5,12,13
5X5=25
12X12=144
25+144=169
answer: square root 169=13
When we Simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3], the result obtained is (1/18)x^2
<h3>Data obtained from the question</h3>
- [(x^2)^3 × 5x] / [6x^2 × 15x^3]
- Simplification =?
<h3>How to simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3]</h3>
[(x^2)^3 × 5x] / [6x^2 × 15x^3]
Recall
(M^a)^b = M^ab
Thus,
(x^2)^3 = x^6
- [(x^2)^3 × 5x] / [6x^2 × 15x^3] = [x^6 × 5x] / [6x^2 × 15x^3]
Recall
M^a × M^b = M^(a+b)
Thus,
x^6 × 5x = 5x^(6 + 1) = 5x^7
6x^2 × 15x^3] = (6×15)x^(2 + 3) = 90x^5
- [x^6 × 5x] / [6x^2 × 15x^3] = 5x^7 / 90x^5
Recall
M^a ÷ M^b = M^(a - b)
Thus,
5x^7 ÷ 90x^5 = (5÷90)x^(7 - 5) = (1/18)x^2
Therefore,
- [(x^2)^3 × 5x] / [6x^2 × 15x^3] = (1/18)x^2
Learn more about algebra:
brainly.com/question/2768008
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With pi, repeating decimals, etc. Hope this helped!
Change in temp = -3/h
From noon to 1pm, 1 hour has passed, so temp = 0 degrees - 3 degrees = -3 degrees
From 1pm to 2pm, 1 hour has passed, so temp = -3 degrees - 3 degrees = -6 degrees
From 2pm to 3pm, 1 hour has passed, so temp = -6 degrees - 3 degrees = -9 degrees
From 3pm to 6pm, 3 hours have passed, so temp
= -9 degrees - (3 × 3 degrees)
= -9 degrees - 9 degrees = -18 degrees
Answer:
16 square units.
Step-by-step explanation:
We know that any diagonal of a rhombus divides the rhombus into two equal parts having the same area.
Now. the area of Δ ABC can be calculated from the coordinates of its three vertices.
Here, A(-1,4), B(3,2) and C(-1,0) are given.
Hence, the area of Δ ABC will be
square units.
Therefore, area of the rhombus will be (8 × 2) = 16 square units. (Answer)
Note: If the three vertices of a triangle ABC are given to be (x1,y1), (x2,y2), and (x3,y3), then area of the triangle will br given by
.
