Line<span> crosses the y-axis, b, called the y-intercept. when </span>graphing, put thisequation<span> into "y = " form to easily read </span>graphing<span> information. horizontal</span>lines<span> have a slope of zero - they have "run", but no "rise" -- all of the y values are 3.</span>
Answer:
u + v = <7 , 1>
║u + v║ ≅ 7
Step-by-step explanation:
* Lets explain how to solve the problem
- We can add two vector by adding their parts
∵ The vector u is <-4 , 7>
∵ The vector v is <11, -6>
∴ The sum of u and v = <-4 , 7> + <11 , -6>
∴ u + v = <-4 + 11 , 7 + -6> = <7 , 1>
∴ The sum u and v is <7 , 1>
* u + v = <7 , 1>
- The magnitude of the resultant vector = √(x² + y²)
∵ x = 7 and y = 1
∵ ║u + v║ means the magnitude of the sum
∴ The magnitude of the resultant vector = √(7² + 1²)
∴ The magnitude of the resultant vector = √(49 + 1) = √50
∴ The magnitude of the resultant vector = √50 = 7.071
* ║u + v║ ≅ 7
Answer:
yes, the measures are equivalent because the formula for cm to mm is times 10. 9 times 10 is 90.
Step-by-step explanation:
hope this helps! pls mark brainliest!
Here, we are required to determine the equation of the line u which is perpendicular to the line t and passes through the point (8,8).
The equation of the line u is;. y = (-x/4) + 10.
First, the product of the slope of 2 perpendicular lines is negative 1 i.e -1.
M1 × M2 = -1
From observation, the slope of line t given by y = 4x - 8 is equal to 4.
- Therefore, since M1 = 4,
- Then, M2 = -1/4
To get the equation of a line,
Slope, M2 = (y - y1)/(x - x1)
where M2 = -1/4 , y1 = 8 and x1 = 8.
Therefore, -1/4 = (y - 8)/(x - 8).
Therefore, -x + 8 = 4y -32
Therefore, 4y = -x + 40.
Ultimately, the equation of the line u is ;
y = (-x/4) + 10.
Read more:
brainly.com/question/19506739
Given
we are given a function

over the interval [0,5].
Required
we need to find formula for Riemann sum and calculate area under the curve over [0,5].
Explanation
If we divide interval [a,b] into n equal intervals, then each subinterval has width

and the endpoints are given by

For k=0 and k=n, we get

Each rectangle has width and height as

we sum the areas of all rectangles then take the limit n tends to infinity to get area under the curve:

Here




Now Area=

So the required area is 66.6 sq units.