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Gekata [30.6K]
3 years ago
13

Find the slope of the line that passes through the points (-2,2) and (13,-7)

Mathematics
2 answers:
Sindrei [870]3 years ago
7 0

Slope: \frac{-7-2}{13+2}

-7 - 2 = -9

13 + 2 = 15

Slope = -\frac{9}{15}

Stolb23 [73]3 years ago
4 0
Slope is change in y over change in x.
So in this case, it would be 2- -7/-2-13 = 9/-15 = -3/5.

The answer is -3/5.
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A hat's original price was $50. It is on sale for 40%0ff. How much does it cost?
yKpoI14uk [10]

Answer:

30

Step-by-step explanation:

40/100 x 50= 20

50-20=30

3 0
3 years ago
Read 2 more answers
Find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.
stealth61 [152]

The slope-point form of a line:

y-y_0=m(x-x_0)

The slope-intercept form of a line:

y=mx+b

1.

m=6,\ (4,\ 1)\to x_0=4,\ y_0=1

Substitute

y-1=6(x-4)\qquad|\text{use distributive property}\\\\y-1=6x-24\qquad|\text{add 1 to both sides}\\\\\boxed{y=6x-23}

2.

m=-5,\ (6,\ -3)

Substitute

y-(-3)=-5(x-6)\qquad|\text{use distributive property}\\\\y+3=-5x+30\qquad|\text{subtract 5 from both sides}\\\\\boxed{y=-5x+24}

3.

m=-\dfrac{1}{2},\ (-8,\ 2)\\\\y-2=-\dfrac{1}{2}(x-(-8))\\\\y-2=-\dfrac{1}{2}(x+8)\\\\y-2=-\dfrac{1}{2}x-4\qquad|\text{add 2 to both sides}\\\\\boxed{y=-\dfrac{1}{2}x-2}

4.

m=0,\ (-7,\ -1)\\\\y-(-1)=0(x-(-7))\\\\y+1=0\qquad|\text{subtract 1 from both sides}\\\\\boxed{y=-1}

3 0
3 years ago
Write the following sentence as a conditional.
Serjik [45]

Answer:

If a conditional statement is reached using inductive reasoning, then it is a conjecture

Step-by-step explanation:

7 0
3 years ago
the cost of running an appliance varies jointly as the number of watts used, the hours of operation, and the cost per kilo-watt
zhuklara [117]
Suppose:
C=cost
c=cost per kilo-watt hour
w=number of watts
h=number of hours
thus
C=kwhc
where:
k=constant of proportionality:
k=C/(whc)
but
C=15 when w=6000, h=10/60=1/6 hours, c=7.5 cents per kw/h
thus
k=15/(6000*1/6*7.5)
k=0.002
thus:
C=0.002(whc)
hence:
when 
h=70*2=140=140/6=70/3 hours the cost will be:
C=0.002(6000*70/3*7.5)
C=2100 cents
C=$21

7 0
3 years ago
Can someone explain box plots
slamgirl [31]

The correct answer is C because the lowest number is 4 ( out of all the numbers ), which is the dot to the above the number 4 and the largest number is 14, that is also marked by a dot above the number 18. The medians are ( the middle number ) 8 and 10, so you are going to add these to numbers together, 8 + 10 = 18, and then you have to divide it by 2, 18 ÷ 2 = 9, which means the median is 9, which is the middle line. For the 1st quartile, you have to add both the 7's and divide by 2, 7+7=14 ÷ 2 = 7, so then the 1st quartile is 7, the line closest to the 4, repeat this for the 3rd quartile, 11 + 13 = 24 ÷ 2 = 12, 3rd quartile = 12, the line closest to the number 14.

8 0
3 years ago
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