Step-by-step explanation:
Given the expression,
, we want to know which sign placed in between the two polynomial will produce a binomial.
Using a plus (+) sign to check:

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.
Using a plus (-) sign to check:

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.
<em>Hence none of the operations given results in a binomial</em>
If the ride cost $9 then the miles will be 3 miles.
Step-by-step explanation:
In this question we are given:
Cost of one cab ride R = $3
Additional Cost per mile M = $2
So, Total cost of Cab Ride = $3 + $2M
If cost of cab ride is $9 then we need to find the miles
$3 + $2M = $9
Solving
$2M = $9 - $3
$2M = $6
=> M = $6/$2
M = 3 miles
So, if the ride cost $9 then the miles will be 3 miles.
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Keywords: algebraic expressions, solve an equation
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Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Let's start with #12. The hypotenuse is 18. The side adjacent to ∠B is 6. Since we have the adjacent side and hypotenuse, we should use cosine.
cos B = 6/18
Solving for B:
B = cos⁻¹(6/18)
Using a calculator:
B ≈ 70.5°
Now let's do #14. The side adjacent to ∠B is 19, and the side opposite of ∠B is 22. Since we have the adjacent side and opposite side, we should use tangent.
tan B = 22/19
Solving for B:
B = tan⁻¹(22/19)
Using a calculator:
B ≈ 49.2°
Answer:
She is doing a mistake of calculating interest after 9 months in place of after 12 months.
Step-by-step explanation:
Samantha deposit $300 in an account that earns an annual interest rate of 2.5%.
Now, Samantha after nine months of deposit computes the simple interest.
She is doing a mistake of calculating interest after 9 months in place of after 12 months.
The calculation of interest should be on a yearly basis (i.e. 12 months) as the interest rate is 2.5% per year. (Answer)
Answer:
16 cups
Step-by-step explanation: