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fenix001 [56]
3 years ago
7

Find the slope of the line that passes through (3, 7) and (6, 8).

Mathematics
2 answers:
OLEGan [10]3 years ago
8 0

Answer:

Slope = 1/3

Step-by-step explanation:

<em>Step 1: Define general form of equation of line</em>

An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept

<em>Step 2: Set up the system to solve for slope M of equation of line</em>

That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).

Substitute these values of x and y into the original equation in step 1:

7 = 3M + b

8 = 6M + b

<em>Step 3: Solve the system of equations in step 2 for M</em>

Subtract 1st equation from 2nd equation:

8 - 7 = 6M - 3M + b - b

Simplify both sides:

1 = 3M

Divide both sides by 3:

=> M = 1/3

Hope this helps!

:)

morpeh [17]3 years ago
3 0

Answer:

slope =  \frac{1}{3}

Step-by-step explanation:

(3 \:  \:  \:  ,\:  \:  \: 7) =  > (x1 \:  \:  \:  ,\:  \:  \: x2) \\ (6 \:  \:  \:  ,\:  \:  \: 8) =  > (y1 \:  \:  \:  \: , \:  \:  \: y2)

slope \\  =  \frac{y1 - y2}{x1 - x2}  \\  =  \frac{7 - 8}{3 - 6}  \\  =  \frac{ - 1}{ - 3}  \\  =  \frac{1}{3}

hope this helps

brainliest appreciated

good luck! have a nice day!

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6.- Find the area under the standard normal distribution: to the left of z=-1.55.
Kisachek [45]

Answer:

P(z

Step-by-step explanation:

For this case we want to find this probability:

P(z

Because they want the area to the left of the value. We need to remember that the normal standard distribution have a mean of 0 and a deviation of 1.

We can use the following excel code: =NORM.DIST(-1.55,0,1,TRUE)

And we got:

P(z

The other possibility is use the normal standard table and we got a similar result.

5 0
3 years ago
Jamal is x years old. His mother is 28 years older than Jamal. Jamal's uncle is two times older than Jamal's mother. Write and s
eimsori [14]

Answer:

28x^2= y

x = jamal age

y= jamal's uncle age

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Write (2p)^4 without exponents.
Fed [463]

Answer:

= 8p

Step-by-step explanation:

Steps

2p · 4

Remove parentheses: (a) = a

= 2p · 4

Multiply the numbers: 2 · 4 = 8

= 8p

5 0
3 years ago
Amber, Bernie, and Carlos are working on a problem together. Their goal is to correctly apply the difference of cubes formula to
NeX [460]

Answer: Carlos is correct

Step-by-step explanation:

2x^5-250x^2

The first step is to factorize out 2x^2

2x^2(x^3-125)

This can be rewritten as

2x^2(x^3-5^3),

Recall, difference if cube (a^3-b^3)

= (a-b)(a^2 +ab + b^2)

from our equation,

a= x

b = 5.

So the difference of cubes will be

2x^2[(x-5) (x^2 + 5x + 5^2)]

=2x^2[(x-5) (x^2 + 5x + 25)]

Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.

Amber is incorrect because 125 is equal to b3, not b.

Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.

6 0
3 years ago
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anzhelika [568]

Answer:

13 units

Step-by-step explanation:

Im doin this in class to so i got you

the equation would be d=(8-(-5))2-(-3-(-2))2

Next solve in the parenthesis 13 power of 2 +-1 power of 2

Then do the powers 169+1

d=170

Then you square 170 which is 13.03840481

That simplifies to 13

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8 0
2 years ago
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