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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The true statements about the triangles RST and DEF are: (a), (d) and (e)
<h3>How to determine the true statements?</h3>
The statement ΔRST ≅ ΔDEF means that the triangles RST and DEF are congruent.
This above implies that:
- The triangles can be mapped onto each other by rigid transformations such as reflection, translation and rotation
- The transformation does not include dilation
- Corresponding sides are congruent
The above means that the possible true statements are: (a), (d) and (e)
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Answer:
5
alternates
Step-by-step explanation:
The series is for k = 0 to 4, so k = 0, 1, 2, 3, 4.
That is 5 terms.
-1/2 is inside the parentheses and is raised to 0, 1, 2, 3, 4.
A negative number raised to an even integer is positive.
A negative number raised to an odd integer is negative.
The sign of each term in the series alternates.
A= 1/360 m•pi r^2
11/2= 1/360 m• pi (3)^2
11/2= 1/360 m• pi • 9
Divide 360 by 9
11/2= 1/40 m pi
Cross multiply
440=2pi m
Divide both sides by 2pi
m= 70.02817 degrees round if necessary
