Answer:
y=2x-5
Step-by-step explanation:
, and m=2
, -(-5)-Two negatives make it positive, and you distribute the 2
, you now subtract 5 to get y by itself to get your answer of
*NOTE* (0,-5) is the y-intercept, so you could have used the linear equation of y=mx+b, m=2, and b(y-intercept)=-5
giving you y=2x-5
The formula to find the discriminant equals D = b^2-4ac.
(Quadratic equations have the formula ax^2+bx+c. A = -1, B = +4, C = -2.)
D = 4^2-4(-1)(-2). 8-8 = 0.
0 = 1 solution
-D = 0 solutions
+D = 2 solutions
The discriminant equals 0, also establishing that if you were asked to find the solutions, there would only be one.
Simplifying and expressing each term in standard and polar form are respectively; 49/2 and -512 - 512i√3
<h3>How to express an equation in polar form?</h3>
1) We are given the expression;
[7 cos (45)]²
We know that cos (45) in standard form is 1/√2. Thus;
[7 cos (45)]² = (7 * 1/√2)² = 49/2
2) We are given the expression;
(-2 + 2i√3)⁵
Using binomial theorem, we have;
(−2)⁵ + 5(−2)⁴ (2i√3) + 10(−2)³(2i√3)² + 10(−2)²(2i√3)³ + 5 * −2(2i√3)⁴ + (2i√3)⁵
Simplifying each term gives;
−32 + 160i√3 + 960 − 960i√3 −1440 + 288i√3
⇒ -512 - 512i√3
Read more about Polar form at; brainly.com/question/27844433
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