Answer:
-7x+14y-35
Step-by-step explanation:
Answer:
The answer to your question is the second option 
Step-by-step explanation:
Expression
![[\frac{(x^{2}y^{3})^{-2}}{(x^{6}y^{3}z)^{2}}]^{3}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28x%5E%7B2%7Dy%5E%7B3%7D%29%5E%7B-2%7D%7D%7B%28x%5E%7B6%7Dy%5E%7B3%7Dz%29%5E%7B2%7D%7D%5D%5E%7B3%7D)
Process
1.- Divide the fraction in numerator and denominator
a) Numerator
[(x²y³)⁻²]³ = (x⁻⁴y⁻⁶)³ = x⁻¹²y⁻¹⁸
b) Denominator
[(x⁶y³z)²]²= (x¹²y⁶z²)³ = x³⁶y¹⁸z⁶
2.- Simplify like terms
a) x⁻¹²x⁻³⁶ = x⁻⁴⁸
b) y⁻¹⁸y⁻¹⁸= y⁻³⁶
c) z⁻⁶
3.- Write the fraction
Answer:
0.006 miles per hour
Step-by-step explanation:
We are given;
Speed in cm per minute ( 17 cm per min)
We are required to convert cm per minute to miles an hour
we need to know that;
1 miles = 160934 cm
1 hour = 60 minutes
We can convert 17 cm to miles and 1 minute to hours
17 cm = 17 ÷ 160934 cm
= 17/160934
1 minute = 1/60 hour
Therefore;
In miles per hour;
= (17/160934) ÷ (1/60)
= 0.00634 miles per hour
= 0.006 miles per hour
Therefore, 17 cm per minute is equivalent to 0.006 miles per hour
Answer:
x = 30°.
Step-by-step explanation:
To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.
Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.
There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:
180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.
(x + 10) + (x + 10) = 80
2x + 20 = 80
2x = 60
x = 30°.
12/16
If you divide 12 by 4 you get 3 and if you divide 16 by 4 you get 4 so that would be 3/4
