Start by writing the system down, I will use to represent
Substitute the fact that into the first equation to get,
Simplify into a quadratic form (),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be .
Clearly for small coefficients like ours , this is very easy to figure out. To get 5 and 6 we simply say that .
This fits the definition as and .
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form .
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are and .
Hope this helps :)
16% porque all you have to do is multiply 40 by 4% 0.04
Step-by-step explanation:
According to this trigonometric function, −C gives you the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL:
Therefore we have our answer.
Extended Information on the trigonometric function
NOTE: Sometimes, your <em>vertical shift</em> might tell you to shift your graph below or above the <em>midline</em> where the amplitude is.
I am joyous to assist you anytime.
The given partial fraction divided by the fraction of sugar in a scoop is
equal to multiplying the partial fraction by the reciprocal of the fraction.
- The number of scoops of sugar needed is <u>10 scoops</u>.
Reasons:
The amount of sugar the recipe Emma is making needs = 2 1/2 cups
Amount of sugar in each scoop of sugar = 1/4 cups
Required:
The amount of scoops Emma needs to add for the entire recipe
Solution:
The amount of sugar needed = 2 1/2 cups
Amount of sugar per scoop = 1/4 cups/scoop
Therefore;
Which gives;
Therefore;
The number of scoops she needs for the entire recipe is <u>10 scoops</u>
Learn more about division by fractions here:
brainly.com/question/20591763
Answer:
1,728 inches cubed
Step-by-step explanation:
12 * 16 * 9 = 1,728 inches cubed
Formula for volume: LxWxH