Lim as x->ln2 of ((e^3x)-8)/((e^2x)-4)

How do you solve this equation with substitution, I was absent for school today and wasn’t able to learn the subject please help

Alenkasestr [34]

Answer:

X=1 Y=6

Step-by-step explanation:

6x=-4x+10

10x=10

x=1

6×1=6

3 0

3 years ago

Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

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Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

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Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

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Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, the triangles are similar due to the SSS Similarity theorem

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Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

3 0

2 years ago

hey guys if u can look exercises page with this ill be thankful i just wanna have an a in my test they are like these -8y+12y=3-

blagie [28]

Answer:

okay I'll check then let you know

3 0

3 years ago

How many solutions does the system have? y=3x-1 y=-2x+4

guapka [62]

Answer:

This system has one answer.

Step-by-step explanation:

This system only has one answer which are: x=1 y=2

Hope this helped! :)

8 0

3 years ago

Read 2 more answers

I need help with this points if right

fomenos

Answer:

A

Step-by-step explanation:

90-49=41

41-3=38

49+(38+3)=90

6 0

3 years ago