We can rewrite the equation given above as,
y = 3 - 4x
This item asks us to determine the value of the y-intercept. The value is calculated by letting x of the equation be equal to zero. Applying this methodology to the given above,
y = 3 - 4(0)
y = 3
Hence, the y-intercept of the given function is 3.
Answer: ![\sqrt[6]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B2%7D)
Step-by-step explanation:
You know that the expression is ![\frac{\sqrt{2}}{\sqrt[3]{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B%5Csqrt%5B3%5D%7B2%7D%7D)
By definition we know that:
![\sqrt[n]{a}=a^{\frac{1}{n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D)
You also need to remember the Quotient of powers property:
Therefore, you can rewrite the expression:
Finally, you have to simplify the expression. Therefore, you get:
![=2^{(\frac{1}{2}-\frac{1}{3})}\\=2^{\frac{1}{6}}\\=\sqrt[6]{2}](https://tex.z-dn.net/?f=%3D2%5E%7B%28%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B1%7D%7B3%7D%29%7D%5C%5C%3D2%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%5C%5C%3D%5Csqrt%5B6%5D%7B2%7D)
Answer:
Step-by-step explanation:
Look at the top triangle.
It is an isosceles triangle because two of the sides are marked equal.
The angles opposite the congruent sides are called base angles. (in the case x and z)
Base angles of an isosceles triangle are equal.
In addition, we use the Triangle angle sum theorem - the sum of the angles in a triangle is 180 degrees
60 + x + y = 180
x+z =120
but x = z so by substitution
x +x = 120
2x = 120
x = 60
z = 60
likewise for the bottom triangle:
50 +50 + Y = 180
Y = 80
Answer:
Step-by-step explanation:
