Answer: -15
Step-by-Step Explanation:
1) Reorder the terms
36-51
2) Use the rule: a-b=-(b-a)
-(51-36)
3) Use the algorithm method
51
-36
——
15
4) After simplification, we have:
-(51-36)=-15
5)Therefore, -51+36=-15
-15
Prime numbers > than 5 are 7, 11, 13, 17, and 19 so 5/20, or 1/4, or 25% chance
Answer:
The figure is attached down
Step-by-step explanation:
To graph a line you must have its equation
The form of the linear equation is y = m x + b, where
- m is its slope
- b is the y-intercept (y at x = 0)
∵ The slope of the line is 
∴ y =
x + b
- To find b substitute x and y in the equation by the coordinates
of a point on the line
∵ The line passing through point (-5 , -4)
∴ x = -5 and y = -4
∵ -4 =
(-5) + b
∴ -4 =
+ b
- Subtract
from both sides
∴
= b
∴ y =
x - 
To draw the line substitute x by any two values and find their ys
∵ x = -2
∴ y =
(-2) -
∴ y = -6
∴ The line passing through point (-2 , -6)
∵ x = 1
∴ y =
(1) -
∴ y = -8
∴ The line passing through point (1 , -8)
∵ x = 4
∴ y =
(4) -
∴ y = -10
∴ The line passing through point (4 , -10)
Now we can make a table to draw the line
→ x : -5 : -2 : 1 : 4
→ y : -4 : -6 : -8 : -10
Plot the points on the graph paper and draw the line
<em>Look to the attached graph</em>
There are 90 4-digit palindromes
<h3>What are palindromes?</h3>
Palindromes are numbers whose reverse is the same as the original number
<h3>How to determine the count of 4-digit palindromes</h3>
Since the digit is 4, then
- The first digit of the palindrome can be any of 1 to 9 (i.e. 9 digits)
- The second digit can be any of 0 - 9 (i.e. 10 digits)
- The third digit must be the second digit (i.e. 1 digit)
- The last digit must be the first digit (i.e. 1 digit)
So, the total number of digits is:

Evaluate the product

Hence, there are 90 4-digit palindromes.
Read more about numbers at:
brainly.com/question/251701
Answer:
and 
Step-by-step explanation:
The correct equation is:

To solve by completing the square method.
Solution:
We have:

In order to solve by completing the square method we will carry out the following operations to the given equation to get a perfect square binomial.
We can write as:

[As
]
Adding both sides by 

Taking LCD to add fraction.


Taking square root both sides.


Subtracting both sides by
:


So, we have:
and 
and 
and
(Answer)