Option 1
The equation of line in standard form passing through point (0, 5) is 5x – 9y = - 45
<u>Solution:</u>
Given that slope "m" = 
The lines passes through point (0, 5)
We have to write the equation of line in standard form
The standard form of an equation is Ax + By = C
Now first let use point slope form to find equation of line and then convert to standard form.
Converting to standard form by rearranging terms,
9(y - 5) = 5(x – 0 )
9y – 45 = 5x
5x – 9y = - 45
Hence, the line equation is 5x – 9y = - 45, so option 1 is correct.
ANSWER
EXPLANATION
We want to find an odds ratio from a given probability, which is
We subtract the numerator 1 from the denominator 4 to obtain
The answer is the number of unfavorable outcomes.
The Odds can then be expressed as
The ratio of favourable outcomes to unfavorable outcomes.
Or
Answer: Z=5
Step-by-step explanation:
Solve the rational equation by combining expression and isolating the variable z
Answer: 
Step-by-step explanation:
Observe the given figure.
You can identify that the measure of the angle "B" is:
Knowing this, you can conclude that the angle "p" and the angle "m" are Complementary angles, which means that the sum of their measures is 90 degrees. Then, you can write the following equation:
[Equation 1]
You know that:
Then you can substitute it into the [Equation 1] and then solve for 
. Therefore, you get:
Answer:
27
Step-by-step explanation:
a + b = 7
a - b = 3
2a = 10
a = 5
b = 7 - 5
b = 2
3⁵ / 3² = 3³ using law of indices
3³ = 27.
