Answer:
y ≥ -2x + 2.5
Step-by-step explanation:
It's kind of hard to tell because no points are given on the graph, but we can first find the b value of 2.5 in the equation y = mx +b as it is the y-intercept.
Using that value, we can also recognize that at one, it looks like the y-value is .5. using our slope formula (change in y / change in x), we can plug in the two points of (0, 2.5) and (1, 0.5) to get a slope of -2.
Now that we have our equation, we can make it an inequality!
Since the graph is shaded upwards, we know it is going to be a greater than symbol, and since the line itself solid and not dotted, we know that the points on the line are also solutions, meaning that it is also equal to the line
Hence, we get the ≥ sign.
Putting it all together, we get our final equation of y ≥ -2x + 2.5 ! :))
It's the gradual corruption of data<span> due to non-critical failures in the </span>data<span> storage area.</span>
Given:
Point P is the incenter of triangle HKM.
To find:
The measure of JP.
Solution:
In triangle MNP, using Pythagoras theorem, we get
Taking square root on both sides, we get
Side cannot be negative. So,
Point P is the incenter of triangle HKM.
[Incenter is equidistant from each side of triangle]
Therefore, the value of JP is 7 units.
Answer:
252 minutes
Step-by-step explanation:
All lawns are the same size, so it doesn't matter the exact size of the each lawn. Ignore the 0.2 acre size.
He started the first house at 9:00 AM and the sixth house at 10:00 AM.
Read the sentence above carefully. He started the first lawn at 9:00 AM. Since he started the sixth lawn at 10:00 AM, that means he finished the fifth lawn at 10:00 AM. In 1 hour, from 9:00 AM to 10:00 AM, he did 5 lawns.
1 hour = 60 minutes
60 minutes per 5 lawns = 60/5 minutes/lawn
which can be reduced to
12 minutes per lawn
His unit rate is 12 minutes/lawn.
Now you multiply his unit rate by the number of lawns, 21 of them, to find the number of minutes to spray 21 lawns.
12 minutes/lawn * 21 lawns = 252 minutes
Answer: 252 minutes
In order to multiply a matrix by another matrix, we multiply the rows in the first matrix by the columns in the other matrix (How this is done is shown below)
To determine the pairs of matrices that AB=BA, we will determine AB and BA for each of the options below.
For the first option
and
∴ AB≠BA
For the second option
and
Here AB = BA
For the third option
and
Here also, AB=BA
For the fourth option
and
Here, AB≠BA
Hence, it is only in the second and third options that AB = BA
and
Learn more on matrices multiplication here: brainly.com/question/12755004