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3 years ago

"Solve each equation. Remember to check for extraneous solutions."

Mathematics

1 answer:

tigry1 [53]3 years ago

4 0

Determine the defined range k=0
move expression to the left side and change its sign so it would be the problem = 0

write all numerators above the least common denominator 6k (*2*)-Squared
calculate the sum or the difference

check the solution in the defined range

hope this helped you

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Can someone help me with this i have no idea how to do this:/ will mark brainliest

Bumek [7]

Answer:

slope = 2.

Step-by-step explanation:

find the slope using this formula y2-y1/x2-x1

40-20/1-0 = 2/1 or just 2.

8 0

3 years ago

On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime

Tresset [83]

The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y ⇒ last answer

Step-by-step explanation:

Let us revise the reflection across the y-axis , horizontal translation

and vertical translation

1. If point (x , y) is reflected across the y-axis, then its image is (-x , y)

2. If point (x , y) is translated h units to the right, then its image is

(x + h , y), if translated h units to the left, then its image is (x - h , y)

3. If point (x , y) is translated k units up, then its image is (x , y + k),

if translated k units down, then its image is (x , y - k)

∵ The vertices of triangle BCD are (1 , 4) , (1 , 2) , (5 , 3)

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The x-coordinates of the vertices of Δ B'C'D' have the same

magnitude of x-coordinates of Δ BCD and opposite signs

∴ Δ B'C'D' is the image of Δ ABC after reflection across the y-axis

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The vertices of triangle B''C''D'' are (5 , -1) , (5 , -3) , (1 , -2)

∵ The image of -1 is 5 and the image of -5 is 1

∴ The x-coordinates of the vertices of triangle B'C'D' are added by 6

∵ The image of 4 is -1 , image of 2 is -3 and the image of 3 is -2

∴ The y-coordinates of the vertices of triangle B'C'D' are subtracted

by 5

∴ Δ B"C"D" is the image of Δ B'C'D' by translate 6 units to the right

and 5 units down ⇒ (x + 6 , y - 5)

The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y

Learn more:

You can learn more about reflection in brainly.com/question/11203617

#LearnwithBrainly

3 0

3 years ago

Read 2 more answers

How to find the area of the shaded areas and to round the nearest hundredth please and thank you it help me a lot if you could a

andrew-mc [135]

<h3>Please Read Through This, Answers are Listed.</h3>

As a heads up, this post is going to be <u>very long</u>.

So to do these questions, first know what you need to do.

<em>Goals to do:</em>

1 - Find the area of the circle

2 -Find how much of it is shaded

3 -Find the shaded's area.

So, the first goal is to find the area of the circle, well that's fairly simple. Just do pi r². (r stands for the radius)

<u><em>With the first question</em></u>, they list the length GH as 11 inches. So just plug it in!

pi 11² ---> pi * 121 ---> ≈380.13

Next, find the amount that is shaded. So with that, look at the angle inside the circle, it is 64°. By knowing that the whole circle is 360°, just do 64/360 to find the an "important number".

64/360 ---> 0.17777777...

By using this important number and multiplying it with your total circle area, you'll get your answer.

380.13 * 0.17777777... ---> ≈ 67.6in² (QUESTION 1 ANSWER)

And then just do the same with the rest...

<em><u>Question 2:</u></em>

pi 22² ---> pi * 484 ---> 1520.53

139/360 ---> 0.38611

1520.53 * 0.38611 ---> ≈ 587.09cm² (QUESTION 2 ANSWER)

<em><u>Question 3:</u></em>

pi 3² ---> pi * 9 ---> 28.27

84/360 ---> 0.2333...

28.27 * 0.2333 ---> ≈6.60mm² (QUESTION 3 ANSWER)

<u><em>Question 4:</em></u>

pi 14.2² ---> pi * 201.64 ---> 633.47

***Because the angle is in the blank space, subtract it from 360 first before continuing.

360 - 87 ---> 273/360 ---> 0.7583333

633.47 * 0.7583333 ---> ≈480.38m² (QUESTION 4 ANSWER)

<u><em>Question 5:</em></u>

pi 9² ---> pi * 81 ---> 254.47

***Because the angle is in the blank space, subtract it from 360 first before continuing.

360 - 42 ---> 318/360 ---> 0.88333

254.47 * 0.88333 ---> ≈224.78in² (QUESTION 5 ANSWER)

<u><em>Question 6:</em></u>

pi 28² ---> pi * 784 ---> 2463.01

115/360 ---> 0.319444

2463.01 * 0.319444 ---> ≈786.79m² (QUESTION 6 ANSWER)

<u><em>Question 7:</em></u>

pi 32.5² ---> pi * 1056.25 ---> 3318.31

29/360 ---> 0.080555

3318.31 * 0.080555 ---> ≈267.31ft² (QUESTION 7 ANSWER)

<u><em>Question 8</em></u>

pi 29.5² ---> pi *870.25 ---> 2733.97

***Because the angle is in the blank space, subtract it from 360 first before continuing. Along with that, the angle has a square in place of a number, meaning that it is a right angle, or 90°.

360-60 ---> 270/360 ---> 0.75

2733.97 * 0.75 ---> 2050.48mi² (QUESTION 8 ANSWER)

8 0

4 years ago

You roll a single die numbered from 1 to 6 twice. The probability of rolling an even number the first time and a 6 the second is

Arlecino [84]

Answer:

<h2>The answer is 50%</h2>

Step-by-step explanation:

step one :

first and foremost we are going to list the sample space related to a die

the same space is S= {1,2,3,4,5,6}= 6

step two:

now the even numbers in the sample space are ={2,4,6}= 3

hence we can solve for the probability of obtaining an even number to be

Pr(even number)= 3/6= 1/2.

step three:

since we are to provide the answer in percentage format, we can easily do this by multiplying the answer by 100 to get the percentage

(1/2)*100= 0.5*100= 50%

7 0

3 years ago

8. How many terms does -xy + y-z +10 have? a.3 b.4 c.5 d.6

Vikentia [17]

Answer:

I Believe the answer is A. 3 terms

Step-by-step explanation:

-xy is a term

y-z is another term

and 10 is the last..

I hope this helps..

Good luck :)

4 0

3 years ago

Read 2 more answers