Answer:
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Step-by-step explanation:
hope this helps
The Equation the slope enter form, all the side of the triangle qrs that is parallel to uv. y= x+9.
<h3>What is slope?</h3>
A line's steepness is determined by its slope. "Rise over run" is used to calculate slope.
Slope: A line's incline with respect to the horizontal expressed numerically. The slope of any line, ray, or line segment in analytical geometry is the ratio of the vertical to the horizontal distance between any two points on the object.
<h3>The right query is included below:</h3>
the following points: (-8, 1) and (-2, 7)
m= (y2 - y1) / (x2 - x1)
m= 7-1/ -2+8
m= 6/6
m=1
The line's equation is known to be
y= mx+ c
1= -8 + c
c= 9
So, y= x+9.
The Equation the slope enter form, all the side of the triangle qrs that is parallel to uv. y= x+9.
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Answer:
140
Step-by-step explanation:
The arithmetic series is 5, 7, 9, 11, ........., 23.
First u have to determine the no. of terms that can be done by using
Tₙ = [a + (n - 1)d]
Tₙ-------nth term
a---------first term
n---------no.of terms in the series
d---------common difference
here a = 5,d = 2.
let it contain n terms Tₙ= [a + (n-1)d]
Substitute Tₙ, a, and d in the equation
23 = 5 + (n - 1)2
Subtract 5 from each side.
18 = (n-1)2
Divide each side by 2
(n - 1) = 9
Add 1 to each side
n = 9 + 1 = 10
The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]
Substitute Sₙ, a, n and d in the equation
Sₙ= (10/2)[2(5) + (10-1)2]
Sₙ= (5)[10 + (9)2]
Sₙ= 5[10 + 18]
Sₙ= 5[28] = 140
Therefore the sum of the arithmetic sequence is 140.
Answer:
The change in elevation=2,400 feet
Step-by-step explanation:
The expression to determine the change in elevation after 6 minutes is a s follows;
D=S×T
where;
D=change in elevation in feet
S=speed/ descending rate
T=time
In our case;
D=unknown
S=400 feet/minute
T=6 minutes
replacing;
D=400×6=2,400 feet
The change in elevation=2,400 feet
Given:
(7,0), (10,21)
To find the slope of the line that passes through the given points, we use the formula:
where:
m=slope
Based on the given points, we let:
We plug in what we know:
Therefore, the answer is A. The slope is 7.