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4 years ago

43.586 rounded to the nearest hundredth

Mathematics

2 answers:

Degger [83]4 years ago

4 0

the answer is 43.59 because the 6 is bigger than four and so then that would add on to the .58 to a .59

garik1379 [7]4 years ago

3 0

So you round to the second decimal place, giving you 43.59

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How can you find the equation of a line that is parallel/perpendicular to a given line

alexdok [17]

In the Slope-Intercept Form, m is the slope and b is the y-intercept.

<u>Finding The Equation of a Line Parallel to the Given Line:</u> Let the given line be line a and the parallel line be line b.

1) Find the slope of line a.

Example: Line a --> $y = 5x + 2$ . The slope is 5.

2) Find the y-intercept of line b.

To do this, you need to be given the coordinates of a point located on line b.

Example: The slope is 5 and the point is (2, 3), use the Slope-Intercept Formula, $y=mx+b$ ---> $3 = 5(2) + b$ . Then you solve for b.

$3 = 5(2) + b$

$3 = 10 + b$

$3 - 10 = 10 - 10 + b$

$-7 = b$ $b=-7$

The y-intercept of line b is -7

3) Finally, plugin the slope and the y-intercept into the Slope-Intercept Form.

Example: The slope of line b is 5 and the y-intercept is -7. The equation of line b is $y = 5x - 7$ .

<u>Finding The Equation of a Line Perpendicular to The Given Line:</u> Let the given line be line a and the perpendicular line be line b.

1) Find the opposite reciprocal of the slope of line a.

Example: Line a --> $y=5x+2$ . The slope is 5, to find the opposite reciprocal of the slope you use n --> $-\frac{1}{n}$ . In this case, it would be $-\frac{1}{5}$ . The opposite reciprocal of the slope of line a is $-\frac{1}{5}$ , which would be the slope of line b.

2) Find the y-intercept of line b.

To do this, you need to be given the coordinates of the point where line a and line b both intersect.

Example: The slope of line b is $-\frac{1}{5}$ and the point is (1, 7), use the Slope-Intercept Formula, $y=mx+b$ ---> $7=-\frac{1}{5}(1) + b$ . Then you solve for b.

$7=-\frac{1}{5}(1) + b$

$7=-\frac{1}{5} + b$

$7+\frac{1}{5}=-\frac{1}{5} + \frac{1}{5} + b$

$7\frac{1}{5} =b$ $b=7\frac{1}{5}$

The y-intercept of line b is $7\frac{1}{5}$ .

3) Finally, plugin the slope and the y-intercept into the Slope-Intercept Form.

Example: The slope of line b is $-\frac{1}{5}$ and the y-intercept is $7\frac{1}{5}$ . The equation of line b is $y=-\frac{1}{5}x+7\frac{1}{5}$ .

4 0

3 years ago

Which values from the given replacement set make up the solution set of the inequality?

k0ka [10]

Answer:

The answer is {4, 5, 6}

Step-by-step explanation: Because u have to do the math step by step with each number thats how u get the answer. And trust me its right because i got a 100%

5 0

3 years ago

Which phrase best describes f(x) graphed on the on the coordinate plane below?

Gennadij [26K]

We know that

Odd function:

When we have

$f(-x)=-f(x)$

Even function:

When we have

$f(-x)=f(x)$

We will reflect our graph about y-axis

When we reflect about y-axis

we will get same graph except same curve moves to bottom

so, this is odd function

option-A........Answer

6 0

4 years ago

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Which of the following options represent the measure of arc ra ?

bixtya [17]

Explanation

For the given question, we will have to apply the rule for lines intersecting inside a circle

We will simply apply the rule

$m Where[tex]\begin{gathered} mPK=2\times32.8=65.6^0 \\ mWe can now get the value of the measure of arc RA[tex]\begin{gathered} 71.4^0=\frac{1}{2}(mRA+65.6^0) \\ cross\text{ multiplying} \\ 2\times71.4^0=mRA+65.6 \\ \\ mRA=142.8^0-65.6^0 \\ mRA=77.2^0 \end{gathered}$

Thus, the measure of the arc RA is 77.2 degrees

Option D is correct

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2 years ago

Which of the following options have the same value as 96% of 25?

Doss [256]

A and B are correct because 96/100 is equivalent to 0.96, which is also 96%.

3 0

3 years ago

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