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2 years ago

A line passes through the points (6, 9) and (8, 10). What is its equation in point-slope form?

Mathematics

2 answers:

melamori03 [73]2 years ago

7 0

Answer:

y = 1x/2 + 6

Step-by-step explanation:

In order to find slope from 2 points is y2-y1/x2-x1 = m

From the points (6, 9) and (8, 10)

x1 = 6

y1 = 9

x2 = 8

y2 = 10

10-9/8-6 = 1/2

m = 1/2

slope intercept from is y = mx + b

plug in (6, 9)

9 = 1/2(6) + b

9 = 3 + b

b = 6

y = 1x/2 + 6

olchik [2.2K]2 years ago

4 0

Answer:

y = 1/2x+6

Step-by-step explanation:

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Betsy drove from london to wolverhampton.it took her 2.5 hours at an average speed of 56 miles per hour.Mac drove the same journ

sergiy2304 [10]

Answer:

44.8 mph

Step-by-step explanation:

Betsy drove from london to wolverhampton.it took her 2.5 hours at an average speed of 56 miles per hour.Mac drove the same journy by motor bike.It took him 2 hours.Assuming that both took the same route,work out Mac's average speed in mph.

The above question is solved using Proportion method

2.5 hours = 56 mph

2 hours = x mph

Cross Multiply

2.5 hours × x mph = 2 hours × 56 mph

x mph = 2 hours × 56 mph/2.5 hours

x mph = 44.8 mph

Therefore, Mac's average speed = 44.8 mph

4 0

2 years ago

Which expression is equivalent to (4x^(3)y^(5))(3x^(5)y)^(2)

marshall27 [118]

Answer:

$(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7$

Step-by-step explanation:

Given

$(4x^3y^5)(3x^5y)^2$

Required

The equivalent expression

We have:

$(4x^3y^5)(3x^5y)^2$

Expand

$(4x^3y^5)(3x^5y)^2 = 4x^3y^5*9x^{10}y^2$

Further expand

$(4x^3y^5)(3x^5y)^2 = 4*9*x^3*x^{10}y^5*y^2$

Apply laws of indices

$(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7$

8 0

3 years ago

When using substitution to solve this system of equations, what is the result of the first step?

Fittoniya [83]

Answer:

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Step-by-step explanation:

one of you answer this question

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2 years ago

Determine the slope of the line that contains the given points. E(-5,6), (4, -3) *

S_A_V [24]

Answer:

-1

Step-by-step explanation:

Use the slope formula to calculate

-3-6/4-(-5)

= -9/9

= -1 (Slope)

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2 years ago

Find the 6th term of the arthemetic sequence 2x+3,-2x+10,-6x+17,..

sveticcg [70]

Answer:4h term: -10x+24, 5th term: -14x+31, 6th term: -18x+ 38

Step-by-step explanation:

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2 years ago