Heyo kiddo! How are you today?
Let's work this out!
So as jmtorres3423 said in the comments section, there are different ways to simplify that are equivalent either way. I'll just simplify in a different way from his example given.
![\frac{4 \sqrt{400} }{4 \sqrt{5} } = ( \frac{400}{5}) ^ \frac{1}{4} = (80)^ \frac{1}{4} = \sqrt[4]{80} = \sqrt[4]{16(5)} = \sqrt[4]{16} \sqrt[4]{5} = 2 \sqrt[4]{5} _________ Or.... ](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%20%5Csqrt%7B400%7D%20%7D%7B4%20%5Csqrt%7B5%7D%20%7D%20%3D%20%28%20%5Cfrac%7B400%7D%7B5%7D%29%20%5E%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%2880%29%5E%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%20%5Csqrt%5B4%5D%7B80%7D%20%3D%20%20%5Csqrt%5B4%5D%7B16%285%29%7D%20%3D%20%20%5Csqrt%5B4%5D%7B16%7D%20%20%5Csqrt%5B4%5D%7B5%7D%20%3D%202%20%5Csqrt%5B4%5D%7B5%7D%20%0A%0A_________%0A%0AOr....%0A%0A%0A)
![\frac{ \sqrt[4]{400} }{ \sqrt[4]{5} } = \sqrt[4]{ \frac{400}{5} } = \sqrt[4]{80} = \sqrt[4]{16(5)} = \sqrt[4]{2^4(5)} = 2 \sqrt[4]{5} ](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B4%5D%7B400%7D%20%7D%7B%20%5Csqrt%5B4%5D%7B5%7D%20%7D%20%3D%20%20%20%20%20%5Csqrt%5B4%5D%7B%20%5Cfrac%7B400%7D%7B5%7D%20%7D%20%3D%20%20%5Csqrt%5B4%5D%7B80%7D%20%3D%20%20%5Csqrt%5B4%5D%7B16%285%29%7D%20%3D%20%20%5Csqrt%5B4%5D%7B2%5E4%285%29%7D%20%3D%202%20%5Csqrt%5B4%5D%7B5%7D%20%0A%0A)
They both have the same solution, I just did it a little differently. It's easy once you understand.
You're welcome.
answer:
x = 4
y = 19
step-by-step explanation:
- we know that this is a parallelogram, so opposite sides are equal
- this is one of the properties of a parallelogram
therefore,
segment AB = segment DC <em>and</em> segment AD = segment BC
- now plug in the expressions according to what we know (& solve)
AB = DC
5x - 13 = 9x - 29
-13 = 4x - 29
16 = 4x
x = 4
AD = BC
3y - 11 = 2y + 8
y - 11 = 8
y = 19
Answer:
1/4
Step-by-step explanation:
you see, 2/4=0.5, 5/4=1.25, 6/4=1.5, basically,all the numbers are divided by four, so your scale of dilation is 1/4.
Hey buddy I am here to help!
5. y = ax + b
-5 = a*4 + b
-5 = 4a + b
If we take a as -2
-5 = 4*-2 + b
-5 = -8 + b
b = -5 - (-8)
b = -5 + 8
b = 3
so... a = -2 and b = 3
6. (i) y = 5x - 2
(1,7)
y = 7 & x = 1
7 = 5*1 -2
7 = 5 - 2
7 = 3
so this point (1,7) is wrong
(ii) y = 5x -2
we can take any value for x...
e.g. x = 2
y = 5*2 - 2
y = 10 -2
y = 8
SO answer in this case would be (2,8)
Plz mark my answer brainliest
Answer:
JK = 6 units
3 equal parts
-7
Step-by-step explanation:
The total distance for JK = -3 - -9 = -3+9 = 6
The length of JK = 6 units
ratio 1:2 total is 3
Divide JK into 3 equal parts
When we divide into 3 equal parts, we split the line at -7 and -5
To have the ratio at 1 to 2 take the 1st point -7