Step-by-step explanation:
258
because there are 360 degrees in a circle. 360 - 102 = 258
Answer:
2352
Step-by-step explanation:
You just multiply them
Answer:
a) The limit doesnt exist.
b) The limit exists and its value is 1/10
Step-by-step explanation:
a) We take the highest power (x⁴) as common factor in both the numerator and the denominator.
![\lim_{x \to \infty} \frac{x^4-x^3-3x}{7x^2+9} = \lim_{x \to \infty} \frac{x^4(1-1/x-3/x^3)}{x^4(7/x^2+9/x^4)} = \lim_{x \to \infty} \frac{1-1/x-3/x^3}{7/x^2+9/x^4}](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7Bx%5E4-x%5E3-3x%7D%7B7x%5E2%2B9%7D%20%3D%20%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7Bx%5E4%281-1%2Fx-3%2Fx%5E3%29%7D%7Bx%5E4%287%2Fx%5E2%2B9%2Fx%5E4%29%7D%20%3D%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B1-1%2Fx-3%2Fx%5E3%7D%7B7%2Fx%5E2%2B9%2Fx%5E4%7D)
The limit of the numerator is 1 (when x goes to infinity) and the limit on the second part is 0. Hence the limit doesnt exist (it goes to infinity).
b) Note that if we multiply √x - 5 by its conjugate of , which is √x + 5, we obtain x - 25, thus
![\lim_{x \to 25} \frac{\sqrt x - 5}{x - 25} = \lim_{x \to 25} \frac{(\sqrt{x} - 5)}{(\sqrt{x} - 5) * (\sqrt{x}+5)} = \lim_{x \to 25} \frac{1}{\sqrt x + 5} = \frac{1}{5+5} = \frac{1}{10}](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%2025%7D%20%5Cfrac%7B%5Csqrt%20x%20-%205%7D%7Bx%20-%2025%7D%20%3D%20%5Clim_%7Bx%20%5Cto%2025%7D%20%5Cfrac%7B%28%5Csqrt%7Bx%7D%20-%205%29%7D%7B%28%5Csqrt%7Bx%7D%20-%205%29%20%2A%20%28%5Csqrt%7Bx%7D%2B5%29%7D%20%3D%20%5Clim_%7Bx%20%5Cto%2025%7D%20%5Cfrac%7B1%7D%7B%5Csqrt%20x%20%2B%205%7D%20%3D%20%5Cfrac%7B1%7D%7B5%2B5%7D%20%3D%20%5Cfrac%7B1%7D%7B10%7D)
Hence, the limit exists and its value is 1/10.
Answer:
x=-2 and y=2
Step-by-step explanation:
Do simultaneous equations
-8x + 4y = 24 <em>(multiply everything in the equation by -7)</em>
-7x + 7y = 28 <em>(multiply everything in the equation by 8)</em>
56x - 28y = -168
-56x + 56y = 224
<em>(add equations, ie add 'x' parts, 'y' parts, and numerical parts)</em>
<em> </em>28y = 56
∴y = 2
-8x + 4y = 24
-8x + 4(2) = 24
-8x = 16
∴x=-2
Lemme know if you have questions :D
Determine whether each equation is a linear equation. ... –2x – 3 = y .... linear. 16. 4y. 2. + 9 = –4. SOLUTION: Since y is squared, the equationcannot be written in standard form.