First, find the gradient/slope:
Use slope formula:
m=(y2-y1)/(x2-x1)
=(11-5)/(3-1)
=6/2
=3
Then use the line equation formula:
y=mx+c
You can substitute (1,5) if you like, also must substitute the slope as well!
5=3x1+c
c=2
Then find the full equation, which gives you the answer:
y=3x+2
<u>Given</u>:
The measure of ∠ABD is (4x + 15)°
The measure of ∠DBC is (13x + 7)°
We need to determine the value of x.
<u>Value of x:</u>
Since, we know the property that every angle in a rectangle is 90°
Hence, the value of x can be determined by adding the two angles and equating to 90°
Thus, we have;
Substituting the values, we have;
Thus, the value of x is 4.
Answer: -2x + 5x^2
Step-by-step explanation:
3x + 6x^2 - 5x - x^2 = x(3-5) + x^2(6-1) = -2x + 5x^2
X = 5
So 3x = 3(5) = 15
3x = 15
Answer:
The probability is 0.080757
Step-by-step explanation:
We start by calculating the z-score
z-score = (x-mean)/SD/ √n
In this case;
x = 247 , mean = 240, SD = 50 and n = 100
z-score = (247-240)/50/√100
z-score = 7/50/10
= 7/5 = 1.4
So the probability we want to calculate is;
P( x > 1.4)
we can use the standard normal distribution table for this
P(x > 1.4) = 0.080757
