Answer:
1
Step-by-step explanation:
1) First, place the given equation in slope-intercept form (
format) to find its slope easier. Isolate the y:

So, the equation of the line in slope-intercept form is
. When an equation is in slope-intercept form, the
, or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.
2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.
To find the opposite reciprocal of a number, write the given number as a fraction first -- making -1 be written as
-- then switch the sign and flip the numerator and denominator. So, the opposite reciprocal of -1 is 1, and 1 is the slope of the perpendicular line.
Answer:
78.54
Step-by-step explanation:
Hope this helps!
Answer:
23) x= 3, y = 4
24) Any (x,y) values where x = 1.5 - 2y
Step-by-step explanation:
For the first system(23), it goes like this
[1 2 | 7]
[2 1 | 8]
We need to do L2 = L2 - 2L1, so now it is
[1 2 | 7]
[0 -3 |-6]
So, now we have:
-3y = -6 *(-1)
3y = 6
y = 2
x + 2y = 7
x + 4 = 7
x = 3
Now for system 24, we have:
[-1 2 | 1.5]
[2 -4| 3]
We do L2 = L2 + 2L1, so we have:
[-1 2 | 1.5]
[0 0| 0]
So there are infinite solutions for this system. The solution for this system will be each (x,y) pair where x = 1.5 - 2y.
<u><em>Answer:</em></u>
Mrs. Hong originally had 900 ml of milk
<u><em>Explanation:</em></u>
The complete question is in the attached image
Assume that the amount of milk Mrs. Hong originally had was x ml
<u>We are given that:</u>
1- She used
of it to bake the waffles, <u>therefore</u>:
Amount used in baking waffles =
ml
2- She used 300 ml to bake a pie
3- Amount left is half the original amount, <u>therefore</u>:
Amount left =
ml
<u>We know that:</u>
Total amount = amount used in waffles + amount used in pie + amount left
<u>Substitute with the givens and solve for x:</u>
Total amount = amount used in waffles + amount used in pie + amount left

<u>This means that:</u>
She originally had 900 ml of milk
Hope this helps :)
Answer:
1-1) A=6×5=30m² | P=6×2+5×2=12+10=22m
1-2) A=5×20=100mi² | P=5×2+20×2=10+40=50mi
2-1) A=16×6=96m² | P=16×2+6×2=32+12=44m
2-2) A=20×9=180km² | P=20×2+9×2=40+18=58km
3-1) A=14×17=238yd² | P=14×2+17×2=28+34=62yd
3-2) A=20×18=360mi² | 20×2+18×2=40+36=76mi