The equation above is the intercept form. Both a-term and b-term are the roots of equation.
These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.
Here we can convert the expression x+1/3 to this.
Rewrite the equation.
Simplify by multiplying both expressions.
<u>Answer</u><u> </u><u>Check</u>
Substitute the given roots in the equation.
The equation is true for both roots.
<u>Answer</u>
Answer:
B
Step-by-step explanation:
Angle 4 × Angle 3 = 90
Complementary angles
11x + 4x = 90
15x = 90
x = 6
Angle 3 = 4x = 4(6) = 24°
Answer:
Step-by-step explanation:
John had some number of apples. Niyati his girlfriend wanted 12 of johns apples. John gave niyati 3/4s of his apples what was his starting amount?
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 12
For the alternative hypothesis,
µ < 12
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 12 minutes
x = 8 minutes
σ = 12 minutes
n = 36
z = (8 - 12)/(12/√36) = - 4/2 = - 2
Test statistic = - 2
Answer: 80 miles for the first ship, and 150 miles for the other.
Explanation:
First thing we should do is correspond each number with a letter:
Let x be the distance travel by ship heading east
Let y be the distance travel by ship heading south
y = x + 70 -- (1)
sqrt(x^2 + y^2) = 170 -- (2)
Subtract (1) into (2):
sqrt(x^2 + (x + 70)^2) = 170
x^2 + x^2 + 140x + 4900 = 28900
2x^2 + 140x - 24000 = 0
x ^2 + 70x - 12000 = 0
(x - 80)(x + 150) = 0
x = 80 or -150
Since the distance for the first ship can’t be negative, therefore, x = 80 -- (3)
Subtract (3) into (1), therefore, y = 150
Hope this helps! :)
