Which of the following correctly shows the length of each radius, the point where the circles intersect, and the equation of the tangent line at this point? HELP PLEASE!!

Answers

Answer 1

Answer:

The answer is the third one.

The first two are easy, you can see that the radius of S is 4 and the radius of T is 5-4=1.

The point of intersection is where the two circles touch each other, and is is (4, 1), because you have to put the x value first.

The equation of the tangent line is just y=4, because it is a straight vertical line.

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Roger has 4 liters of orange juice. He puts the same amount of juice into each of 5 pitchers. How many liters of orange juice are in 1 pitcher?

Answers

1.25 cuz 5/4 is 1.25 times 4 is 5. I’m Albert Einstein

A plumber needs to drill a hole that is just slightly larger than 3/16 of an inch in diameter. Which measurement is the smallest but still larger than 3/16?5/16 inch. 13/64 inch. 9/32 inch.

Answers

All we need to do is to find a common denominator for each of the fractions. It's quite easy in this case because each denominator is an iteration of 16, so so LCD is 64:

5/16 = 20/64
13/64 stays the same
9/32 = 18/64
And the hole's size: 3/16 = 12/64

12/64 < 13/64 < 18/64 < 20/64

So the smallest measurment but still larger than 3/16 (12/64) is 13/64 inch.

Use the Quadratic Formula to solve

x²-13x+42=0

Answers

Answer:

x1=7,

x2=6

Step-by-step explanation:

x²-13x+42=0

a=1, b=-13, c=42

x1,2=(-b+-sqrt(b^2-4ac)) /2a

x1,2=(-(-13)+-sqrt((-13)^2-4*1*42))/2*1

x1,2=(13+-sqrt (169-168))/2

x1,2=(13+-sqrt(1))/2

x1,2=(13+-1)/2

x1=(13+1)/2, x2=(13-1)/2

x1=14/2, x2=12/2

x1=7, x2 =6

What is the sum of √-2 and √-18a. 4 √2
b. 4 √2i
c. 5 √2
d. 5 √2i

Answers

First, it is necessary to take out the i from the root. This is done by factoring out -1 as follows, using the relation √(-1) : = i

√-2 = √(-1)(2) = i√2
√-18 = √(-1)(2)(9) = 3i√2

Simplifying by adding the two terms together:
i√2 + 3i√2 = 4i√2

Therefore the answer is B.

Answer:

B. 4 √2i

Step-by-step explanation:

did the test

What is 1000 times 80%

Answers

800

(80% = .8, 1000 x .8 = 800)

80%×1000
:80/100×1000
80000/100
800

Match the term to its definition. 1. A set of points forming a flat surface that extends without end in all directions
2. A location in a plane or in space, having no dimensions
3. A set of points that extends without end in opposite directions
a. Point b. Line c. Plane

Answers

B. Line - 3. A set of points that extends without end in oppositte directions.

A. Point - 2. A location in a plane or in space, having no dimension.

C. Plane - 1. A set of points forming a flat surface that extends without end in all directions.

1. c. plane

2. a. point

3. b. line

Hope this helps!!!

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