Step-by-step explanation:
y = mx + c, where m is the slope of the line and c is the y-intercept.
We have y = 3x - 4 as line L.
Slope of line L = 3
=> Slope of line L2 = -1/3
We have y = -1/3 x + c as our line L2 equation.
When x = 9, y = 5.
=> (5) = -1/3 * (9) + c
=> 5 = c - 3, c = 8
Hence the answer is y = -1/3 x + 8.
Answer:
a) Simple interest paid = $360
b) Total repayment amount = $6360
Step-by-step explanation:
It is given that:
Principal, P = $6000
Rate of interest, R = 2%
Time, T = 3 years
<em>(a) Total interest paid</em>:
<u>Formula</u> for Simple Interest is given as:
Putting the values of P, R and T to find out Simple Interest:
<em>(b) Total repayment amount</em>:
We know that formula for total amount is given as:
<em>Amount = Principal + Simple Interest</em>
Amount = 6000 + 360 = $6360
So, total repayment amount = $6360
So, the answers are:
a) Simple interest paid = $360
b) Total repayment amount = $6360
We know that
If the scalar product of two vectors<span> is zero, both vectors are </span><span>orthogonal
</span><span>A. (-2,5)
</span>(-2,5)*(1,5)-------> -2*1+5*5=23-----------> <span>are not orthogonal
</span><span>B. (10,-2)
</span>(10,-2)*(1,5)-------> 10*1-2*5=0-----------> are orthogonal
<span>C. (-1,-5)
</span>(-1,-5)*(1,5)-------> -1*1-5*5=-26-----------> are not orthogonal
<span>D. (-5,1)
</span>(-5,1)*(1,5)-------> -5*1+1*5=0-----------> are orthogonal
the answer is
B. (10,-2) and D. (-5,1) are orthogonal to (1,5)
Answer:
1/2
Step-by-step explanation:
