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3 years ago

The problem below, which line contains an Tor?

1 answer:

4 0

Line 5: 5:x=6
x=6X5
x=30
5:30=6
(X stands for multiply)

Line 3:
4x-10=22
4x=22+10
4x=32
(Divided both sides by 4)
x=8

Line 4
4x=32
(divided both sides by 4)
x=8

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2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de

Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let $(x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)$

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

⇒ $d=\sqrt{(2-5)^2+(4-3)^2}$

⇒ $d=\sqrt{9+1}$

⇒ $d=\sqrt{10}$ ....(1)

Now, we find the length of M'K'

let $(x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)$

$d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}$

⇒ $d^{'}=\sqrt{(-2+5)^2+(3-4)^2}$

⇒ $d^{'}=\sqrt{9+1}$

⇒ $d^{'}=\sqrt{10}$ .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct

3 0

4 years ago

Read 2 more answers

How many countries in world

mariarad [96]

Answer:

There are 195 countries in the world today. This total comprises 193 countries that are member states of the United Nations and 2 countries that are non-member observer states: the Holy See and the State of Palestine

Not included in this total count of 195 countries are:

•Taiwan - the United Nations considers it represented by the People's Republic of China

•The Cook Islands and Niue, both states in free association with New Zealand which are members of several UN specialized agencies and have been recognized "full treaty-making capacity", but are neither member states nor non-member observer states.

•Dependencies (or dependent territories, dependent areas, dependencies) and Areas of Special Sovereignty (autonomous territories)

•Other countries recognized by the United Nations as not being self-governing

8 0

3 years ago

Find the value of cos θ if the angle θ is in the third quadrant and sinθ= -0.8

Rudiy27

Correct option is D) -0.6.

<u>Step-by-step explanation:</u>

We have $sin\alpha = -0.8$ . Also, we know that $cos\alpha = \sqrt{1- (sin\alpha } )^{2}$ . Let's find out value of $cos\alpha$ using above formula:

$cos\alpha = \sqrt{1- (sin\alpha } )^{2}$

⇒ $cos\alpha = \sqrt{1- (sin\alpha } )^{2}$

⇒ $cos\alpha = \sqrt{1- (-0.8 } )^{2}$

⇒ $cos\alpha = \sqrt{1- (0.64 } )^{}$

⇒ $cos\alpha = \sqrt{0.36}$

⇒ $cos\alpha = 0.6$

But we know that cos $\alpha$ is negative in third quadrant , Therefore $cos\alpha = -0.6$ .

Hence, correct option is D) -0.6.

3 0

3 years ago

PLEASE HELP ME WITH THIS ASAP AND SHOW WORK PLEASE

Shkiper50 [21]

<h2>Step-by-step explanation:</h2>

A: f(x)=8x-2

1. Switch the f(x) to y

y=8x-2

2. Switch y to x and x to y

x=8y-2

3. Solve for y:

------------------------------

1. Add 2 to both sides.

x=8y-2

+2 +2

2. Divide both sides by 8.

x+2=8y

--- ---

8 8

1/8x+1/4=y

3. Write in f-inverse form

f^-1(x)=1/8x+1/4

B: g(x)=2/3x+6

1. Switch the g(x) to y

y=2/3x+6

2. Switch y to x and x to y

x=2/3y+6

3. Solve for y:

------------------------------

1. Subtract 6 from both sides.

x=2/3y+6

-6 -6

2. Multiply both sides by 3/2 (to cancel out the 2/3)

x-6=2/3y

2/3x-4=y

3. Write in f-inverse form

g^1(x)=2/3x-4

C: h(x)-4x-12

1. Switch the h(x) to y

y=-4x-12

2. Switch y to x and x to y

x=-4y-12

3. Solve for y:

------------------------------

1. Add 12 to both sides.

x=-4y-12

+12 +12

2. Divide both sides by -4

x+12=-4y

------ ---

-4 -4

-1/4x-3=y

3. Write in h-inverse form

h^2(x)=-1/4/x-3

4 0

2 years ago

If x:y =5:6 and y:z =4:9 find, (a) x:y

OLga [1]

Answer:

20:54

Step-by-step explanation:

x:y:z=20:24:54

3 0

3 years ago