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romanna [79]
3 years ago
14

What could be the intersection of the plane PRS and plane QRS

Mathematics
1 answer:
MrRa [10]3 years ago
6 0
The plane PRS passes through the points P, R and S. So it contains the line RS. Also the plane QRS passes through the points Q, R and S. So it contains the line RS as well. Since both the planes contain the line RS, the line RS must be the intersection of plane PRS and QRS
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Find the inverse of f(ℎ) =ℎ^2 − 2ℎ + 4 <br><br>ℎ ≥ 1
Nat2105 [25]

Answer:

f^{-1}(h) =  \sqrt{h - 1} + 1.

Step-by-step explanation:

Given, f(h) = h^{2} - 2h + 4.

                   h ≥ 1 .

f(h) = (h-1)^{2} + 3.

Now, to calculate the inverse of the function we have to interchange h and f(h). {Where interchanged f(h) will represent inverse of the function}

So,

 h = (f(h)-1)^{2} + 3

 h - 3  = (f(h)-1)^{2}

 f(h) -1 = \sqrt{h - 1}

  f(h) =   \sqrt{h - 1} + 1.

f(h) ⇒  Representing inverse of f(h) as stated above.

Thus, f^{-1}(h) =  \sqrt{h - 1} + 1.

3 0
3 years ago
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5/7 = x/9 help quickly will give brainliest if correct
AysviL [449]

<em>Greetings from Brasil...</em>

Here we will use media products

A/B = C/D ⇔ A · D = B · C

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7X = 45

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A magazine has 5,580,000 subscribers this year. This number is down 7% from last year. How many subscribers were there last year
cestrela7 [59]
I got the answer C. This was by multiplying .07 (the decrease) by 5,580,000. Which I then got the number 390,600, which I added to 5,580,000.
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Please help this will make me pass the class ! I’ll give you all coins promise I need all of the awnsers
maria [59]
Going from top to bottom 
A) All sides add up to 180 so just subtract the other angles from 180 to get the last ----- 180-(53+78)= 49.  x=49

B) The little square means 90 and since the lines are equal the other two angles are equal. so ------2x+90=180  bring 90 over 2x=90 then divide by the 2 and get x=35 

C) For this one since they all have a x you can say all of them added together is 180 so -----  3x-11+6x-10+x=180   you can add like terms and have 10x-21=180    add 21 over   10x=201 then divide 201 by 10 and get x=20.1

D) This will take two different equations first do as you did in A for the right triangle ---- 180-(75+67) and get 38 now the angle on the other triangle that it is across from is the same. 38 now do it once again 180-(28+38) and get x=114

Exterior angles add up to the inside angle across from it to make 180. 

A) Find out what the inside angle is first ---  180-(73+62)=45  now x+45= 180 so just subtract 45 over and get    x=135

B) Same as above but the square is 90. 180-(31+90)=59 now x+59=180 subtract 59 over and have   x=121

C)Because the two lines are equal (Indicated by the ticks) the angles at the end are as well. so now you have 98+2x= 180    subtract 98 over get 2x=82 then divide by the 2 and get   x=41

D) This one requires some thinking. We know that all three angles inside equal 180 and the one outside and the one inside equal 180 but we don't know what the angle inside by the outside angle is. (sorry if that's confusing) but since the outside one minus 180 is the inside one then we can put that in x+28+4x-3+7x-15-180 = 180  (I put everything in but for the missing angle I put the outside one minus 180) you can first combine terms and have       12x-170=180  add 170 over and have 12x=350  then divide by 12 and get     about 29.1 but that's just the missing angle! Next you can put that with the outside one and get 7x-15+29.1=180 combine 7x+14.1=180  subtract 14       7x=166.1 then divide and get            x=23.7

I hoped this helped - all the answers are at the bottom of the explanation and the only one i'm not sure of is the last D
3 0
3 years ago
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