Which is an equation of the line parallel to - 2x + y = 6 that contains thepoint (0, 2)?
A: -x – 2y = -4
B: -x – 2y = -2
C: -2x+y= -4
D: - 2x + y = 2
Answers
Answer: D. - 2x + y = 2
Step-by-step explanation:
The equation given is -2x + y = 6
Let us re- write it in slope - intercept form , that is we will make y the subject of the formula.
y = 2x + 6
Two lines are said to be parallel if they have the same slope , the slope of the first equation of line given is 2 , this means the slope of the equation of the line parallel to it is also 2.
Using the formula =
to calculate the equation , we have
y - 2 = 2 ( x - 0 )
y - 2 = 2x
Therefore :
-2x + y = 2 is the equation
If you find the slope by using the opposite reciprocal than you may plug in the y and x values in order to find the value of b
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Answers
3 to the power of one = 3
3 to the power of two = 9
3 to the power of three = 27
3 to the power of four = 81
3 to the power of five = 243
3 to the power of six = 729
values 3 9 27 81 243 729
Answers
94=y/4-18, svaret blir:94=y/-14, vilket ger:94*(-14)=yy=-1316
94= y/-14 multiply both sides by -14 to get rid of the fraction
94*14=y/-14*14
-1316=y
Answers
Hi Shawn
-24>-3p+3
First thing we need to do is to change them side (Flip)
-3p+3<-24
Now we need to subtract 3 from both sides
-3p=3-3<-24-3
-3p<-27
Divide both sides by -3 so we can find the value for p
-3p/-3<-27/-3
p>9
I hope that's help ! Please if you have question ask ↓↓↓↓
Answers
length=x
width=y
xy=32 ⇒y=32/x
perimeter of a rectangle=2x+2y
P(x,y)=2x+2y
P(x)=2x+2(32/x)
P(x)=2x+64/x
P(x)=(2x²+64)/x
1) we calculate the first derivative
y=u/v ; y´=(u`v-v´u) / v²
P`(x)=(4x*x-1(2x²+64)] / x²
P´(x)=(4x²-2x²-64) / x²
P´(x)=(2x²-64) / x²
2)we equalize the first derivative to "0" and we find out the value of x:
(2x²-64) / x²=0
2x²-64=0*x²
2x²-64=0
2x²=64
x²=64/2
x²=32
x=⁺₋√32
We obtein two possible values:
x₁=-√32; this value is not valid.
x₂=√32 ;
3)we calculate the second derivative:
P``(x)=[4x * (x²)-2x(2x²-64)] / x⁴
P´´(x)=(4x³-4x³+128x) / x⁴
P´´(x)=128/x³
4) we find out if x=√32 is a maximum or a minimum
P´´(√32)=128/(∛32)=40.317...>0;
Therefore, like P´´(√32)>0 at x=√32 we have a minimum
5) we find out the value of y.
y=32/x
y=32 / √32=(32*√32)/32=√32
Therefore: x=√32, y=√32, the rectangle is a square.
Perimeter=2x+2y
Perimeter=2√32+2√32=4√32
Answer: the least perimeter of a rectangle with an area of 32 ft² is 4√32 ft.
example
if you built a rectangle with area 20
if you built it wwith sides 20 and 1, then the perimiter would be 42
if you build it with sides 5 and 4, the perimiter is 18
so trry to get perimiters as clos as possible
get them equal
aera of rectangle=legnth times width
set legnth=width so we can get least perimiter
area of rectangle=legnth times legnth
area=legnth^2
32=legnth^2
sqrt both sides
√32=legnth
4√2=legnth
so since legnth=width, this rectangle is now a square (this is allowed becasue defenition of rectangle is 4 right angles, and all squares are rectangles, but that doesn't means all rectangles ar squares)
perimiter of square=4legnth
perimiter of this square=4*4√2=16√2
answer is 16√2 feet
Answers
Answers
Answer:
P = 1.44 Watts
Step-by-step explanation:
We know that the relation between voltage and current in a simple circuit with a resistor is
V = I.R
Where
V = the voltage of the source
I = current of the circuit
R = resistance
The power is defined as
P = V.I
Which is the same as
P = V.(V/R)
P = (24 v)^2 / (400 ohm)
P = 1.44 Watts