The slope of the line that is perpendicular to 6x + 2y = -32 is: 1/3.
<h3>What is the Slope of Perpendicular Lines?</h3>
The slope of two lines that are perpendicular to each other will always have a product that is equal to -1, which means that their slopes are negative reciprocals to each other.
Rewrite 6x + 2y = -32 in slope-intercept form:
2y = -6x - 32
2y/2 = -6x/2 - 32/2
y = -3x - 16
The slope is -3. Negative reciprocal of -3 is 1/3.
Therefore, the slope of the perpendicular line would be: 1/3.
Learn more about the slope of perpendicular lines on:
brainly.com/question/1362601
#SPJ1
Answer:
the simple interest in both cases is 200 and 756 respectively
Step-by-step explanation:
The computation of the simple interest is shown below:
As we know that
Simple interest = P × r% × t
So
a. Simple interest is
= 2,500 × 8% × 1
= 200
b. The simple interest is
= 4,200 × 6% × 3
= 756
Hence, the simple interest in both cases is 200 and 756 respectively
Answer:
12 cows - 48 legs
4 ducks- 8 legs
- there are many different numbers you can do but if you want to change the numbers and have more ducks then: for every one cow you take away two more ducks.
Step-by-step explanation:
22 total animals
56 total legs
ducks have 2 legs
cows have 4 legs
12 times 4 = 48 ( 12 cows with 4 legs each cow = 48 legs)
4 times 2 = 8 ( 4 ducks with 2 legs each duck = 8 legs)
So, 80 - 8. equals 72 / 2 = 36... then add 36 + 8 to one and you have 44...
44 for length and 36 for width
