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2 years ago

Can someone please help me?!

Mathematics

1 answer:

morpeh [17]2 years ago

5 0

Answer: Slope of line = $\frac{1.2}{2}$

Graph- see picture.

Step-by-step explanation:

Graphs are graphed using y=mx+b

Slope (m) is written as $\frac{rise}{run}$ , and y coordinate is up and down, x is left & right.

The y coordinate adds 1.2 every time, so the rise is 1.2.

The x coordinate adds 2 every time, so the run is 2.

The y intercept (b) simply means where the line intercepts the y axis.

It is given that the y intercept is 0.

So, the graphing equation: y= $\frac{1.2}{2}$ x

We don't need to put the y intercept because it is 0!

The graph is attached!

I am not a professional, simply using prior knowledge!

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NEED HELP HERE PLEASE

loris [4]

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3. Answer A. Modulus of z is \sqrt(6^2+(-6)^2)=6*\sqrt(2). The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion. Theta=arctan(-6/6), and arctan(-1)=-pi/4, so theta=-pi/4=-pi/4+2pi=7pi/4. So A is the correct answer.

4. The answer is A. As above, cos270=0, sin270=-1. 3(cos270+sin270*i)=3*(0-i)=-3i. This problem is similar to question 2.

5. z1 = 7(cos 40° + i sin 40°), and z2 = 6(cos 145° + i sin 145°). z1*z2=7*6*(cos 40° + i sin 40°)*(cos 145° + i sin 145°)=42*(cos40*cos145-sin40*sin145+i*sin40*cos145+i*sin145*cos40). Use formula for sum/difference formula of cosines, cos40*cos145-sin40*sin145=cos(40+145)=cos185. Again, sin40*cos145+sin145*cos40=sin(40+145)=sin185. The answer is 42(cos 185° + i sin 185°).

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3 years ago

Can someone please show step by step to this problem? Find the area of the following figure.

Readme [11.4K]

Answer:

20 x 12=240

Step-by-step explanation:

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2 years ago

Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).

PtichkaEL [24]

Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.

m=(y2-y1)/(x2-x1) in this case:

m=(-5-1)/(2-4)

m=-6/-2

m=3

Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:

m1*m2=-1 in this case:

3m=-1

m=-1/3

So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting. The midpoint is simply the average of the coordinates of the endpoints, mathematically:

mp=((x1+x2)/2, (y1+y2)/2), in this case:

mp=((4+2)/2, (1-5)/2)

mp=(6/2, -4/2)

mp=(3,-2)

So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:

y=mx+b, where m=slope and b=y-intercept, and given what we know:

-2=(-1/3)3+b

-2=-3/3+b

-2=-1+b

-1=b

So now we have the complete equation of the perpendicular bisector...

y=-x/3-1 or more neatly in my opinion :P

y=(-x-3)/3

4 0

2 years ago

Read 2 more answers

10-11d>-5d-4 show step by step

aliya0001 [1]

The first step for solving this is to move the variable to the left side and then change its sign.
10 - 11d + 5d > - 4
Now move the constant to the right side and change its sign.
-11d + 5d > -4 - 10
Collect the terms with a d variable.
-6d > -4 - 10
Calculate the difference on the right side.
-6d > -14
Lastly,, divide both sides of the inequality by -6 and flip the inequality sign to find your final answer.
d < $\frac{7}{3}$
Let me know if you have any further questions.
:)

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3 years ago

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than c

disa [49]

Answer:

There is sufficient evidence. A further explanation is provided below.

Step-by-step explanation:

According to the question,

The alternative as well as null hypothesis will be:

$H_0:\mu = 16$