Answer:
Step-by-step explanation:
a). Let the missing term = a
(a + 7) + (2x - 6) = -4x + 1
(a + 2x) + (7 - 6) = -4x + 1
(a + 2x) + 1 = -4x + 1
(a + 2x) = -4x
a = -4x - 2x
a = -6x
So the equation is,
(-6x + 7) + (2x - 6) = -4x + 1
b). (a² + p + 1) - (q + 5a + r) = 4a² -2a + 7
I have assumed p, q and r are the variables at the blank spaces.
(a² - q) + (p - 5a) + (1 - r) = 4a² - 2a + 7
By comparing both the sides of the equation,
a²- q = 4a²
q = a² - 4a²
q = -3a²
p - 5a = -2a
p = -2a + 5a
p = 3a
1 - r = 7
r = 1 - 7
r = -6
So the equation will be,
(a² + 3a + 1) - (-3a² + 5a - 6) = 4a²- 2a + 7
Answer:
I think it is 2028 I am not a 100%
Step-by-step explanation:
Multiply both the numerator and denominator by 
, which is called the "conjugate" of 
:
Why do we pick this number? Recall the difference of squares factorization:
Now replace 
and 
. Then
So in your fraction, you end up with
Finally, just expand the product.
Answer:
1. b=28 m
2. c=34 m
3. Yes
4. No
5. Yes
6. Yes
7. Yes
8. 6.7
9. 7.1
10. 7.1
11. The Pythagorean Theorem can be used to tell the distance between two points, which can be useful when building or traveling.
Step-by-step explanation:
The Pythagorean Theorem is just a^2+b^2=c^2
Answer: 34 meters.
Step-by-step explanation;
Step One. Find the value of the width. Use an equation with w representing the width and the two values you already have. 9 meters x w = 72 square meters.
Step Two. Solve for width. This is w = 8.
Step Three. Use the value for width in a perimeter formula to calculate the perimeter; 9(2) + 8(2). <em>This is 34 meters for perimeter</em>.
