We are given the following data: <span>x = 2t, y = t + 5, -2 ≤ t ≤ 3. The data is valid since there are three unknowns in this problem and that three equations would suffice to answer the problem.
We start with the given </span>-2 ≤ t ≤ 3 then substitute y = t +5 by using the limits of the range:
at t = -2 ; y = -2 + 5 = 3
at t = 3, y = 3+5 = 8
for the second equation
at t = -2 ; x = 2*-2 =-4
at t=3; x = 2*3 = 6
we group the points based on their original corresponding t's
(3,-4) and (8,6) we just have to connect these points along with the internal points in between. The relationship should be linear.
It's letter c
multiply the coefficient then just add the degrees of each letter
Draw and label a standard Oblique Triangle, as we’ve done in our previous lessons.
Determine the given congruence, either SAS or SSS, and pick the equation that helps you solve for either a missing side or angle.
Plug into your chosen equation and solve.
The "Law of Cosines" can be used to calculate one side of a triangle when the angle opposite and the other two sides are known. The "Law of Cosines" can be expressed as c2 = a2 + b2 - 2 a b cos C (1)
The cosine rule is an extension of this mathematic principal that makes it effective for non-right triangles and states that in regard to a certain angle, the square of the side of the triangle opposite that angle is equal to the squares of the other two sides added together, minus two times both..
Answer:
Step-by-step explanation:
<u>Complete the square</u>
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Answer:
8 red marbles.
Step-by-step explanation:
All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.
40/5=8
You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .
If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.
1 * 8 = 8 red marbles in the bag
If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.
Example:
If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.
Easy and quick way if you do not need the explanation:
Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8
