Answer:
x=5 and y=15
Step-by-step explanation:
x−2y=−25
x−2y+2y=−25+2y(Add 2y to both sides)
x=2y−25
Step: Substitute2y−25forxin3x−y=0:
3x−y=0
3(2y−25)−y=0
5y−75=0(Simplify both sides of the equation)
5y−75+75=0+75(Add 75 to both sides)
5y=75
5y
5
=
75
5
(Divide both sides by 5)
y=15
Step: Substitute 15fory in x=2y−25:
x=2y−25
x=(2)(15)−25
x=5(Simplify both sides of the equation)
Answer:
Step-by-step explanation:
<u>Given the sequence</u>
<u>To find </u>
- Sum of terms from i=5 to i=15
<h3>Solution</h3>
We see the sequence is AP
<u>The required sum is</u>
<u>Using sum of AP formula</u>
<u>Finding the required terms</u>
- i₁ = - 4- 6 = -10
- i₄ = -4 -6*4 = - 28
- i₁₅ = -4 -6*15 = -94
<u>Getting the sum</u>
- S₄ = 1/2*4*(-10 - 28) = -76
- S₁₅ = 1/2*15*(-10 - 94) = -780
- S₅₋₁₅ = S₁₅ - S₄ = -780 - (-76) = - 704
To start this problem, we know that one of the three pieces that the string is cut into is 15 meters longer than the others. Subtract 15 from 42 to get 27.
Then, from there, you can cut that number (<em>divide</em>) by three to get the length of the two shorter strings. Simply add the 15 meters you didn't use yet to one of the pieces to find the longer string, and you have your lengths.
Hope this helps!
-refrac532
For all of the questions or only one-?
Answer:
for me the answer is letter B.