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Lady bird [3.3K]
3 years ago
6

(-15,-6), (8,3) Find the slope of the line through each pair of points?

Mathematics
2 answers:
lukranit [14]3 years ago
8 0

Slope is equal to the change in

y

over the change in

x

, or rise over run.

m = change in y / change in x

The change in

x

is equal to the difference in x-coordinates (also called run), and the change in

y

is equal to the difference in y-coordinates (also called rise).

m = y^2 - y^1 / x^2 x^1

Substitute in the values of

x

and

y

into the equation to find the slope.

m

=

3

−

(

−

6

)

8

−

(

−

15

)

Simplify.

Simplify the numerator.

Tap for more steps...

m

=

9

8

−

(

−

15

)

Simplify the denominator.

Multiply

−

1

by

−

15

.

m

=

9

8

+

15

Add

8

and

15

.

m

=

9/23

posledela3 years ago
3 0

Answer:

Step-by-step explanation:

Δy = -6 - 3 = -9

Δx = -15 - 8 = -23

slope = Δy/Δx = 9/23

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Write an inequality to represent the phrase: The sum of a number and 6 is no less than 31.
Nastasia [14]

Answer

6+x=31 0r 6+ x = <31

Step-by-step explanation:

3 0
3 years ago
The temperature at 5 a.m. was −7.4°C. By 9 a.m., the temperature was −4.7°C. How much warmer was the temperature at 9 a.m.?
Nana76 [90]

Answer:

(

Step-by-step explanation:

(-7°C)-(-4°C)

-7°C + 4°C

-3°C

3 0
2 years ago
the sum of two numbers is 17 the larger is 4 less than the than twice the smaller find both numbers ​
Tatiana [17]

Answer:

The first number is 10 and a he second number is 7.

Step-by-step explanation:

Small number= 7

Big number= 7*2=14-4

=10

4 0
3 years ago
Please explain how you got the answer, i dont understand the subject
KIM [24]

Answer:

y=mx+c

We have to find the value of m and c.

Let's substitute the value of x and y from the table.

When x=1, y=15,

15= m(1)+c

m +c= 15 ------(1)

Now substitute another set of x and y values.

When x=2, y=24,

24= m(2)+c

2m +c= 24

c= 24 -2m ------(2)

Let me rewrite the two equations so that it is clearer for you to see.

m + c= 15 -----(1)

c = 24 -2m -----(2)

subst. (2) into (1):

m+ 24-2m= 15

-m= 15-24 (bring constants to 1 side, m terms to the other)

-m= -9 (simplify)

m= 9 ( divide by -1 throughout)

subst. m=9 into (2):

c= 24 -2(9)

c= 24-18

c= 6

Thus, the equation is y=9x+6.

When the cat is 3 years old, x=3.

When x=3,

y= 9(3)+6

y= 33.

Hence, the cat is 33 years old in human years.

5 0
3 years ago
math problem Just before a referendum on a school budget, a local newspaper polls 400 voters in an attempt to predict whether th
Readme [11.4K]

Answer:

The conditions necessary for the analysis are met.

The probability the newspaper’s sample will lead them to predict defeat is 0.7881

Step-by-step explanation:

We are given;

population proportion; μ = 52% = 0.52

Sample size;n = 400

The conditions are;

10% conditon: sample size is less than 10% of the population size

Success or failure condition; np = 400 x 0.52 = 208 and n(1 - p) = 400(1 - 0.52) = 192.

Both values are greater than 10

Randomization condition; we assume that the voters were randomly selected.

So the conditions are met.

Now, the standard deviation is gotten from;

σ = √((p(1 - p)/n)

where;

p is the population proportion

n is the sample size

σ is standard deviation

Thus;

σ = √((0.52(1 - 0.52)/400)

σ = √((0.52(0.48)/400)

σ = 0.025

Now to find the z-value, we'll use;

P(p^ > 0.5) = P(z > (x - μ)/σ)

Thus;

P(p^ > 0.5) = P(z > (0.5 - 0.52)/0.025)

This gives;

P(p^ > 0.5) = P(z > - 0.8)

This gives;

P(p^ > 0.5) = 1 - P(z < -0.8)

From the table attached we have a z value of 0.21186

Thus;

P(p^ > 0.5) = 1 - 0.21186 = 0.7881

Thus, the probability the newspaper’s sample will lead them to predict defeat is 0.7871

8 0
3 years ago
Read 2 more answers
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