Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:
9 - 4 / 6 - (-4)
Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:
4 = (1/2)(-4) + b
Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.
Answer:
x = 2.6
Step-by-step explanation:
To find x, you need to find how many times you need to multiply 25 to get 65. Using reverse operations will make this easier. 65 / 25 = 2.6. We can check this by multiplying 25 by 2.6, and we get 65.
Answer:
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Step-by-step explanation:
Given;
total number of Mr Moretti's students = 18
number of mechanical pencils for each student = m
total number of mechanical pencils for all the students = 18m
number of regular pencils for each student = 2m
total number of regular pencils for all the students = 18(2m)
The total number of pencils given to all the 18 students by Mr Moretti is given by;
T = Total mechanical pencils + total regular pencil
T = 18m + 18(2m)
T = 18(m + 2m)
T = 18(3m)
T = 54m
Therefore, based on the expressions above, the correct options include;
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Answer:
To round a number to the nearest 1000, look at the hundreds digit. If the hundreds digit is 5 or more, round up. If the hundreds digit is 4 or less, round down
Step-by-step explanation:
in option c
rectangle have four right angled and two pair of parallel side
in option b
only one pair of parallel side
