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CaHeK987 [17]
3 years ago
8

The perimeter of an isosceles triangle is 12a + 8b

Mathematics
1 answer:
n200080 [17]3 years ago
5 0
(12a + 8b) - (2a - 4b)
12a + 8b - 2a + 4b
10a + 12b

(10a + 12b)/2
5a + 6b
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What is the measure of z?
Ymorist [56]

Solving a system of linear equations, we conclude that the measure of side Z is 2√13

<h3>How to find the measure of side Z?</h3>

Remember the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.

In the image, we can identify 3 right triangles, and with the Pythagorean theorem, we can write a system of 3 equations.

x^2 = y^2 + 4^2

z^2 = y^2 + 9^2

(4 + 9)^2 = z^2 + x^2

We want to solve that for z.

Now, the second equation can be rewritten to:

y^2 = z^2 - 9^2

Now let's replace the first equation into the third one, so we get:

(4 + 9)^2 = z^2 + (y^2 + 4^2)

Now we can replace y^2 by z^2 - 9^2

(4 + 9)^2 = z^2 + ((z^2 - 9^2) + 4^2)

Now we can solve this:

(13)^2 = z^2 + z^2 - 9^2 + 4^2

(13)^2 + 9^2 - 4^2 = 2*z^2

104/2 = z^2

52 = z^2

√52 = z

√(4*13) = z

√4*√13 = z

2√13 = z

We conclude that the measure of side Z is 2√13

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

8 0
2 years ago
Solve (4x^4-7-6x^2) (2x^2 4x^4 8)
kotykmax [81]
Your answer can only be simplified to
256x^10 - 384^8 - 448^6 
5 0
3 years ago
How to solve this equation?
lilavasa [31]
I solved it on your other posting of it. x = 12
All of the steps are there
7 0
3 years ago
Read 2 more answers
how for is Blaine's house if you must drive 6.5 hours through the woods at an average of 45mph to get there?
omeli [17]
Six and a half hours at a speed of 45 mph. 45 mph is forty five miles per hour. since there are six full hours, multiply six (time) by speed (45) to get the distance within the six full hours, which is 270 miles. you also have an additional half hour at a 45 mph speed, so rather than going 45 miles in one hour, you for half an hour, meaning you go 22.5 miles. add these two together (270 + 22.5) to get 292.5 miles. a faster way to get to this would be to multiply 6.5 * 45. hole this helps!
3 0
3 years ago
HELP PLEASE! I don't understand and have been stuck on this problem for a whole hour. Please explain. Also, none of the answers
Lyrx [107]
The altitude is the mean proportional between the left and right parts of the hyptenuse

\cfrac{FI}{GI} =  \cfrac{GI}{HI} \ \ \Rightarrow \ \  \cfrac{FI}{15} =  \cfrac{15}{16} \ \ \Rightarrow \ \ FI= \cfrac{15 \cdot 15 }{16} \approx  14.1

Answer: 14.1
5 0
3 years ago
Read 2 more answers
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