Answer:

Step-by-step explanation:
<u>Slope-intercept form</u> of a linear equation:

where:
- m is the slope
- b is the y-intercept
<u>Given equation</u>:

Therefore, comparing the given equation with the slope-intercept form:
- slope (m) = -2
- y-intercept (b) = -2
The slopes of <u>parallel lines</u> are equal.
Therefore, the slope of the new line is -2.
Substitute the given point (4, 5) and the slope m = -2 into the slope-intercept formula and solve for b:




Finally, substitute the found values of m and b into the formula to create the equation of the line that passes through the given point and is parallel to the given line:

Learn more about the slope-intercept form here:
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Answer:
5
Step-by-step explanation:
Answer:
you would subtract 7.4 from 7.4 and from 10.4 which leaves you with 1.25x=3 and then you would divide both side by 1.25 and that cancels out the 1.25 and leave you with 2.4 and you can plug 2.4 into x and it will equal 10.4
Step-by-step explanation:
Answer:
x=4 x=-5
Step-by-step explanation:
x^2+x-20=0
Factor
What 2 numbers multiply to -20 and add to 1
-4*5 =-20 and
-4+5 =1
(x-4) (x+5) =0
Using the zero product property
x-4 =0 x+5=0
x=4 x=-5
it's 8,
let the no. of tired students be x
add all the numbers of the happy, hungry and in between students and then subtract from the total of the student
which has to look smth like this
happy = 10
so we fill all the numbers in between then we add them and see what's missing
1+3+2 = 6
10-6 = 4
4 students are happy
hungry = 7
1+1+3 = 5
7-5 = 2
2 students are hungry
and lastly for tired, they didn't mention the total so we add all the numbers we got and subtract them by the total of students (just like mentioned above)
2+1+1+3+4+2 = 13
21-13 = 8
8 students were tired
x = 8