Answer:
A
Step-by-step explanation:
In this question, we are concerned with selecting which of the options best represents the difference of two squares.
Let’s have an exposition below as follows;
Consider two numbers, which are perfect squares and can be expressed as a square of their square roots;
a^2 and b^2
where a and b represents the square roots of the numbers respectively.
Inserting a difference between the two, we have;
a^2 - b^2
Now by applying the difference of two squares, these numbers will become;
a^2 - b^2 = (a + b)(a-b)
So our answer out of the options will be that option that could be expressed as above.
The correct answer to this is option A
Kindly note that;
x^2 -9 can be expressed as x^2 - 3^2 and consequently, this can be written as;
(x-3)(x + 3)
Answer:
I think that A, B, and C are correct.
Step-by-step explanation:
1. Since measures 2 and 3 are a linear pair, they equal 180 degrees. A is correct.
2. Since measures 3 and 4 are also a linear pair, they too equal 180 degrees. B is correct.
3. Measures 2 and 3 are already established to be 180 degrees (check answer 1) , and measures 3 and 4 are also 180 degrees (check answer 2). Since they are both 180 degrees, they are congruent (equal), so C is correct.
D is NOT correct. Measures 1 and 3 are equal because they are vertical angles. We also know that they are acute angles (less than 90) so adding them together will equal less than 180 degrees.
Measures 2 and 4 are equal because they are vertical angles, and they are obtuse (more than 90 degrees). Adding them together will equal more than 180 degrees.
Logic tells us that something less than 180 CANNOT be equal to something more than 180. This proves that 2 and 4 and 1 and 3 are not congruent.
D is WRONG
Answer:
4.2
Step-by-step explanation:
cos65°= adj/hyp
cos65°= x/10
x= cos65° * 10
*make sure your calculator is in degree mode
4.226
Answer:
1 and 5
Step-by-step explanation:
Lets x and y be those numbers, and lets x be 1 more greater then 4 times y. Then we have:
X=1+4y
The sum of the numbers is 6, so
X+y=6
Put first equation in 2nd for x we get:
1+4y+y=6
1+5y=6
5y=5
Y=1+4*1=5
Then x=1+4*1=1+4=5
Answer:
White paint and Red paint = 8 cups and the Whole Batch= 20 cups
Step-by-step explanation:
Ok the white paint is 40% and the blue paint is 20%. Add these together and you get 60%, which means that the other 40% is red paint.
White paint= 40%
Blue paint = 20% (4 cups)
Red paint = 40%
If we look at the blue paint, multiplying that by 2 will make it 40%. This means that the While paint and Red paint both equal 8 cups.
White paint = 8 cups
Blue paint = 4 cups
Red paint = 8 cups.
This comes out to 20 cups of paint. Check with a calculator just to make sure. Hope this helps!
