Answer:
p=59.19°
Step-by-step explanation:
We first find the length BD
BD=√(6²+5²)=√61
Using Pythagorean theorem,we find p by:
cos(p°)=4/√61
p=cos^-1(4/√61)
p=59.19°
Answer:
The product of 8 and n decreased by 5 is less than 25
Step-by-step explanation:
An inequality is used to compare two values, showing that one value smaller than, larger than, or not equal to another value. x ≠ y means that x is not equal to y. x < y means that x is less than y and x > y means that x is greater than y.
The inequality 8n - 5 < 25 can be written in statement as the product of 8 and n decreased by 5 is less than 25.
The product of 8 and n (means 8n) decreased by 5 (means 8n - 5) is less than 25 (means 8n - 25 < 25)
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Answer:
Solution given:
2x+10=28
subtracting both side by 10
2x+10-10=28-10
2x=18
dividing both side by 2
2x/2=18/2
x=9
Answer:
x = 3
y = 4
hey, I am not 100% sure of the certainty of my answers, I am using what I remember about that topic but I do not know if it is right or wrong, I hope I have helped you, I did what I could.
Step-by-step explanation:
-3x + 2y = 23
5x + 2y = -17
X solution:
(you cancel the y)
-3x = 23
5x = -17
(you combine all the values above with those below)
2x = 6
(solve the ecuation normaly)
x = 6/2 = 3
Y solution:
(you replace the x)
-3(3) + 2y = 23
5(3) + 2y = -17
-9 + 2y = 23
15 + 2y = -17
(you combine all the values above with those below)
6 + 4y = 6
(solve the ecuation normaly)
4y = 0
y = 4
(I do not really know if the answer here is 0 or 4 since when passing the 4 to divide it would be 0/4 and I do not understand very well how that is solved)
Answer:
That's the graph for the function f(x)= -1/2 x^2 + 7
The vertex is f(0) = 7
