9514 1404 393
Answer:
= -8x +24w +16
Step-by-step explanation:
The factor outside multiplies each term inside parentheses.
-8(x -3w -2) = (-8)(x) +(-8)(-3w) +(-8)(-2)
= -8x +24w +16
Answer:
see explanation
Step-by-step explanation:
We require 2 equations with the recurring decimal placed after the decimal point.
let x = 0.7272.... (1) ← multiply both sides by 100
100x = 72.7272... (2)
Subtract (1) from (2) thus eliminating the recurring decimal
99x = 72 ( divide both sides by 99 )
x =
= ![\frac{8}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B11%7D)
Answer:
Correct answer is:
b) (-5, -3)
Step-by-step explanation:
Given that area of square is <em>36 </em>and one sides lies along the line <em>y = 3</em>
<em>To find:</em>
Possible location of a vertex can be = ? Answer to be chosen from the options:
a) (9, 4)
b) (-5, -3)
c) (6, 5)
d) (3, 6)
<u>Solution:</u>
First of all, let us try to find the side of square.
![Area = Side^2 \\\Rightarrow Side^2 = 36\\\Rightarrow Side = 6](https://tex.z-dn.net/?f=Area%20%3D%20Side%5E2%20%5C%5C%5CRightarrow%20Side%5E2%20%3D%2036%5C%5C%5CRightarrow%20Side%20%3D%206)
Now, given that one side lies on the line y = 3 that means 2 of its coordinates will have their y - coordinates as 3.
Now, we know that all the angles of a square are
.
So, coordinates of adjacent vertices will have a change in only x value or either y value.
Therefore, we can say that The other two coordinates of the square will have the y coordinates the value either 3 + 6 = 9 or 3 -6 = -3
One such possible square is attached in the answer area.
possible location of the one of the vertex is:
<em>b) (-5, -3)</em>
Answer: 30 mph.
Total speed = S1 + S2
where total speed is
for the average speed goal (60m ph), S1 is the speed for the first mile (30 mph)
and S2 is for speed for the second mile which is unknown. To solve, simply subtract
S1 from total speed.
<span>60 mph - 30 mph= 30 mph</span>