Answer:
x = 30
Step-by-step explanation:
here 50 is hypotenuse as it is opposite of 90 degree.
x and x + 10 are the two other smaller sides of a right angled triangle respectively.
using pythagoras theorem,
a^2 + b^2 = c^2
x^2 + (x + 10)^2 = 50^2
x^2 + x^2 + 20x + 100 = 2500
2x^2 + 20x + 100 = 2500
2x^2 + 20x + 100 - 2500 = 0
2x^2 + 20x - 2400 = 0
2(x^2 + 10x - 1200) = 0
x^2 + 10x - 1200 = 0
x^2 + (40 - 30) - 1200 = 0
x^2 + 40x - 30x - 1200 = 0
x(x + 40) - 30(x + 40x) = 0
(x + 40)(x - 30) = 0
either x + 40 = 0 OR x - 30 = 0
x = 0 - 40
x = -40
x - 30 = 0
x = 30
x = -40,30
since the length and distance is not measured in negative ur answer will be 30
credit goes to sreedevi102
thank u very much . At first i was wrong and giannathecookie i m really sorry
Answer:
C.) <-11, -10>
Step-by-step explanation:
Let's define how to work with vectors.
For two vectors:
V = <a, b>
W = <c, d>
The product of a scalar k and a vector is given by:
k*V = k*<a, b> = <k*a, k*b>
And the sum (or difference) of two vectors is given by:
V ± W = <a, b> ± <c, d> = <a ± c, b ± d>
Now that we know this, we can solve the problem.
Here we have the vectors:
u = <2, 1>
v = <5, 4>
then:
2u - 3*v = 2*<2, 1> - 3*<5, 4>
= <2*2, 2*1> - <3*5, 3*4>
= <4, 2> - <15, 12>
= <4 - 15, 2 - 12>
= < -11, -10>
Then the correct option is C.
