the vertices of a triangle at A(5,-4) ,B(7,0) ,and C(1,-2). if the triangle is a right triangle, which vertex is the right angle
Answers
We can find the right angle of the triangle by finding the slope of the sides .
Any right angle makes an angle of 90 degrees and the lines are perpendicular .
For perpendicular lines product of slopes is -1.
In other words the slopes have opposite signs and are reciprocal .
Let us find the slopes of AB,BC,CA.
Slope of two points can be found by the difference in y values divided by different in x values
Slope of AB=
Slope of BC=
Slope of CA=
The slopes of AB and CA are reciprocal of each other with opposite signs or we can say their product is -1 so they are perpendicular.
Angle A is the common angle to these sides so we say angle A is the right angle
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Answers
Answer:
Step-by-step explanation:
If you start with t1 = 8.6
and t2 = 6.4
Then tn - tn-1 = 6.4 - 8.6 = -2.4
In other words if you start at tn-1 and go to the next term tn you have to subtract 2.4 from the term to get to the next term.
t1 = 8.6
t2 = 6.2
t2 = 8.6 - 2.4 = 6.2
The difference is -2.4
In general tn+1 = tn - 2.4
Answer:
So the common difference is -2.4
Step-by-step explanation:
In an arithmetic sequence the common difference is the difference between any two consecutive terms
also formula for common difference is d= a(n) - a(n-1)
which means that if we have an arithmetic sequence i.e. a1,a2,a3 and a4
then their common difference will be
common difference = a₂-a₁= a₃-a₂ = a₄ -a₃
Now for the given sequence
Common difference = 6.2 - 8.6
= - 2.4
Check:
8.6 - 2.4 = 6.2
6.2 - 2.4 = 3.8
3.8 - 2.4 = 1.4
.
.
So the common difference is -2.4
−6⋅(−7)⋅(−8)⋅0
−3⋅(−2)⋅(−4)⋅(−7)
4⋅(−9)⋅(−3)⋅(−1)
Answers
Answer:
4⋅(−9)⋅(−3)⋅(−1) product is negative,
Step-by-step explanation:
Given : Numbers .
To find : Which product is negative.
Solution : We have given expression with positive sign and negative sign.
By the integer rule : When we multiplied the even number of negative it become positive .
Example: -a * - b = ab.
When we multiplied the odd number of negative it become negative .
Example: -a * - b* -c = - abc.
This expression have −6⋅(−7)⋅(−8)⋅0 have 3 negative sign but it has 0 so, this expression would be zero.
Then only this 4⋅(−9)⋅(−3)⋅(−1) expression have 3 negative sign
So, its product would be negative.
Therefore, 4⋅(−9)⋅(−3)⋅(−1) product is negative,
The negative answer is the last one, 4⋅(−9)⋅(−3)⋅(−1)
positive times a negative = a negative
negative times a negative= a positive
a positive times a negative= a negative
Answers
First, expand to get rid of parentheses. / Your problem should look like:
Second, add 28 + 2. / Your problem should look like:
Answer: -21m + 30
Answers
We can find pi between square roots √9 and √10.
What is number line ?
Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.
The value of pi is approximately 3.14 which is greater than 3 and less then 4 integer that is 3 < pi < 4
and, they are square root of 9 and 16 respectively that pi can also be corelated as √9 < pi √16. Now let us check between integers which is less then 16 it is observe that the square root of integer close to pi is 9 and 10 that is √9 < pi < √10.
Therefore, we can find pi between square roots√9 and √10.
Read more about square roots here :
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√9 < pi √16
In fact, since pi^2 = 9.86,
√9 < pi < √10.
Which means the you can find pi between square roots √9 and √10.
Answers