Answer:
yes
Step-by-step explanation:
25x² - 40xy + 16y² can be factored as
(5x - 4y)² ← a perfect square
I believe the answer is a
Answer:
85%
Step-by-step explanation:
To find the percentage we will have to start by dividing the amount he brings home by the gross.
156.4 / 184 = 0.85
By doing this, we get the answer in decimal form, which is not what we want.
Multiply it by 100 to convert it into a percent.
0.85 x 100 = 85.
Now, we know that he brings home 85% of his gross.
Answer:
Therefore the value of x = 10 units
Step-by-step explanation:
Let label the Triangles first,
Δ ABC a right triangle at ∠ A =90°
Δ ADB andΔ ADC a right triangle at ∠ D =90°
Such that
AD = x
BD = 50
CD = 2
∴ BC = BD + DC = 50 + 2 = 52
To Find:
x = ?
Solution:
In right triangle By Pythagoras Theorem,
![(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}](https://tex.z-dn.net/?f=%28%5Ctextrm%7BHypotenuse%7D%29%5E%7B2%7D%20%3D%20%28%5Ctextrm%7BShorter%20leg%7D%29%5E%7B2%7D%2B%28%5Ctextrm%7BLonger%20leg%7D%29%5E%7B2%7D)
In right triangle Δ ADB andΔ ADC By Pythagoras Theorem we will have,
AB² = BD² + AD²
AB² = 50² + x² ..................equation ( 1 )
and
AC² = DC² + AD²
AC² = 2² + x² ...................equation ( 2 )
Now in right triangle Δ ABC,
BC² = AB² + AC²
Equating equation (1 ) and ( 2 ) and the given value we get
52² = 50² + x² + 2² + x²
∴ 2x² = 2704 - 2504
∴ 2x² =200
∴ ![x^{2} =\frac{200}{2}\\\\\therefore x=\pm\sqrt{100} \\\\ \textrm{x cannot be negative}\\\therefore x= 10\ unit](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%5Cfrac%7B200%7D%7B2%7D%5C%5C%5C%5C%5Ctherefore%20x%3D%5Cpm%5Csqrt%7B100%7D%20%5C%5C%5C%5C%20%5Ctextrm%7Bx%20cannot%20be%20negative%7D%5C%5C%5Ctherefore%20x%3D%2010%5C%20unit)
Therefore the value of x = 10 units