The approximate value of q in the equation below is 0.584
<h3>Logarithmic functions</h3>Given the log expression as shown below;
q + log2(6) = 2q + 2
Collect the like terms
q - 2q = 2 - log(2)6
-q = 2 - log(2)6
-q = log(2)4 - log(2)6
-q = 2 -2.584
-q = -0.584
q = 0.584
Hence the approximate value of q in the equation below is 0.584
Learn more on logarithm here: brainly.com/question/237321
Answer:
C = 11.18 D= 20
Step-by-step explanation:
Let's start with C
Square root both areas of the squares
Then use the Pythagoras Theorem:
= C
Moving on to D
Square root both areas of the squares
29 is the hypotenuse, we are trying to find the other leg, so:
= D
Answer: Measure of angle E = 45°
Measure of angle D = 45°+5° = 50°
Measure of angle F = 85°
Step-by-step explanation:
Let the measure of angle E be x. ( in degrees)
Then Measure of angle D = x+5
Also, Angle D + Angle E = Angle F +10
Since DEF is a triangle, so the sum of their angles should equal to 180 degrees.
Measure of angle E = 45°
Measure of angle D = 45°+5° = 50°
Measure of angle F = (2(45)-5)° = (90-5)° = 85°
Answer:
see explanation
Step-by-step explanation:
Factorise both denominators
x² + 2x = x(x + 2) ← common factor of x
x² - 4 = (x - 2)(x + 2) ← difference of squares
Before subtracting we require common denominators
Multiply the numerator/denominator of the first fraction by (x - 2)
Multiply the numerator of the second fraction by x
= -
Distribute and simplify the numerator leaving the denominator
=
=