Answer:
22, 30
Step-by-step explanation:
52/2=26
26-4=22
26+4=30
30+22=52
Answer:
<em>Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.</em>
Step-by-step explanation:
<u>Scaling</u>
The scale factor established to represent a desk 2 meters long and 1 meter wide is:
1 centimeter = 0.5 meter
We need to convert the real dimensions to the scaled dimensions. To complete the task, it's a good idea to multiply the real dimensions by the ratio:
to get the scaled dimensions.
The length of 2 meters is scaled to:
And the width of 1 meter is scaled to:
\displaystyle 1\ m\frac{1\ cm}{0.5\ m}=2 cm
Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.
3.4, 3 + 0.4, three point four
5.8, 5 + 0.8, five point eight
6.2, 6 + 0.2, six point two
Answer:
=========
<h2>Given</h2>
<h3>Line 1</h3>
<h3>Line 2</h3>
- Passing through the points (4, 3) and (5, - 3)
<h2>To find</h2>
- The value of k, if the lines are perpendicular
<h2>Solution</h2>
We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.
Find the slope of line 1 by converting the equation into slope-intercept from standard form:
<u><em>Info:</em></u>
- <em>standard form is ⇒ ax + by + c = 0, </em>
- <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>
- 3x - ky + 7 = 0
- ky = 3x + 7
- y = (3/k)x + 7/k
Its slope is 3/k.
Find the slope of line 2, using the slope formula:
- m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6
We have both the slopes now. Find their product:
- (3/k)*(- 6) = - 1
- - 18/k = - 1
- k = 18
So when k is 18, the lines are perpendicular.
Wow i havent done this since 4th grade, it feels so weird doing it again :)
200,000+ 50,000+ 1,000 + 700 + 20 + 3
