Answer:
is the set of infinitely many primitives that a function can have. It is represented by ∫ f(x) dx. It reads: integral of x differential of x. ∫ is the integration sign.
The length of SR is 10 inches ⇒ answer B
Step-by-step explanation:
The median of a triangle is the segment drawn from one vertex to
the mid-point of the opposite side to this vertex
In Δ PQR
1. QS is a median
2. RT is a median
We need to find the length of SR
∵ QS is a median in Δ PQR
∵ PR is the opposite side to vertex Q
∴ S is the mid-point PR
∴ PS = SR
∵ PS = 4x - 2
∵ SR = 2x + 4
∴ 4x - 2 = 2x + 4
- Subtract 2x from both sides
∴ 2x - 2 = 4
- Add 2 to both sides
∴ 2x = 6
- Divide both sides by 2
∴ x = 3
Substitute the value of x in the expression of SR
∵ SR = 2x + 4
∵ x = 3
∴ SR = 2(3) + 4
∴ SR = 6 + 4
∴ SR = 10 inches
The length of SR is 10 inches
Learn more:
You can learn more about triangles in brainly.com/question/3358617
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Answer:
![\left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-12%26-13%2613%26%7C15%5C%5C7%26-10%26-3%26%7C11%5C%5C7%2614%265%26%5C%3A%5C%3A%5C%3A%7C-5%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The system of equations is;
-12x-13y +13z =15
7x-10y-3z = 11
7x+14y +5z = -5
The coefficient matrix is ![\left[\begin{array}{ccc}-12&-13&13\\7&-10&-3\\7&14&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-12%26-13%2613%5C%5C7%26-10%26-3%5C%5C7%2614%265%5Cend%7Barray%7D%5Cright%5D)
The constant matrix is ![\left[\begin{array}{c}15\\11\\-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%5C%5C11%5C%5C-5%5Cend%7Barray%7D%5Cright%5D)
The augmented matrix is ![\left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-12%26-13%2613%26%7C15%5C%5C7%26-10%26-3%26%7C11%5C%5C7%2614%265%26%5C%3A%5C%3A%5C%3A%7C-5%5Cend%7Barray%7D%5Cright%5D)
Answer:
Step-by-step explanation:
∠A=∠B
4X+7=5X-3
X=7+3=10
5*10-3=50-3=47
Answer:
18. <u>0.25</u>
19. <u>0.33</u>
Step-by-step explanation:
<u>Problem 18</u>
- Number of oranges = 2
- Number of fruits = 2 + 6 = 8
- P (orange) = 2/8 = 1/4
- P (orange) = <u>0.25</u>
<u />
<u>Problem 19</u>
- Number of 1 or 6 faces = 2
- Total faces = 6
- P (1 or 6) = 2/6 = 1/3
- P (1 or 6) = <u>0.33</u> (2 DP)