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3 years ago

What is a parallel line

Mathematics

2 answers:

AnnZ [28]3 years ago

8 0

Parallel lines are lines with the same slope. They never touch or intersect with each other.

damaskus [11]3 years ago

6 0

Parallel lines are lines that always the same distance from each other and never intersect

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Sixty students took a math test. The percentages of students who scored an A, B, C, or D are displayed in the circle graph, but

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Answer:

Step-by-step explanation:

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3 years ago

What would be the answer to this question?

sergejj [24]

Answer: the answer would be 66

Step-by-step explanation:

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4 years ago

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There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what

Luden [163]

For the selection to be 10, there has to be at least 3 girls. So there's a 1/4 chance of 3 girls picked, 1/4 4 girls, 1/4 5 girls and 1/4 6 girls. Because the sum of people has to be 10, if 4 girls are picked, to make 10 people there is a 1/1 chance of 6 boys. 1/4 * 1/1 = 1/4. So 1/4 chance of 4 girls and 6 boys

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3 years ago

B Write the coordinate of T after a dilation with a scale factor of 1/4 centered at the origin. 1 10 T х -10 0 S U 10 Write your

Vanyuwa [196]

Answer:

(4, 4)

Step-by-step explanation:

Coordinates of a point (x, y) after dilation with a scale factor k,

Rule to be followed,

(x, y) → k(x, y)

→ (kx, ky)

Coordinates of point T are (8, 8).

Dilation of the point T after dilation with a scale factor of $\frac{1}{4}$ will be,

(8, 8) → $\frac{1}{2}(8, 8)$

→ (4, 4)

Therefore, coordinates of the image point B' will be (4, 4).

3 0

3 years ago

Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = x3 and y = x. (10 points)

USPshnik [31]

See the graph attached.

The midpoint rule states that you can calculate the area under a curve by using the formula:
$M_{n} = \frac{b - a}{2} [ f(\frac{x_{0} + x_{1} }{2}) + f(\frac{x_{1} + x_{2} }{2}) + ... + f(\frac{x_{n-1} + x_{n} }{2})]$

In your case:
a = 0
b = 1
n = 4
x₀ = 0
x₁ = 1/4
x₂ = 1/2
x₃ = 3/4
x₄ = 1

Therefore, you'll have:
$M_{4} = \frac{1 - 0}{4} [ f(\frac{0 + \frac{1}{4} }{2}) + f(\frac{ \frac{1}{4} + \frac{1}{2} }{2}) + f(\frac{\frac{1}{2} + \frac{3}{4} }{2}) + f(\frac{\frac{3}{4} + 1} {2})]$
$M_{4} = \frac{1}{4} [ f(\frac{1}{8}) + f(\frac{3}{8}) + f(\frac{5}{8}) + f(\frac{7}{8})]$

Now, to evaluate your f(x), you need to look at the graph and notice that:
f(x) = x - x³

Therefore:
$M_{4} = \frac{1}{4} [(\frac{1}{8} - (\frac{1}{8})^{3}) + (\frac{3}{8} - (\frac{3}{8})^{3}) + (\frac{5}{8} - (\frac{5}{8})^{3}) + (\frac{7}{8} - (\frac{7}{8})^{3})]$

$M_{4} = \frac{1}{4} [(\frac{1}{8} - \frac{1}{512}) + (\frac{3}{8} - \frac{27}{512}) + (\frac{5}{8} - \frac{125}{512}) + (\frac{7}{8} - \frac{343}{512})]$

M₄ = 1/4 · (2 - 478/512)
= 0.2666

Hence, the <span>area of the region bounded by y = x³ and y = x</span> is approximately 0.267 square units.

6 0

4 years ago