Answer:
10. y=2x+1 y = -1/2x +1
11. y=-1/3x +6 y = 3x -4
12. y=-5x-18 y=1/5x + 14/5
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope, we use the slope from the equations for parallel lines and modify it for perpendicular lines.
10. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is 2. The parallel slope is 2 and the perpendicular slope is the negative reciprocal or -1/2.
Parallel Perpendicular
(y-1)=2(x-0) (y-1)==-1/2(x-0)
y-1=2x y-1 = -1/2 x
y=2x+1 y = -1/2x +1
11. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is -1/3. The parallel slope is -1/3 and the perpendicular slope is the negative reciprocal or 3.
Parallel Perpendicular
(y-5)=-1/3(x-3) (y-5)=3(x-3)
y-5=-1/3x+1 y-5 = 3x - 9
y=-1/3x +6 y = 3x -4
12. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is -5. The parallel slope is -5 and the perpendicular slope is the negative reciprocal or 1/5.
Parallel Perpendicular
(y-2)=-5(x--4) (y-2)=1/5(x--4)
y-2=-5(x+4) y-2 = 1/5(x +4)
y-2=-5x -20 y-2 = 1/5x +4/5
y=-5x-18 y=1/5x + 14/5
Max learned 125 new spelling words i know this becuse 25 times 5 is 125
-7 * 3 = -21 so the answer is
-3 3/7
Answer:
A.) TRUE
B.) TRUE
C.) FALSE
D.) FALSE
E.) FALSE
Step-by-step explanation:
Given that :
SMARTPHONE A:
RAM : 256 MB
ROM : 32 GB
CAMERA RESOLUTION : 8 MP
SMARTPHONE B:
RAM : 288 MB
ROM : 64 GB
CAMERA RESOLUTION : 4 MP
SMARTPHONE C:
RAM : 128 MB
ROM : 32 GB
CAMERA RESOLUTION : 5 MP
Determine the truth value of each of these propositions.
A) Smartphone B has the most RAM of these three smart- phones.
TRUE ; 288 > (256 and 128)
B) Smartphone C has more R O M o r a higher resolution camera than Smartphone B.
C ROM > B ROM = FALSE
C CAMERA RESOLUTION > B camera resolution = TRUE
FALSE or TRUE = TRUE
C.) Smartphone B has more RAM, more R OM, and a higher resolution camera than Smartphone A.
RAM = TRUE ; ROM = TRUE ; CAMERA RESOLUTION = FALSE
TRUE and TRUE and FALSE = FALSE
d) If Smartphone B has more RAM and more R O M than Smartphone C, then it also has a higher resolution camera.
CAMERA RESOLUTION ON SMARTPHONE B IS LESS, HENCE, STATEMENT = FALSE
e) Smartphone A has more RAM than Smartphone B i f and only if Smartphone B has more RAM than Smart- phone A.
1st statement = FALSE
2nd condition = TRUE
FALSE and TRUE
= FALSE
Answer:
72/5
Step-by-step explanation:
Multiply both sides of equation by x.
8= 5/9 x
Multiply both sides by 9/5.
8 times 9/5 = x
72/5 = x
