Answer:
Explanation:
<u>1. Given equation:</u>

<u>2. Given intensity:</u>

<u>3. Decibels</u>

Answer:
m∠A = 90°
Step-by-step explanation:
In isosceles triangle base angles are congruent. That means we can equate measurments of angle B and angle C and solve for x!
m∠B = m∠C
11x - 10 = 7x + 10
4x - 10 = 10
4x = 20
x = 5
Now let's insert x back in the expressions for angles.
m∠B = (11x − 10)° = (11(5) − 10)° = 45°
m∠C = (7x + 10)° = (7(5) + 10)° = 45°
<u>Sum of all angles in the triangle is 180°.</u> Let's make an equation.
m∠A + m∠B + m∠C = 180°
m∠A + 45°+ 45° = 180°
m∠A = 90°
(5x+1)² = 7; expand: 25x² + 10x +1 = 7 or 25x² + 10x -6 = 0
Solve this quadratic for x:
x = [-b + √(b² - 4ac)]/2a and x = [-b - √(b² - 4ac)]/2a
Plug the values and you'll find :
x = (- √7 - 1)/5 (answer C)
x = (+√7 -1)/5 (answer E)
Answer:
56
Step-by-step explanation:
After inserting the given values, u + xy becomes (2) + (9)(6), or 2 + 54, or 56.
Answer:
-4/3 (Answer A)
Step-by-step explanation:
Here we go from the point (-3, 3) on the left to the point (0, -1) on the right. It is immediately apparent that x (the run) increases by 3 from -3 to 0 and that y (the rise) decreases by 4 from 3 to -1. Thus, the slope of this line (which is also the rate of change) is
m = rise / run = -4/3 (Answer A)