Answer:
3cm < Third side < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values of third side are
4cm, 5cm,6cm
Step-by-step explanation:
This question can be solved using given by Triangle Inequality Theorem Given below.
- Sum of two sides is always greater than value of third side
- Difference of two sides is always less than value of third side
Given two sides are 2cm, 5cm
Sum of two sides = (2+5)cm = 7 cm
Difference of two sides = (5-2) = 3 cm
Let the third side be X
thus according to Triangle Inequality Theorem
X < Sum of two sides of given triangle
X < 7cm -----1
X > Difference of two sides
X > 3cm ----1
combining expression 1 and 2 we have
3cm < X < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values are
4c, 5cm,6c
Answer:
Bus B travel faster
Step-by-step explanation:
The graph of the question in the attached figure
we know that
the linear equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept
x ---> is the time in hours
y ---> is the distance in miles
In this problem we have
Bus A
The slope of the linear equation represent the speed of the bus
so
The speed of bus A is
Bus B
Find the slope
take two points from the graph
(0,0) and (3,200)
The formula to calculate the slope between two points is equal to
substitute
Compare the slope Bus A with the slope Bus B
therefore
Bus B travel faster
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Tags: <em>logarithm value compute power property natural log ln</em>
Answer:
28.) c.
29.) a and c.
30.) a.
y=3x/5 +18/5
b.
(-6, 0)
31.) y=x-4
Step-by-step explanation:
28.)
pounds is equal to the y value of a graph, while months is equal to the x value of the graph. slope is equal to y/x. Therefore, it is the slope.
29.) rearrange the equation to isolate the y value and then divide every equation by 2. you will then get y=4x+8. When you plug each of the points in, you will notice only a and c are true.
30.) a.
The line equation is: y=mx+b. First find the slope. You can do that with subtracting y values over dividing x values. You should get: 3-6/-1-4=3/5.
With this slope, plug in one of the points for the x and y values, and solve for b. I used the point (-1, 3) and got b=18/5
b.
For this, I found that 0= 3(-6)/5+18/5
31.) Find the slope by subtracting the y values over subtracting the x values. This should give you a slope of 1. After you find the slope, plug in your slope as m in the line equation: y=mx+b. Next, find a point in that plot and plug those in to find the y intercept (b). I chose (-2, -6) and (2, -2) and got a slope of -4. However, you can also see that when x=0, y=-4, so that could also be a nice shortcut.
Hope this helps!
X3 + 4x2 -9x -36
[x3 + 4x2] -9 [ x+4]
take x2 common factor from first praket
x2[x+4] -9 [x+4]
= [x+4] *[x2 -9]
so the zeros of this equation are -4 , 3, -3
