Vector u has its initial point at (15, 22) and its terminal point at (5, -4). Vector v points in a direction opposite that of u,
and its magnitude is twice the magnitude of u. What is the component form of v?
1 answer:
Though the vectors are going in opposite directions, their terminal and starting points are the same, just switched, check the picture below.
recall the component for (a,b), (c,d) is just (c-a , d-b),
the component form for "v" is then
(5, -4), (15, 22) => (15 - 5, 22-(-4)) => (15 - 5, 22+4) => (10 , 26).
and since "v" is twice as long as "u", then its form is 2v, or
2(10 , 26) => (20, 52)
recall the component for (a,b), (c,d) is just (c-a , d-b),
the component form for "v" is then
(5, -4), (15, 22) => (15 - 5, 22-(-4)) => (15 - 5, 22+4) => (10 , 26).
and since "v" is twice as long as "u", then its form is 2v, or
2(10 , 26) => (20, 52)
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Answer:
A) Real Roots
B) Imaginary Roots
C) Equal Roots
D) Unequal Roots
E) Rational Roots
F) Irrational Roots
Step-by-step explanation:
The equation with one variable , in which the highest power of variable is two , is know as QUADRATIC EQUATION
ex - 3x² + 4x + 7 = 0
Every quadratic equation gives to values of unknown variables and these values is called roots of equation .
The quadratic equation have three roots :
A) Real Roots
B) Imaginary Roots
C) Equal Roots
D) Unequal Roots
E) Rational Roots
F) Irrational Roots
The nature of Roots depends entirely on the value of it Discriminant
If D = 0 , Roots are real and equal
If D , roots are real and unequal
If D ,roots are imaginary
where D = b² - 4ac for any quadratic equation ax² + bx + c = 0
Answer
Answer: First Option
Walter needs to make at least 5 more cookies but no more than 40
Step-by-step explanation:
If we call x the number of cookies that Walter needs to make, then we know that the amount of cookies will be:
Then this amount must be greater than or equal to 20 and must be less than or equal to 55 then.
and
This is:
We solve the inequality for x.
Then the amount of cookies that Walter must make must be greater than or equal to 5 and less than or equal to 40