Using Vieta's Theorem, it is found that c = 72.
<h3>What is the Vieta Theorem?</h3>
- Suppose we have a quadratic equation, in the following format:
The Theorem states that:
In this problem, the polynomial is:
Hence the coefficients are .
Since the difference of the solutions is 1, we have that:
Then, from the first equation of the Theorem:
Now, from the second equation:
To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978
Talking about a parallelogram, we know that:
opposite sides and angles are congruent
in the picture below:
∠A = ∠C
AD = BC
if one angle is right, then the rest are right as well (making it a rectangle/square)
The consecutive angles are supplementary (meaning they add up to 180)
A + D = 180°
If y and w are consecutive angles, then
w = 180 - 32
=148°
If they are opposite angles, w = 32° (congruent angles)
Answer:
the last one
Step-by-step explanation:
Answer:
x = 8, y = 4
Step-by-step explanation:
To find x use the sine ratio in the right triangle and the exact value
sin60° = , thus
sin60° = = = ( cross- multiply )
x × = 8 ( divide both sides by )
x = 8
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To find y use the tangent ratio in the right triangle and the exact value
tan60° = , thus
tan60° = = = ( multiply both sides by y )
4 = y × ( divide both sides by )
y = 4
Answer:
y = 4x - 1
Step-by-step explanation:
The line has a slope of 4.
And passes through the point (1,3)
Taking another point (x,y) on the line;
= 4
y - 3 = 4x - 4
y = 4x - 4 + 3
y = 4x - 1