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castortr0y [4]
3 years ago
8

Triangle ABC is translated using the rule (x, y) → (x + 1, y − 4) to create triangle A′B′C′. If a line segment is drawn from poi

nt A to point A′ and from point B to point B′, which statement would best describe the line segments drawn?
They share the same midpoints.
They create diameters of concentric circles.
They are parallel and congruent.
They are perpendicular to each other.
Mathematics
1 answer:
nalin [4]3 years ago
4 0

Answer:

The line segments AA' and BB' are parallel and congruent

Step-by-step explanation:

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XZ = 13 and YZ = 4 Find XY
saw5 [17]
Z = 13/x

sub Z inside YZ = 4

Y(13/x) = 4
13Y * YX = 4
YX = 4/13Y
7 0
3 years ago
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of converge
tresset_1 [31]

Answer:

Radius of the convergence is R = \frac{1}{21}

and,

The Interval of convergence is -\frac{1}{21}

Step-by-step explanation:

Given function : Σ(21x)^k

Now,

Using the ratio test, we have

R = \lim_{n \to \infty} |\frac{21x^{k+1}}{21x^{k}}|

or

R = \lim_{n \to \infty} |\frac{21x^{k}\times21x^{1}}{21x^{k}}|

or

R = \lim_{n \to \infty} |21x^{1}|

now,

for convergence R|x| < 1

Therefore,

\lim_{n \to \infty} |21x^{1}| < 1

or

-\frac{1}{21}

and,

Radius of the convergence is R = \frac{1}{21}

and,

The Interval of convergence is -\frac{1}{21}

8 0
3 years ago
Find the midpoint of the segment with the following endpoints.<br> (6,4) and (9,1)
olasank [31]

Answer:

=\left(\frac{15}{2},\:\frac{5}{2}\right)

Step-by-step explanation:

\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(6,\:4\right),\:\left(x_2,\:y_2\right)=\left(9,\:1\right)\\\\=\left(\frac{9+6}{2},\:\frac{1+4}{2}\right)\\\\=(\frac{15}{2} , \frac{5}{2} )\\\\

7 0
3 years ago
it rained 4/5 on monday. on Tuesday it rained 7/10 inches less than on monday. How much did it rain on tuesday​
Crazy boy [7]

Answer:

6/25

Step-by-step explanation:

I turned all of it to decimals and percentages.

7/10 = 70%

4/5 = 0.8

70% of 0.8 is 0.56.

0.56 = 14/25

So 4/5 - 14/25 = 6/25

Im not 100% sure this is correct but thats how I would do it it.

7 0
3 years ago
A person weighs 100 pounds on earth, weighs 16.6 pounds on the moon. Which variable is the independent variable? EXPLAIN WHY.
nadya68 [22]
The independent variable is your weight on earth because it is what you can control, and it's the norm for us.
7 0
3 years ago
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