Answer:
x = 9
Step-by-step explanation:
To solve these problems, you first set up an equation representing the information given.
6x = x² - 27
This turns into a quadratic equation which you need to factor out.
0 = x² - 6x - 27
You want to choose two numbers that multiply to -27, and add up to -6
0 = (x - 9)(x + 3)
If you're unfamiliar with factoring, you take the opposite sign of the number in the parentheses because it's a shortcut when setting it equal to 0.
x = 9, -3
Since it asks for the positive solution only, the answer is x = 9.
I hope this helps!
Answer:
Step-by-step explanation:
Parallel line has same slope with the given, so the line is
Using the given point, finding the value of b
- -2 = -7 + b
- b = 7 - 2
- b = 5
The equation is
Answer:
Its bad to cheat on a test my dude
Step-by-step explanation:
Answer:
Option a and b are correct
Step-by-step explanation:
According to the triangle inequalities rule, sum of two sides of triangle must be greater than the third side.
The two sides given are 15 cm and 19 cm
Their sum is: 15+19 = 34
So, the third side should be less than 34
i.e if third side is x then 0<x<34
So, from given options value of x can be 6 cm or 4 cm
Option a and b are correct.
Answer:
Rate = 51.74%
Step-by-step explanation:
Principal amount= $48000
Amount paid is done 2 times in a year for ten years
= $4000*2*10
Amount paid= $80000
A= p(1+r/n)^nt
80000= 48000(1+r/20)^(20*10)
(80000/48000)= (1+r/20)^(200)
(200)√(1.6667)= 1+ r/20
1.025870255-1= r/20
0.025870255*20= r
0.5174= r
Rate in decimal= 0.5174
In percentage= 51.74%