Answer:
I came to the answer of 6.
Answer:
D. y = -1/4x + 3
Step-by-step explanation:
If the line is perpendicular, it will have a opposite reciprocal slope.
So, the slope will be -1/4.
Plug in this slope and the given point into y = mx + b, and solve for b:
y = mx + b
-6 = -1/4(12) + b
-6 = -3 + b
-3 = b
Plug in the slope and y intercept into y = mx + b
y = -1/4x - 3
So, the correct answer is D. y = -1/4x + 3
The sum of the polynomials 2n³ + 4n² - 7 and -n³ + 8n - 2 will be n³ + 4n² + 8n - 9. Then the correct option is B.
<h3>What is polynomial?</h3>
A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomials are given below.
2n³ + 4n² - 7 and -n³ - 8n - 2
The sum of the polynomials will be
⇒ 2n³ + 4n² - 7 + (-n³ - 8n - 2)
⇒ 2n³ + 4n² - 7 - n³ - 8n - 2
⇒ n³ + 4n² - 8n - 9
The sum of the polynomials 2n³ + 4n² - 7 and -n³ + 8n - 2 will be n³ + 4n² - 8n - 9.
Then the correct option is B.
More about the polynomial link is given below.
brainly.com/question/17822016
#SPJ1
For the experiment, you need 2L of cola. Your first option would be to purchase 1 2L bottle of cola for $2.25.
To calculate the second option, let's convert milliliters to liters first. There are 1,000 milliliters in 1 liter. With this, we know that there are 2,000 milliliters in 2 liters. Option 2 comes in 500-milliliter cans, which means that you would need 4 of them (2,000/500 = 4). 4 cans multiplied by $0.50 would cost you $2.00.
Let's check the cost of your answer options.
A. 4 cans - As seen above, this would cost $2.00.
B. 1 bottle - From the question, we know this would cost $2.25.
C. 2 bottles - This would be more soda than you need and would cost $4.50 ($2.25x2)
D. 1 can - This would be .5L and not enough soda for the experiment.
E. 5 cans - This would cost $2.50, but would be an extra 500mL of soda.
F. 2 cans - This would only be 1L of soda and not enough for the experiment.
G. 3 cans - This would be 1.5L of soda and not enough for the experiment either.
For the best price option, you would choose A (four cans of soda). This would give you the amount of soda that you need at the lowest price.
Answer:
set two equation of line y=ax+b and y=cx+d
when these two lines are perpendicular to each other, then a*c=(-1)
set answer is y=ax+b
we can know that a=1/6
bring in a=1/6 and(-4,5)
5=(1/6)*(-4)+b
=>5=(-2/3)=b
=>b=5 2/3
answer is y=(1/6)x+5 2/3
