Answer:
It's C
Step-by-step explanation:
Because the angle measurements are the same on rectangles and they have the same side lengths but the one on the right is a smaller rectangle which its only half the side of the bigger one.
Answer:
129 degrees
Step-by-step explanation:
add the interior angles: 62 + 67 = 129
subtract your answer from 180 to get the exterior angle of the interior angle that is opposite to the given angles
Answer:
Similar, AA similarity, ΔAKL
Step-by-step explanation:
BC and KL are parallel. Therefore, ∠B and ∠K are alternate interior angles, and ∠C and ∠L are also alternate interior angles. Alternate interior angle are congruent, so by AA similarity, ΔABC ~ ΔAKL.
Using derivatives, it is found that regarding the tangent line to the function, we have that:
- The equation of the line is y = 962x - 5119.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:
f(x) = 5x³ + 2x + 1.
The derivative is given by:
f'(x) = 15x² + 2.
Hence the slope at x = 8 is:
m = f'(8) = 15(8)² + 2 = 962.
The line goes through the point (8,f(8)), hence:
f(8) = 5(8)³ + 2(8) + 1 = 2577.
Hence:
y = 962x + b
2577 = 962(8) + b
b = -5119.
Hence the equation is:
y = 962x - 5119.
More can be learned about tangent lines at brainly.com/question/8174665
#SPJ1
Answer:
x = 3
Step-by-step explanation:
4(2-x)+13=2x+3
distribute the 4.
8 - 4x + 13 = 2x + 3
combine like terms.
21 - 4x = 2x + 3
18 = 6x
divide by 6.
x = 3
check.
4(2 - 3) + 13 = 2(3) + 3
4(-1) + 13 = 6 + 3
-4 + 13 = 9
9 = 9
correct!
