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.
You know b=-6 and since you know this, you can plug -6 in for b.
This would become 4(-6) + 6 divided by 6.
You can then multiply 4 and -6 together,
-24 + 6 / 6
You can then add -24 and 6 together,
-18/6
You can then divide -18 by 6,
-18/6=-3
-3 is your final answer
Answer:
3 : 4 = 12 : 6
2 : 5 = 30 : 75
7 : 9 = 14 : 18
8 : 3 = 64 : 24
Step-by-step explanation:
3 : 4 = 12 : ?
3/4 = 12/?
3 x ? = 12 x 4
3 x ? = 48
? = 48 ÷ 3 = 16
2 : 5 = 30 : ?
2/5 = 30/?
2 x ? = 30 x 5
2 x ? = 150
? = 150 ÷ 2
? = 75
7 : 9 = ? : 18
7/9 = ?/18
7 x 18 = ? x 9
126 = ? x 9
? = 126 ÷ 9
? = 14
8 : 3 = 64 : ?
8/3 = 64/?
8 x ? = 64 x 3
8 x ? = 192
? = 192 ÷ 8
? = 24
Answer:
<em>32.5 m^2</em>
Step-by-step explanation:
B = 377lw
I will use L for length instead of l.
B = 12,252.5 BTU
w = 5 m
First, we find the length.
12,252.5 = 377(L)(5)
12,252.5 = 1885L
L = 6.5
The length is 6.5 m. The width is 5 m.
A = LW = (6.5 m)(5 m) = 32.5 m^2
Answer:
<em>0.5 < x < 15.5</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 15.5
