Answer:
15p-9=5p-5
Step-by-step explanation:
i expanded the brackets I think this is correct if you wanted to expand it
Answer:
<u>The solution for this system is x = 1/2 and y = 9/2</u>
Step-by-step explanation:
1. We have this system of equations:
x - 3y = -13 and 5x + 7y = 34
2. Let's try to find out the value of x on the first equation:
x - 3y = - 13
x = 3y - 13
3. Now, let's replace x on the second equation for finding y:
5x + 7y = 34
5 (3y - 13) + 7y = 34
15y - 65 + 7y = 34
22y = 34 +65
22y = 99
2y = 9 (Dividing by 11 at both sides)
<u>y = 9/2</u> (Diving by 2 at both sides)
4. Now, let's find out the value of x on the first equation, using the value of y:
x - 3y = - 13
x - 3 (9/2) = - 13
x - 27/2 = -13
x = -13 + 27/2
x = (-26 + 27)/2 (Adding - 13 and 27/2)
<u>x = 1/2</u>
5. Finally, let's prove the values of x and y are correct on the second equation of the system:
5x + 7y = 34
5 (1/2) + 7 (9/2) = 34
5/2 + 63/2 = 34
(5 + 63)/2 = 34
68/2 = 34
<u>34 = 34</u>
<u>It has been proved that x = 1/2 and y = 9/2 are correct</u>
Answer:
x = 466.7 ft
Step-by-step explanation:
The lower angle in the right triangle = 31° ( alternate angle )
Using the cosine ratio in the right triangle, with hypotenuse x
cos31° = 
= 
Multiply both sides by x
x × cos31° = 400 ( divide both sides by cos31° )
x = 
≈ 466.7
Answer:
perimiter with side lengths.Because you gotta add up each side in order to find the perimiter. since a square is equalateral all sides are equal.
Step-by-step explanation:
Answer:
EF = 8.8 cm
Step-by-step explanation:
In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;
= 
+ 
= 
+ 
= + 
262.44 = + 184.96
= 262.44 - 184.96
= 77.48
EF = 
= 8.8023
EF = 8.8 cm
The length of side EF is 8.8 cm.
