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Y_Kistochka [10]
3 years ago
11

What is the midpoint between (−9 − i) and (4 + 5i) on the complex plane

Mathematics
1 answer:
gogolik [260]3 years ago
6 0

Answer:

-2.5 + 2i.

Step-by-step explanation:

That would be  (-9 + 4)/2   +    (-i + 5i)/2

= -5/2 + 4i/2

= -2.5 + 2i  (answer).

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YA is the angle bisector of ZXYZ. If mZXYZ = 52°, what is mZZYA?
antoniya [11.8K]

Given:

YA is the angle bisector of \angle XYZ.

m\angle XYZ=52^\circ

To find:

The measure of m\angle ZYA.

Solution:

It is given that YA is the angle bisector of \angle XYZ. It means

m\angle XYA=m\angle ZYA            ...(i)

Now,

m\angle XYA+m\angle ZYA=m\angle XYZ

m\angle ZYA+m\angle ZYA=52^\circ            [Using (i)]

2m\angle ZYA=52^\circ

Divide both sides by 2.

m\angle ZYA=\dfrac{52^\circ}{2}

m\angle ZYA=26^\circ

Therefore, the required value is m\angle ZYA=26^\circ.

5 0
3 years ago
Determine if the two triangles are congruent. If they are, state how you know.
Leto [7]

Answer:

By SSS Test

Step-by-step explanation:

Since the sides of both the triangle are equal

By SSS test, we can say that the both the triangles are congruent

6 0
3 years ago
Every integer greater than 2 is a sum of two prime numbers. Prove that if you can. (only proofs will be accepted)
Mazyrski [523]

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: You currently cannot prove this, but people are working on a proof to say it's true

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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4 0
3 years ago
A grasshopper jumps off a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the
Monica [59]

The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function , which is

h(t) =-t^2+\frac{4}{3}t+ \frac{1}{4}

When the grasshopper land on the ground,

h(t)=0

that is,

-t^2+\frac{4}{3}t+ \frac{1}{4}=0

Multiplying whole equation by 12 to get rid of denominators 3 and 4

-12t^2+16t +3=0

(3-2t)(6t+1)=0 \\ 3-2t=0 , 6t+1=0 \\ t= \frac{3}{2} , \frac{-1}{6}

And time cant be negative, so the correct option is

t = \frac{3}{2}=1.5 seconds

Correct option is C .

0 0
4 years ago
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the gi
sasho [114]
Equation of a line passing through point (x1, y1) with slope m is given by y - y1 = m(x - x1)
For parallel lines, the slope of the required line is equal to the slope of the given line.
x = -3 is a vertical line, therefore, the required line will also be a vertical line since they are parallel.
Since the required line passes through point (4, 2), the equation of the required line is x = 4.
7 0
3 years ago
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