Answer:
19.41 units
Step-by-step explanation:
<u>Given coordinates of points;</u>
To determine the distance between the two points, the distance formula is required. The distance formula is used where it is not possible to calculate the distance through a straight line. The distance formula is expressed as,
- ⇒

The distance between the two points can be determined by plugging the coordinates into the formula;
- ⇒

- ⇒
![\sqrt{[-6 - (-10)]^{2} + [-10 - 9]^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-6%20-%20%28-10%29%5D%5E%7B2%7D%20%2B%20%5B-10%20-%209%5D%5E%7B2%7D%20%20%7D)
Then, we can simplify the root as needed to determine the distance;
Finally, we need to convert the root into decimals (stated in question). It is impossible to determine the root in decimal form. Therefore, I used a calculator to determine the distance in decimal form.
- ⇒
≈ 19.41 units [Using calculator]
Therefore, the distance between the two points is about 19.41 units.
answer:
Simplifying Y2 + -20X + -6y + -51 = 0
Reorder the terms: -51 + -20X + Y2 + -6y = 0
Solving -51 + -20X + Y2 + -6y = 0
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '51' to each side of the equation. -51 + -20X + Y2 + 51 + -6y = 0 + 51
Reorder the terms: -51 + 51 + -20X + Y2 + -6y = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -20X + Y2 + -6y = 0 + 51 -20X + Y2 + -6y = 0 + 51
Combine like terms: 0 + 51 = 51 -20X + Y2 + -6y = 51
Add '-1Y2' to each side of the equation. -20X + Y2 + -1Y2 + -6y = 51 + -1Y2
Combine like terms: Y2 + -1Y2 = 0 -20X + 0 + -6y = 51 + -1Y2 -20X + -6y = 51 + -1Y2 Add '6y' to each side of the equation. -20X + -6y + 6y = 51 + -1Y2 + 6y Combine like terms: -6y + 6y = 0 -20X + 0 = 51 + -1Y2 + 6y -20X = 51 + -1Y2 + 6y Divide each side by '-20'. X = -2.55 + 0.05Y2 + -0.3y Simplifying X = -2.55 + 0.05Y2 + -0.3y
The answer is d, the factor pairs of 24 are (1,24), (2,12), (3,8), and (4,6)
Step-by-step explanation:
area of a triangle is (bh)/2
b=base
h=height
2.1=(2h)/2
2.1=height
Hope that helps :)