Answer:
11). x = 25.8°
12). x = 67.3°
Step-by-step explanation:
11). By using sine rule in the given triangle,
cos(x) = 
cos(x) = 
x = 
x = 25.84
x ≈ 25.8°
12). By applying tangent rule in the given triangle,
tan(x) = 
tan(x) = 
x = 
x = 67.29°
x ≈ 67.3°
Answer:
y= 5x+13
Step-by-step explanation:
<u>Slope- intercept form</u>
y= mx +b, where m is the gradient and b is the y-intercept.
Parallel lines have the same gradient.
y= 5x +4
Gradient of given line= 5
Thus, gradient of line= 5
Subst. m=5 into the equation.
y= 5x +b
To find the value of b, substitute a coordinate
When x= -2, y=3,
3= 5(-2) +b
3= -10 +b
b= 3 +10 <em>(</em><em>+</em><em>1</em><em>0</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
b= 13
Thus, the equation of the line is y= 5x +13.
The answer would be (3,-1)
Answer:
20/3 or 6 2/3
Step-by-step explanation:
Please mark brainliest and have a great day!
I'm not sure what you mean by 3 or 6a^9, since there are only variables in the photo, but we can try breaking it down.
Let's start with the bottom,
a^2 * a^3 would be a^5 because for exponents you add the exponents of what's multiplied (product rule)
Then using the quotient rule, where you subtract the exponents, a^5/a^5 = a^(5-5)
And anything to the 0th power is 1, so your answer should be 1
Hope that helps!