Answer:
A) 1/(3x+1)
Step-by-step explanation:
(x+2)/(x³+2x²-9x-18)÷(3x+1)/(x²-9)
(x+2)/(x+2)(x+3)(x-3)÷(3x+1)/(x+3)(x-3)
since it’s dividing by a fraction, invert and multiply
(x+2)/(x+2)(x+3)(x-3) times (x+3)(x-3)/(3x+1)
The (x+2)’s cancel out.
The (x+3)’s cancel out.
The (x-3)’s cancel out.
You are left with 1/(3x+1)
Answer:
2:5
Step-by-step explanation:
Total marbles: 10
red: 2
yellow: 5
2:5
The area of rhombus is 24 square units.
Step-by-step explanation:
Given,
Length of one diagonal = p = 3+3 = 6 units
Length of other diagonal = q = 4+4 = 8 units
Area of rhombus = 
Area of rhombus = 
Area of rhombus = 
Area of rhombus = 24 square units
The area of rhombus is 24 square units.
Keywords: rhombus, area
Learn more about areas at:
#LearnwithBrainly
Answer:
0.95988 (Accuracy of the test )
Step-by-step explanation:
To determine the accuracy of this test we have to list out the given values
Prevalence rate of the disease = 0.3% = 0.003
sensitivity rate of the disease = 92% = 0.92
specificity rate for the test = 96% = 0.96
The accuracy of the test can be found using this equation
Accuracy = sensitivity * prevalence + specificity ( 1 - prevalence )
= 0.92 * 0.003 + 0.96 ( 1 - 0.003 )
= 0.00276 + 0.95712
= 0.95988
The length of hypotenuse of an isosceles right triangle with two equal legs each 4 cm is given by Pythagorean theorem as follows.
√42+42.
=√32.
=4√2.
4√2 cm.
