Answer:
Step-by-step explanation: Answer
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tereso536
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Answer:
The Product Sum method of factoring we use on trinomials (ax2+bx+c) with the value of a=1. This is the method that is probably used the most.
example: x2+7x+12 The product is the a value times the c value. In this case 12.
The sum is the b value. In this case 7.
Find the two numbers that multiply to 12 (the product) andadd to 7 (the sum). +4 and +3
These are your two factors. In your two binomials put the x in front and the factors in the back. (x+4)(x+3)
This is your factored expression. To check FOIL back out.
Why does this work???
example:
x2-4x-12
p= -12
s= -4 factors are -6 and +2
so factored answer is (x-6)(x+2)
example:
I'm thinking of a number that could be solved by x2+10x+16=0. What could the number be?
p=16
s=10 factors are +8 and +2
(x+8)(x+2)=0
so either x+8=0 or x+2=0 so either x= -8 or -2 is the
number.
Answer:
True
Step-by-step explanation:
Cant really provide step by step per se.
First off, you can rewrite your equation like so: c=(a-b)x. You can then plug in your given constraints for your choices. If a-b = 1 and c = 0 leaving: 0=1(x), x must equal 0 and only 0 as any constant multiplied by 0 equals 0. So that choice is eliminated. Now let's consider when a=b and c != 0. Since we are given a-b and a=b and c != 0, we have:
c = 0x. This contradicts our claim we made about our constraints. C cannot equal zero but we have a-b=0. Therefore, this claim makes no sense as any value for x will not satisfy the equation. This choice is valid. When a=b and c=0, we have: 0 = 0x. Here, x can be any value and still return 0 as an answer. This choice is valid. If a-b=1 and c != 1, we have: c = 1x. Our only rule here is that c cannot equal 1. This means that x can be any value other than 1 so this choice can be marked down. If a != b and c=0, this gives: 0 = (a-b)x. Given that a-b can be any value, x must be equal to only 0 to satisfy this equation so this choice can't be correct. So the right answers are: option 2, option 3, option 4 and option 5.
Answer:
6 3/16 in²
Step-by-step explanation:
Area of rectangle = width x length
Given:
width = 2 3/4 in
length = 2 1/4 in
⇒ area = 2 3/4 × 2 1/4 = 11/4 × 9/4 = 99/16 = 6 3/16 in²
2sinxcosx is equal to sin(2x)
therefore,
= sin(2x)/cos(2x)
= tan(2x) (ANSWER)
