To find out if they are parallel we need to see if the gradient is the same, to do this we need to get y in terms of x:
assuming the first equation is x+y+7=0
y=-x-7
and
y=x-3
The gradient is the coefficient of x (the number infront of x)
For equation 1 the gradient is -1, and for number 2 it is 1, therefore they are not parallel.
However to check if they are perpendicular we need to see if their gradients multiply to equal -1.
-1*1=-1 therefore they are perpendicular
Answer:
7
Step-by-step explanation:
Let the each leg be x so,
√(x²+x²)=√98
or, √(2x²)=√98
or, x√2=7√2
or, x=7
Answer:
x+2
Step-by-step explanation:
we know that
To find out the factors of a polynomial, determine the x-intercepts or zeros of the polynomial
Remember that
The x-intercepts of a polynomial are the values of x when the value of the polynomial is equal to zero
In this problem
Looking at the graph
For x=-2, f(x)=0
so
x=-2 is an x-intercept or zero of the polynomial
To find out the factor move the constant to the left side and equate to zero
adds 2 both sides
therefore
The factor is (x+2)
Answer:
hi it -2 3
Step-by-step explanation:
Since there are 10 persons in the group who do not know one another, the real number of handshakes will be 45.
<h3>What is combination?</h3>
In probability theory and other branches of mathematics, the term "combination" refers to a succession of results where the order is irrelevant. A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen. Combinations and permutations may appear to be synonyms. However, they are defined differently in probability theory. Combinations: The sequence of results is irrelevant. Permutations: The sequence of events matters.
Here,
Total number of handshakes = 10C2 = (10 × 9)/2 = 45 handshakes.
When 10 people are shaking hands, each one will shake hands with 9 others.
The total number of handshakes in actual = 90/2 = 45 handshakes.
The total number of handshakes in actual will be 45 handshakes as there are 10 people in the group who do not know each other.
To know more about combination,
brainly.com/question/20211959
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