient, tending to reduce errors.

You can work these problems by methods that eliminate fractions. Here, the fractions are decimal values, so are not that difficult to deal with. In any event, it is good to be able to work with numbers in any form: fractions, decimals, integers. It can save some steps.

7 0

3 years ago

Which graphed line represents an equation of a line with a slope of -1 and a point on the line of (1, - 1)? A) red line

mamaluj [8]

Answer:

y = -x

Step-by-step explanation:

slope = change in y/change in x

slope = -1

Find the y-intercept

x value difference between (0,0) and (1,-1) = 1

if change in x = 1 then change in y = -1 so y-intercept = -1 + 1 = 0

y = -x + 0

4 0

3 years ago

Evaluate the expression 5(7 - 4)2 + 3 + 11. •3 •14 •26 •33

RoseWind [281]

Answer:

Step-by-step explanation:

im not sure actually

5 0

3 years ago

Read 2 more answers

Reyesburg Corporation is contemplating using a new, more expensive glue in the construction of its laminated veneer lumber. Of i

Leokris [45]

Answer:

The mean carrying load of the beams tested is 908.7 pounds per square foot

Step-by-step explanation:

1. Data class 1: 860-879

Midpoint 1: M1=(860+879)/2=1,739/2→M1=869.5

Number of values in data class 1: n1=2

2. Data class 2: 880-899

Midpoint 2: M2=(880+899)/2=1,779/2→M2=889.5

Number of values in data class 2: n2=5

3. Data class 3: 900-919

Midpoint 3: M3=(900+919)/2=1,819/2→M3=909.5

Number of values in data class 3: n3=10

4. Data class 4: 920-939

Midpoint 4: M4=(920+939)/2=1,859/2→M4=929.5

Number of values in data class 4: n4=6

5. Data class 5: 940-959

Midpoint 5: M5=(940+959)/2=1,899/2→M5=949.5

Number of values in data class 5: n5=1

Mean=Sum(Mi*ni)/Sum(ni)

Mean=(M1*n1+M2*n2+M3*n3+M4*n4+M5*n5)/(n1+n2+n3+n4+n5)

Mean=(869.5*2+889.5*5+909.5*10+929.5*6+949.5*1)/(2+5+10+6+1)

Mean=(1,739+4,447.5+9,095+5,577+949.5)/(24)

Mean=(21,808)/(24)

Mean=908.6666666

Rounding to one decimal place:

Mean=908.7

3 0

3 years ago