9514 1404 393
Answer:
-28/45
Step-by-step explanation:
<u>Step 1, the sign</u>
When the fractions have an odd number of minus signs (1, not 0 or 2), the result will be negative. This knowledge lets you ignore the sign while you do the rest of the arithmetic. The appropriate sign is applied to the final numbers.
<u>Step 2, the formula</u>
The ratio (a/b)÷(c/d) is (ad)/(bc). There are several ways you can get there:
⇒ "invert and multiply" or "swap dot"

⇒ "numerators of a common denominator"

⇒ "swapped denominators of a common numerator"

The use of common numerators or common denominators is most often seen when the numerator or denominator of one fraction is a multiple of that in the other fraction. <em>Example</em>: (2/3)÷(1/6) = (4/6)÷(1/6) = 4/1 = 4
<u>Step 3, reduce the result</u>
Any of these fractions is reduced by cancelling common factors from numerator and denominator. Your fractions here don't have any common factors, so there is nothing to cancel.
_____
Your product is ...
(4/9) ÷ (-5/7) = -(4·7)/(9·5) = -28/45
Answer:
y = 2 
Step-by-step explanation:
The exponential function is of the form
y = a 
To find a and b substitute the given points into the equation
Using (0, 2), then
2 = a
⇒ a = 2
Using (1, 6), then
6 = 2
⇒ b = 3
Equation is y = 2 
Answer:
x = 6
y = 45 degrees
Step-by-step explanation:
Here, we want to get the measure of x and y
For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees
This mean y is 45
To get x, we know we have an isosceles triangle
So the length of the third ungiven leg is x too
Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides
(6 √2)^2 = x^2 + x^2
72 = 2x^2
x^2 = 72/2
x^2 = 36
x = √36
x = 6
Answer:
69 over 420
Step-by-step explanation:
trust me