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mariarad [96]
3 years ago
14

Find an equation of a line that goes through the points (1,6) and (4, -2). Write your answer in the form y=mx + y.

Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:

The desired equation is y = (-8/3)x + 26/3.

Step-by-step explanation:

Moving from (1,6) to (4, -2) involves an increase of 3 in x and a decrease of 8 in y.  Thus, the slope of the line thru these two points is m = rise / run = -8/3.

Using the slope-intercept form of the eq'n of a straight line  and inserting the data given (slope = m = -8/3, x = 4,  y = -2), we get:

y = mx + b => -2 = (-8/3)(4) + b, or  -2 = -32/3 + b

Multiply all terms by 3 to clear out the fraction:

-6 = -32 + 3b.

Then 26 = 3b, and b = 26/3.

The desired equation is y = (-8/3)x + 26/3.

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A triangle has sides with lengths of 11 miles, 15 miles, and 17 miles. Is it a right triangle?​
dybincka [34]

Answer:

Below.

Step-by-step explanation:

If its a right triangle it will obey the Pythagoras theorem.

17^2 = 289

11^2 + 15^2 = 121 + 225  = 346

- so NOT a right triangle.

3 0
3 years ago
The function f(x)={1/5}^x is translated up 4 units. Which equation represents the translated function
insens350 [35]
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3 years ago
What is the length of AA' , rounded to the nearest hundredth? Type a numerical answer is the space provided. Do not type spaces
inna [77]
Coordinate of A are (0,0)
Coordinates of A' are (5,2)

We can find the distance from A to A' using the distance formula:

AA'= \sqrt{(5-0)^{2}+ (2-0)^{2}  } \\  \\ 
AA'= \sqrt{25+4} \\  \\ 
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Thus, rounded to nearest hundredth, AA' is equal to 5.39
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3 years ago
5 ft, 7 in, - 3 ft, 10 in.
aliina [53]

Answer:

The answer would be 1 ft 9 in

Step-by-step explanation:


8 0
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astra-53 [7]

Answer:

=42x2+1

Step-by-step explanation:

6x2+36x2+12x+6

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