A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line.
Answers
Equation is
y-3=2(x+1)
or
y=2x+5
An other point : if x=0 y= 5 is (0,5)
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Eric and four of his friends are taking a trip across the New York State Thruway. They decide to split the cost of tolls equally. If the total cost of tolls is $8, how much will each person have to pay? Include the product of rational numbers (multiplication problem) you used to find your answer.
Answers
There are 132 ways of selecting them.
What is permutation and combination ?
permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.
According to the question,
So if there are 12 trumpet players, then teacher may take the leader, then, after he's taken, there are 11 ways of picking co-leader.
Multiply both numbers of possibilities
= 12× 11
=132
Hence ,There are 132 ways of selecting them.
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Multiply both numbers of possibilities -> 12*11=132
There are 132 ways of selecting them.
Answers
- Two cupcakes require 2/3 of a cup of icing.
- This means that one cupcake requires (2/3) / 2 = 1/3 cup of icing.
Now, you can calculate how many cupcakes can be frosted with one cup of icing:
Number of cupcakes frosted = (1 cup of icing) / (1/3 cup of icing per cupcake)
Number of cupcakes frosted = (1 cup) / (1/3 cup) = 3 cupcakes
So, with one cup of icing, you would be able to frost 3 cupcakes.
Answers
Answers
Answer:
0.44444444444
Step-by-step explanation:
-3x^2=-105
Answers
Answers
The length of the hypotenuse of this triangle is 15 inches.
What is Pythagoras Theorem?
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
In this case, let's label the legs of the triangle as a and b, with a = 9 inches and b = 12 inches. Let c be the length of the hypotenuse that we want to find. Then the Pythagorean theorem can be written as:
c² = a² + b²
Substituting the values we know, we get:
c² = 9^2 + 12^2
c² = 81 + 144
c² = 225
Taking the square root of both sides, we get:
c = √225
c = 15
Therefore, the length of the hypotenuse of this triangle is 15 inches.
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a^2+b^2=c^2
legs are 9 and 12
a=12
b=9
12^2+9^2=c^2
144+81=c^2
225=c^2
sqrt both sides
15=c
the legnth of the hyptonuse is 15 inches