Answer:
Step-by-step explanation:
By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other: 
, or equivalently, 
.
Given our linear equation 3x + y = 3 (or y = -3x + 3):
We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is 
.
To test whether this is correct, we can take first slope, 
, and multiply it with the negative reciprocal slope 
:
Therefore, we came up with the correct slope for the other line, which is .
Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:
Answer:
A
Step-by-step explanation:
We take a look at this expression: 
and notice that both terms are square numbers. 
and 
.
There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares 
, it can always be factored into 
.
Here, we can apply that. In this case, a = 7x and b = 3. So:
Thus, the answer is A.
Hope this helps!
Answer:
you require two numbers m and n such that. x² + bx + c = (x - m)(x - n) where. m + n = b. and. mn = c. In the case where c = 22 and m & n are integers, we have. mn = 22. But, the (positive) …
Step-by-step explanation:
Turn F(x) into vertex form:
y=x^2+8x+6
y-6=x^2+8x
y-6+16=x^2+8x+16
y+10=(x+4)^2
Thus the vertex is (-4,-10)
This is a minimum because the parabola is up up, or is positive
Answer: Estimated standard error for the sample mean difference would be 1.
Step-by-step explanation:
Since we have given that
Mean of MD = 4.90
So, Sum of difference would be
S = 288
n = 9
We need to find the standard error for the sample mean differences.
Estimated standard error for the sampled mean difference would be
Hence, estimated standard error for the sample mean difference would be 1.
