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Paha777 [63]
1 year ago
12

For both questions can someone please fill in the missing numbers in the tables thannks!

Mathematics
1 answer:
Serggg [28]1 year ago
8 0

Step-by-step explanation:

a.
if x=-1 then,
y=2*(-1)-1
y=-2-1
y=-3

if y=-1 then,
-1=2x-1
-2x=-1+1
-2x=0
x=0

if x=1 then,
y=2*1-1
y=2-1
y=1

if y=3 then,
3=2x-1
-2x=-1-3
-2x=-4
-2/-2x=-4/-2
x=2

b.
if x=0 then,
0+y=-2
y=-2

if x=1 then,
y+1=-2
y=-1-1
y=-3

if x=2 then,
y+2=-2
y=-2-2
y=-4

if x=3 then,
y+3=-2
y=-2-3
y=-5

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Let z= -5 sqrt 3/2 + 5/2i and w=1 + sqrt 3i
MrRissso [65]

a.

z=-\dfrac{5\sqrt3}2+\dfrac52i=5\left(-\dfrac{\sqrt3}2+\dfrac12i\right)=5e^{i5\pi/6}

w=1+\sqrt3\,i=2\left(\dfrac12+\dfrac{\sqrt3}2i\right)=2e^{i\pi/3}

b. Not exactly sure how DeMoivre's theorem is relevant, since it has to do with taking powers of complex numbers... At any rate, multiplying z and w is as simple as multiplying the moduli and adding the arguments:

zw=5\cdot2e^{i(5\pi/6+\pi/3)}=10e^{i7\pi/6}

c. Similar to (b), except now you divide the moduli and subtract the arguments:

\dfrac zw=\dfrac52e^{i(5\pi/6-\pi/3)}=\dfrac52e^{i\pi/2}

8 0
2 years ago
Write a word problem that you can represent with the expression 8 divided by 2/3
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I had 8 tampons this morning but 2/3 of the girls in my class got their period and now I’m out of tampons
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likoan [24]

Answer: 230cm²

Step-by-step explanation:

>We can do this by splitting the figure into 2 trapeziums.

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Area = \frac{1}{2} *(7+16)*20=230

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2 years ago
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Which of the following is a solution to the equation y = 3x - 1 ?
CaHeK987 [17]
To solve this question all you have to do is input the X and y coordinates and test each point in the question. To see which of those points. Have the left hand side equal to the right hand side after doing all of the operations.
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Need help with homework
motikmotik

We have two points describing the diameter of a circumference, these are:

\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}

Recall that the equation for the standard form of a circle is:

(x-h)^2+(y-k)^2=r^2

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})

Now, we replace and solve:

\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}

The center of the circle is (-8,-7), so:

\begin{gathered} h=-8 \\ k=-7 \end{gathered}

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

r^2=\Delta x^2+\Delta y^2

In this case, we will solve the delta with the center coordinate and the B coordinate.

\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}

Therefore, the equation for the standard form of a circle is:

\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}

In conclusion, the equation is the following:

(x+8)^2+(y+7)^2=25

4 0
9 months ago
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