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4 years ago

Round 896.703 to the nearest hundredth.

Mathematics

1 answer:

avanturin [10]3 years ago

7 0

Answer:

896.700

Step-by-step explanation:

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the equation of the line that is perpendicular to the line with equation y=-2x-1 and passes through the point (1, -2) is?

kolezko [41]

Answer:

$y=\frac{1}{2} x-\frac{5}{2}$

Step-by-step explanation:

Hi there!

<u>Note that</u>:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Perpendicular lines always have slopes that are negative reciprocals of each other (ex. 3 and -1/3, 5/6 and -6/5, etc.)

<u>1) Determine the slope (m)</u>

When we look at the given line, $y=-2x-1$ , we can identify that -2 is in the place of m, the slope of the line. Because perpendicular lines are negative reciprocals of each other, we know that a line perpendicular to this would have a slope of $\frac{1}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{1}{2} x+b$

<u>2) Determine the y-intercept (b)</u>

$y=\frac{1}{2} x+b$

Plug in the given point (1,-2)

$-2=\frac{1}{2}(1)+b\\-2=\frac{1}{2}+b$

Subtract 1/2 from both sides

$-2-\frac{1}{2}=\frac{1}{2}+b-\frac{1}{2}\\-\frac{5}{2} = b$

Therefore, the y-intercept of the line is $-\frac{5}{2}$ . Plug this back into $y=\frac{1}{2} x+b$

$y=\frac{1}{2} x-\frac{5}{2}$

I hope this helps!

5 0

3 years ago

Find the slope and y-intercept of the equation. y= 2/3x + 1

evablogger [386]

Answer:

The answer is A.

Step-by-step explanation:

In a linear equation, y = mx + b, m is represented as gradient (slope) and b is the y-intercept.

So for this question, m is 2/3 and b is 1.

4 0

4 years ago

Point A is at-4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?

galben [10]

The point that divides AB into a 3:2 ratio is calculated by (d) for a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2

<h3>How to determine the ratio?</h3>

The given parameters are:

A = -4

B = 6

Start by calculating the length AB using:

AB = |B - A|

This gives

AB = |6 -(-4)|

Evaluate

AB = 10

Next, the length is divided into 5 parts.

So, the length of each part is:

Length = 10/5

Length = 2

The point on the location 3 : 2 is then calculated as:

Point = A + 3 * Length

This gives

Point = -4 + 3 * 2

Evaluate

Point = 2

The above computation is represented by option (d)