The slope of line passing through the points (1, -5) and (4, 1) is 24
Step-by-step explanation:
Slope is the steepness of a line passing through given points
Given points are:
(x1,y1) = (1, -5)
(x2,y2) = (4,1)
The slope is denoted by m. The formula for slope is:
The slope of line passing through the points (1, -5) and (4, 1) is 2
Keywords: Slope, Calculation of slope
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Answer:
The second graph.
Step-by-step explanation:
The first graph has a negative slope, so that can't be the right answer.
The last graph isn't steep enough to show a rate of 2.5.
This leaves us with the middle graph which is correct.
Answer:
x = 21
Step-by-step explanation:
The sum the the interior angles of a triangle is 180°.
We know that the three angles of the triangle is 100°, x° - 4, and 3x°.
The sum of 100°, x° - 4, and 3x° must equal 180°. We can turn this into the equation:
100 + x - 4 + 3x = 180
(I got rid of the degree signs because they are not necessary when finding x.)
Now, to find the value of x, we would have to solve for x in the equation 100 + x - 4 + 3x = 180.
100 + x - 4 + 3x = 180
Subtract 100 from both sides to get rid of the 100 on the left side.
x - 4 + 3x = 180 - 100
Simplify.
x - 4 + 3x = 80
Add 4 from both sides to get rid of the -4 on the left side.
x + 3x = 80 + 4
Simplify and combine like terms.
4x = 84
Divide 4 from both sides to get rid of the coefficient of 4 on the left side.
x = 84/4
Simply.
x = 21
The value of x would be 21.
x = 21
I hope you find this helpful. :)
Hi,
That would be 192= 2x2x2x2x2x2x3 = (2^6)x3
Hope this helps!
Answer:
1560
Step-by-step explanation:
First (2 1/2)/(1/4) = (5/2)(4) = 20/2 = 10
Next, 3/(1/4) = 3(4) = 12
Lastly, (3 1/4)/(1/4) = (13/4) x 4 = 52/4 = 13
This means we need 10 rows of 12, 13 high. 10(12)(13) = 1560 cubes.
Another way is to multiply 2 1/2 x 3 x 3 1/4 = 5/2 x 3 x 13/4 = 195/8
A 1/4 inch cube is 1/4 x 1/4 x 1/4 for a volume of 1/64
(195/8)/(1/64) = (195/8)(64) = 1560 cubes.
