Answer:
x = 6, y = -8
Step-by-step explanation:
First we take the equations side by side and put them like this:
6x + 2y = 16
+ 2x - 2y = 32
8x = 48
Then solve for x.
x = 6
Then insert x back into either equation
2(5) - 2y = 32
10 - 2y = 32
solve for y,
y = -10
Answer:
4π ≈ 12.5663706144
Step-by-step explanation:
The circumference of a circle is 2πr, or 2*pi*radius
Suppose the circle has a diameter of 4 inches. A diameter is 2x the radius, of which we are looking for, therefore:
4÷2=<u>2 inches</u> (radius length)
Now that we have the radius, let us <u>substitute</u> to find the circumference:
2πr=
2π2=
4π≈
<u>12.5663706144</u>
<u></u>
<em>I hope this helped! Let me know if you have any further questions :)</em>
Answer:
700
Step-by-step explanation:
For this one I'll do estimates. 271 estimated would drop down to 270. And 425 would bump up to 430. Adding 270 and 400 you would get a round number of 700!
Hope this helped.
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
Replace m with 46x10^4 in the equation and solve.
0.036(46x10^4)^3/4 = 635.87
Round to 636
The answer is A.
