Answer:
D
Step-by-step explanation:
Brainliest?
Answer:
![\boxed {\boxed {\sf d=\sqrt{170} \ or \ d\approx 13.04}}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20d%3D%5Csqrt%7B170%7D%20%5C%20or%20%5C%20%20d%5Capprox%2013.04%7D%7D%7D)
Step-by-step explanation:
We are asked to find the length of a segment or the <em>distance</em> between the 2 points. The formula for distance is:
![d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2)
where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:
- x₁= -5
- y₁= 4
- x₂= 6
- y₂ = -3
Substitute the values into the formula.
![d= \sqrt{(6--5)^2+(-3-4)^2](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B%286--5%29%5E2%2B%28-3-4%29%5E2)
Solve inside the parentheses.
- 6--5 (Back to back negative signs become a positive)= 6+5 =11
- -3-4= -7
![d= \sqrt{(11)^2+(-7)^2](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B%2811%29%5E2%2B%28-7%29%5E2)
Solve the exponents.
- (11)²= 11*11= 121
- (-7)²= -7*-7= 49
![d= \sqrt {(121)+(49)](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%20%7B%28121%29%2B%2849%29)
Add.
![d= \sqrt {170}](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%20%7B170%7D)
![d=13.0384048104](https://tex.z-dn.net/?f=d%3D13.0384048104)
Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.
![d\approx 13.04](https://tex.z-dn.net/?f=d%5Capprox%2013.04)
The length of the segment is <u>√170</u> or approximately <u>13.04. </u>
Consumer rights are aimed at ensuring that every citizen purchases goods safely and can stand behind all kinds of economic difficulties of citizens.
# ServetPaşaM
Answer:getting rid of the constant
Step-by-step explanation: