Answer:
x = √(10)/2
Step-by-step explanation:
Here, we want to get the measure of the side marked x
what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each
Hence, the other last side will measure x too
Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
x^2 + x^2 = (√5)^2
2x^2 = 5
x^2 = 5/2
x = √(5/2)
x = √5/√2
Rationalizing the denominator;
x = (√2 * √5)/(√2 * √2)
x = √10/2
Answer:
y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.
I believe the equation to be
. If you meant
, please let me know.
Thanks kindly.
Step-by-step explanation:
If (-1,y) lies on the graph of
, then by substitution we have:
.
We just need to simplify to determine y:
Multiply the 2 and -1:
![y=2^{-2}](https://tex.z-dn.net/?f=y%3D2%5E%7B-2%7D)
Use reciprocal rule for exponents to get rid of the negative:
![y=\frac{1}{2^2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%5E2%7D)
just means
:
![y=\frac{1}{2(2)}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%282%29%7D)
.
Answer:
8 + ![\frac{5}{w}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bw%7D)
Step-by-step explanation:
From the phrase, the <em>answer</em> is smaller(less) by 8 when compared(equal (=)) to quotient of 5 and w ...
So:
Answer - 8 = quotient of 5 and w
Here, quotient is the whole number from a <em>division</em>. The division here is ![\frac{5}{w}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bw%7D)
Therefore,
Answer - 8 = ![\frac{5}{w}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bw%7D)
Answer = 8 + ![\frac{5}{w}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bw%7D)
Hence the phrase into algebraic expression is 8 + ![\frac{5}{w}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bw%7D)
It would be 224 , the base is 64 and every triangle is 80 but if you follow the rule for area to a triangle you get 40
So 64+40+40+40+40= 224
= 1/2 ( x + 5 ) ( x + 4 )