Answer:
A
Step-by-step explanation:
The cosine of a right triangle is the adjacent over the hypotenuse. If the cosine is -3/5 then it must be a right triangle with sides 3, 4, & 5 since this is a Pythagorean triple. This means the sin will be -4/5. We know its negative because the tangent is positive so this is the 3rd quadrant where both Sine and Cosine are negative.
Answer:
36 hotdogs
Step-by-step explanation: Let x= number of hot dogs sold to break even
Equation: 57+0.50x=12+1.75x
subtract 12 from both sides: 45+0.50x=1.75x
subtract 0.50x from both sides: 45=1.25x
Divide both sides by 1.25: x=36
Multiply 5 by 2 since there are two 5's and do the same to 8 as well. You would then add the #'s together (10+16) to get your perimeter, 26.
The match of the multiplication problem with the simplified expressions is as follows:
- 4x(4x²-x+3) ⇒ 16x³ - 4x² + 12x
- (8x + 1)(2x -3) ⇒ 16x² - 22x - 3
- (2x + 3) (8x² - 4x + 3) ⇒ 16x³ + 16x² - 6x + 9
<h3>Multiplication of polynomial expressions.</h3>
The process involved in multiplying polynomial expression requires using all the parameters in parentheses to multiply each other.
From the given information:
By using distributive law m(a+b+c) = ma + mb + mc
= 16x³ - 4x² + 12x
(8x + 1)(2x -3)
By applying FOIL method: (a+b)(c+d) = ac + ad + bc + bd
= (8x (2x)) + (8x(-3)) + (1 × 2x) + (1 × (-3))
= 16x² - 22x - 3
4x² (4x)
Applying exponent rule; 
(2x + 3) (8x² - 4x + 3)
Using distributive parentheses:
= 2x(8x² - 4x + 3) + 3(8x² - 4x + 3)
= 16x³ + 16x² - 6x + 9
Learn more about polynomial expressions here:
brainly.com/question/2833285
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Answer:
17s + 5t
Step-by-step explanation:
Simple. There are two variables that can be added. Also another that can't be added. Add the two variables and the other one and you've got the answer.
