Answer:
x = 34.9 to the nearest tenth.
Step-by-step explanation:
tan 64 = opposite side / adjacent side = x / 17.
x = 17 * tan 64
= 34.855
Answer: Answers are in the steps read carefully!
Step-by-step explanation:
A) 3x^2 - 7x + 2 To factor this polynomial, you have to find two numbers that their product is 6 and their sum is -7. The numbers -1 and -6 works out because -6 times -1 is 6 and -6 plus -1 is -7.
Now rewrite the polynomial as
3x^2 - 1x - 6x + 2 Now group it
(3x^2 - 1x) (-6x+2) Factor it by groups
x (3x -1) -2(3x -1) Now factor out 3x-1
(3x -1) (x-2) Done!
B) 2x^2 - x -3 Now the same way.You will have two numbers that their product is -6 and their sum is -1. You may be wondering how I get -6 .I get -6 by multiply the leading coefficient 2 by the constant -3. The numbers -3 and 2 works out. Because -3 times 2 is -6 and -3 plus 2 is -1.
Rewrite the polynomial as
2x^2 +2x - 3x -3 GRoup them and factor them
(2x^2 + 2x) (-3x-3)
2x(x+1) -3(x+1) Factor out x+1
(x+1) (2x -3) Done!
C) 3x^2 - 16x - 12 Find two numbers that their product is -36 and their sum is -12. The numbers -18 and 2 works out because -18 times 2 is -36 and -18 plus 2 is -16.
Rewrite the polynomial
3x^2 +2x -18x - 12 GRoup them
(3x^2 + 2x) (-18x - 12) Factor them
x (3x +2) -6(3x +2) Factor out 3x+2
(3x+2) (x -6) Done !
The ordered pair that represents a maximum is (5,189)
The relation represented by the arrow diagram is {(-3, 4), (-1, 5), (0, 7), (2, 2), (5, 7)}.
Option: C.
<u>Step-by-step explanation:</u>
A function is a relation in which each input value(domain) results in one output value(range). It is represented diagrammatically using the mapping method.
It shows how each element of domain and range are paired. That is like a flowchart it shows the input values marking its corresponding output value.
In the given diagram,
The values given in the left are domain and values given in the right are range.
Thus, -3 marks to 4, then can be written as (-3,4).
Similarly,
-1 marks 5 = (-1,5).
0 marks 7= (0,7).
2 marks 2= (2,2).
5 marks 7 =(5,7).
⇒ The complete points sequence is {(-3, 4), (-1, 5), (0, 7), (2, 2), (5, 7)}.
Answer:
11 and 12
Step-by-step explanation:
x=smaller
y=larger
2y=3x-9 x+1=y
2(x+1)=3x-9
2x+2=3x-9
11=x
11+1=y
12=y
