Answer:
the slope is
y = 5x + 3
Step-by-step explanation:
brainliest?
Answer:
8: C
9: D
10: C
11: D
Step-by-step explanation:
On number 8, the pattern is by starting from 3, and squaring it. Then you take that square and square it again. So 3 squared is 9, and then you square 9 which is 9 times 9 giving you 81. Then you square 81 giving you 6561.
9: Negative exponents work by flipping the number upside down, and then doing normal exponential work on the now denominator.
If the number is 5 to the power of -3, you are flipping 5 to 1/5 and then doing 5 to the power of 3 which is 5x5x5 giving you 125. Therefore the answer would be 1/125.
10 is the same thing as number 9 except backwards, so you flip 1/2^3 to 2^-3
11 is similar, except you have 3.471 times 1/10000
So you add 4 zeros in front of the 3.471 turning it into 0.0003471
Answer: x=-40
Step-by-step explanation: Solve for x by simplifying both sides of the equation then isolate the variable!
Hope this helps you out! ☺
<h2>
Answer:</h2>
a. <-13/2,-13/2>
<h2>
Step-by-step explanation:</h2>
The projection of a vector u onto another vector v is given by;
= 
----------------(i)
Where;
u.v is the dot product of vectors u and v
|v| is the magnitude of vector v
Given:
u = <-6, -7>
v = <1, 1>
These can be re-written in unit vector notation as;
u = -6i -7j
v = i + j
<em>Now;</em>
<em>Let's find the following</em>
(i) u . v
u . v = (-6i - 7j) . (i + j)
u . v = (-6i) (1i) + (-7j)(1j) [Remember that, i.i = j.j = 1]
u . v = -6 -7 = -13
(ii) |v|
|v| = 
|v| = 
<em>Substitute these values into equation (i) as follows;</em>
= ![[\frac{-13}{(\sqrt{2}) ^2}][i + j]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B-13%7D%7B%28%5Csqrt%7B2%7D%29%20%5E2%7D%5D%5Bi%20%2B%20j%5D)
= ![\frac{-13}{2} [i + j]](https://tex.z-dn.net/?f=%5Cfrac%7B-13%7D%7B2%7D%20%5Bi%20%2B%20j%5D)
This can be re-written as;
= 
= 
Answer:
40.00
Step-by-step explanation:
