Answer:
C
Step-by-step explanation:
|-12|= 12
this means that it represents a positive number. Each answer represents a positive number other than the town that lies -12 feet below sea level. (sorry if I'm wrong)
Answer:
35
Step-by-step explanation:
Answer:
1. x=-5
2. x=24
3. -1x+19
4. 14w²-4w
5. 5x-15
6. 11a²b-12ab²
7. 6x+4
8. x=15
9. x=-12
10. x=3
11. x=20
Step-by-step explanation:
1.
15x-24-4x=-79 We have to add the like terms
+24 +24
15x-4x=-55 Subtract 15x-4x
11x=-55 Now divide
/11 /11
x=-5
2.
3(2x-5)-4x=33 Use distributive property
6x-15-4x=33 Add like terms
+15 +15
6x-4x=48 Subtract 6x-4x
2x=48 Divide
/2 /2
x=24
3.
6x+4+15-7x Combine 6x and -7x
-1x+4+15 Now combine 4 and 14
-1x+19
4.
6w²+11w+8w²-15w Combine 11w and -15w
6w²+8w²-4w Now combine 8w² and 6w²
14w²-4w
5.
12x-5-7x-11 Combine -5 and -11
12x-7x-15 Now subtract 12x-7x
5x-15
6.
11a²b-12ab²
Nothing else can be done with this equation
7.
2(3x+2)
6x+4
8.
x/5=3
5×3=15
15=x
9.
2/3x=-8
-4×2=-8
-4×3=-12
x=-12
10.
9x-11=-38
+11 +11
9x=-27
/9 /9
x=3
11.
-x/5+3=7
-3 -3
-x/5=4
-x=-20
x=20
Answer: Distance = 4√5
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
<u>Given information</u>
(x₁, y₁) = (-8, -4)
(x₂, y₂) = (0, -8)
<u>Given equation</u>
![Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
<u>Substitute values into the equation</u>
![Distance=\sqrt{(0+8)^2+(-8+4)^2}](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B%280%2B8%29%5E2%2B%28-8%2B4%29%5E2%7D)
<u>Simplify values in the parentheses through addition</u>
![Distance=\sqrt{(8)^2+(-4)^2}](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B%288%29%5E2%2B%28-4%29%5E2%7D)
<u>Simplify exponents</u>
![Distance=\sqrt{64+16}](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B64%2B16%7D)
<u>Simplify by addition</u>
![Distance=\sqrt{80}](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B80%7D)
<u>Simplify the radical value into the simplest form</u>
![Distance=4\sqrt{5}](https://tex.z-dn.net/?f=Distance%3D4%5Csqrt%7B5%7D)
Hope this helps!! :)
Please let me know if you have any questions