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3 years ago

In 0.724, which digit is in the thousandths place?

Mathematics

1 answer:

ikadub [295]3 years ago

6 0

Answer:

Step-by-step explanation:

after the dot it goes tenths hundredths thousandths and so on

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Which description compares the vertical asymptotes of function A and function B correctly?

neonofarm [45]

Answer:

Option B:

Function A has a vertical asymptote at x = 1

Function B has a vertical asymptote at x = -3

Step-by-step explanation:

A function f(x) has a vertical asymptote if:

$\lim_{x \to\\k^+}f(x) = \±\infty\\\\ \lim_{x \to\\k^-}f(x) = \±\infty$

This means that if there is a value k for which f(x) has infinity or a -infinity then x = k is a vertical asymptote of f(x). Therefore, the closer x to k approaches, the closer the function becomes to infinity.

We can calculate the asymptote for function A.

$\lim_{x \to \\1^+}(\frac{1}{x-1})\\\\ \lim_{x \to \\1^+}(\frac{1}{1^-1})\\\\ \lim_{x \to \\1^+}(\frac{1}{0}) = \infty\\\\and\\ \lim_{x \to \\1^-}(\frac{1}{x-1})\\\\\lim_{x \to \\1^-}(\frac{1}{0}) = -\infty$

Then, function A has a vertical asymptote at x = 1.

The asymptote of function B can be easily observed in the graph. Note that the function b is not defined for x = -3 and when x is closest to -3, f(x) approaches infinity.

Therefore x = -3 is asintota of function B.

Therefore the correct answer is option B.

8 0

3 years ago

What is the range of (0,1),(1,-1),(2,-1)

GalinKa [24]

Answer:

(1,-1)

Step-by-step explanation:

6 0

3 years ago

Using the distance formula, find the distance between these two points. Round to the nearest tenth. (8,9) and (3,2)

Masja [62]

Answer:

The answer is

<h2>8.6 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8,9) and (3,2)

The distance between them is

$d = \sqrt{( {8 - 3})^{2} + ( {9 - 2})^{2} } \\ = \sqrt{ {5}^{2} + {7}^{2} } \\ = \sqrt{25 + 49} \\ = \sqrt{74} \: \: \: \: \: \: \: \: \: \: \\ = 8.60232...$

We have the final answer as

<h3>8.6 units to the nearest tenth</h3>

Hope this helps you

4 0

4 years ago

what is the area, in square inches, of the largest triangle that can fit into a 3-inch by 4-inch rectangle. please show how you

AnnyKZ [126]

The area of the largest triangle would be 6 inches².

How did I get this? I'll explain first:

We would want our triangle to have the longest sides, so it can be big. If you think of a rectangle, a triangle can fit into it if:

The base (bottom) of the triangle is the same length as one side of the rectangle, and the other side of the triangle is perpendicular (90°) to the bottom and is the same length of the other side of the rectangle.

Okay, just picture it: two sides of the triangle are resting in the two sides of the rectangle, and the third side of the triangle is a line that splits the rectangle in half from one corner to the other.

I've added an image to explain.

The formula to find the area of a triangle is half of the base × height.

A of Δ = half of 3 × 4
A = 1.5 × 4 = 6 inches²!

4 0

3 years ago

In a blueprint for a house, the scale is 1 inch = 5 feet. In the blueprint, one room

Dimas [21]

for each inch is 5 feet, so for each 0.5 aka 1/2 inch, it would be 2.5 inches

2in: 5+5=10ft

2.5in: 5+5+2.5=12.5ft

or just simply mutiply by 2

2(5)= 10ft

2.5 inches so 2.5(5)=12.5

The dimensions of the actual room are 10 feet by 12.5 feet

5 0

3 years ago