Answer:
1 and 3 are both perpendicular to segment NY
Step-by-step explanation:
1. Find the slope of line NY
slope of NY = 5-(-7)/-11-5 = - 3/4
Any line that is perpendicular to NY should have a slope of the inverse of negative slope of NY.
2.Find the slope of perpendicular lines
the inverse of negative slope of NY = - (-4/3) = 4/3
Answer:
3x² + 3x - 36=
(3x+12)(x-3)
x² - 3x - 28=
(x+4)(x-7)
Step-by-step explanation:
For both equations use the method called the "Cross Method". It is useful for these type of factorisation questions called "Trinomials".
For more info on the cross method.
Here it is:
https://www.mathsteacher.com.au/year10/ch10_factorisation/05_cross_mult_method/cross.htm
Hope you enjoyed :D
Answer:
<em>The first step is to determine the average
</em>

<em>The exercise says it’s a normal distribution: (n=8)</em>

<em>According to the exercise, the mean is equal to 0,5 then the value of t of the distribution can be obtained
</em>
<em />

<em>The variable t has 7 grade to liberty, we calculate the p-value as:
</em>

This value is very high, therefore the hypothesis is not rejected
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53 (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a - 3b = 26
------------------- - (substract)
5b = 80
b = 80/5
b = 16
Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37
The numbers are 16 and 37</span>