Answer:
see explanation
Step-by-step explanation:
Factor the numerators/ denominators where possible
x² + 7x + 10 = (x+ 2)(x + 5)
x² - 3x - 18 = (x - 6)(x + 3)
x² + x - 2 = (x + 2)(x - 1)
Hence
=
× 
Cancel the factors (x + 2) and (x + 3) on numerator/denominator
=
← in simplest form
The denominator of the product cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.
solve x - 1 = 0 ⇒ x = 1 ← restricted value
Answer:
−190b+16y−8
Step-by-step explanation:
There will be 54 students on the Track team.
1.) 0.09 x 600
2.) 54
To check this answer, follow these steps
1.) 54 divide by 600
2.) 0.09
That means 54 is 0.09% of 600
The value of x is 10° and the measure of angle DBC (m∠DBC ) is 60°
From the given information
We have that ∠ABD is complementary with ∠DBC
(NOTE: Complementary angles sum up to 90°)
That is,
∠ABD + ∠DBC = 90°
Also,
∠ABD = 2x+10 and ∠DBC = 10x-40
∴ 2x + 10 + 10x - 40 = 90°
a)
Now, solve for x
2x + 10 + 10x - 40 = 90°
This becomes
12x -30 = 90°
12x = 90° + 30
12x = 120
∴ x = 120 ÷ 12
x = 10°
b) To find m∠DBC
∠DBC = 10x - 40
Substitute the value of x
That is,
∴ m∠DBC = 10(10) - 40
m∠DBC = 100 - 40
m∠DBC = 60°
Hence, the value of x is 10° and the measure of angle DBC (m∠DBC ) is 60°
Learn more here: brainly.com/question/18277030
Answer:
ANSWER = "D"
Step-by-step explanation:
A ∪ B = eliminates answer B/C
C ∩ D = eliminates A
ANSWER = "D"