<h3>
Answer:</h3>
B. mx−y=−b
<h3>
Step-by-step explanation:</h3>
Start with ...
... y = mx +b
Subtract mx.
... -mx +y = b
You want the leading coefficient positive, so multiply by -1.
... mx -y = -b . . . . matches selection B
Answer:
The length is 90.033 and the angle that v makes with the positive x-axis is 153.339°
Step-by-step explanation:
Firstly we will have to convert our given vectors to their rectangular Cartesian vector form as follow,
Now that we have these, we can add them to obtain v as follows,
Now that we have the Cartesian vector form we can calculate its length and its direction with respect to the positive x-axis as follows(In fact we usually refer the angles from the positive x-axis),
So the length of the vector is 90.033 and the angle it makes with the positive x-axis is 153.339°.
4x - 3y = -11
-7x - 8y = 6
We need to cancel out one of the variables so let's multiply the first equation by 8 and the second by 3 and aim to cancel y.
32x - 24y = -88
-21x - 24y = 18
Now we subtract,
53x = -106
x = -2
3y = 4x + 11 = 4(-2) + 11 = 3
y = 1
Answer: (x,y)=(-2,1)
Check:
4(-2) -3(1) = -8 - 3 = -11, good
-7(-2) - 8(1) = 14 - 8 = 6, good
6^-3 / 6^5
Because the numerator has a negative exponent, use the negative exponent rule b^-n = 1/b^n
To do this move 6^-3 to the denominator:
1 / (6^5 * 6^3)
When you multiply identical numbers with exponents you add the exponents so (6^5 * 6^3) becomes 6^8
Now you have 1 / 6^8
Now raise 6 to the power of 8 to get:
1/1679616
Depending on the format your answer needs to be in you have 3 different answers:
1) 1/6^8 ( Leaving it as an exponent)
2) 1 / 1679616 (As a fraction)
3) 5.9537 x 10^-7 (As a decimal, round as needed)
Answer:
SQ=128
Step-by-step explanation:
