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.
Answer:
The new length is 13.5 meters
Step-by-step explanation:
Here, we are interested in calculating the new length of the cloth she wants to use
What we know from the question is that she is making a reduction of 10% from an initial of 15 meters
Thus, the length she is to use can be calculated by first getting what 10% of 15 meters is
Mathematically, that would be ;
10/100 * 15 = 1.5 meters
We now subtract this from the total of 15 meters
= 15 meters - 1.5 meters = 13.5 meters
Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams
Step-by-step explanation:
Given
Cholesterol in 3.5 ounces = 75 mg
Cholesterol in 6 ounces =x= ?
This can be worked out by using proportions
It can be written as:
Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams
Keywords: Proportions, Conversion
Learn more about proportions at:
#LearnwithBrainly
Answer: 4 apples for $3.64
Step-by-step explanation:
The best buy is going to be the one that costs the least. To figure this out, you divide the number of apples by the price. (do not round)
4/3.64=1.09
9/8.01=1.23
14/12.43=1.12
24/21.12=1.13
As you can see, the 4 apples for $3.64 is the better choice since the number is the least.
Decimal: . 13
Percent : 0.13
