Find the distance between (-1, 4) and (3, 1).

Answers

Answer 1
Answer: The Distance is 5, I believe 


Answer 2
Answer: 4, -3 is the answer to Distance 


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The value of y varies directly with x, and y=5 , when x=10. Find y when x=24

Answers

Answer:

y=12

Step-by-step explanation:

5 is half of 10 so there for y is always half of x in this problem

What is 8/16 in simplest form

Answers

1/2 is the simpliest form,divide everything by 2
Not really because 8 times something equals 16 so, 8x2=16
So your answer is two. 

Line ET is tangent to circle A at T, and the measure of Arc TG is 70°.What is the measure of ∠GET?

A. 55°
B. 20°
C. 35°
D. 110°

Answers

Line ET is tangent to circle A at T

∴ ET ⊥ TN 
∴ ∠ ETN = 90
the measure of Arc TG = 70

∠ TNG = half the measure of Arc TG = 0.5 *70 = 35

Δ ETN ⇒ The sum of all angles = 180

∴∠ GET = ∠ NET = 180 - (90 + 35 ) = 55


∴ The correct answer is option A. 55°



I will calculate this problem in two ways

alternative method 1
we know that
The inscribed angle measures half of the arc it comprises.
∠TNE=(1/2)*arc TG------> (1/2)*70°----> 35°

the triangle TEN is a right triangle
∠TNE+∠GET=90°-----> by complementary angles
∠GET=90-35---> 55°

the answer is
∠GET=55°

alternative method 2
we know that
The measure of the external angle is the semi difference of the arcs that it covers.
∠GET=(1/2)*[arc TN-arc TG]---> (1/2)*[180-70]---> (1/2)*110---> 55°

the answer is
∠GET=55°


Find the common difference of the arithmetic sequence shown.1/4, 3/8, 1/2

1. 1/16
2. 1/8
3. 1/4

Answers

Answer: 2. 1/8

1/4+1/8=3/8
3/8+1/8=4/8=1/2

Daily reminder that you are beautiful INSIDE & OUT! You got this! Comment one thing you’re most proud of!

Answers

I’m proud of Everything

Answer:

i am proud of how large the meat between my legs is

Step-by-step explanation:

What is the slope of a line perpendicular to MN for M(-3, 4) and N(5, -8)?

Answers

Answer:

slope of the line perpendicular to MN = 2/3

Step-by-step explanation:

slope = y2 - y1 / x2 - x1

the given co-ordinates are:

x1, y1 = -3, 4

x2, y2 = 5, -8

slope = -8 - 4 / 5 + 3

          = -12/8

          = -3/2

slope of the line perpendicular to MN = -1 / slope

                                                               = -1 / -3/2

                                                               = -1 * -2/3 = 2/3

Answer:

m = 2/3

Step-by-step explanation:

Slope = (y-y)/(x-x)

(-8-4)/5- -3) = -12/8

-12/8 = -3/2

Slope od the perpendicular line= 2/3