Answer:
Step-by-step explanation:
Which grade you are
Answer: x = y + −3/2
Step-by-step explanation:
Let's solve for x.
−3+5y=2x+3y
Step 1: Flip the equation.
2x+3y=5y−3
Step 2: Add -3y to both sides.
2x+3y+−3y=5y−3+−3y
2x=2y−3
Step 3: Divide both sides by 2.
2x/2 = 2y - 3/2
ANSWER: x = y + -3/2
Sec^2 x - 1 = tan^2x
Proof:
Sec^2x = 1+ tan^2x
1/cos^2x = 1 + sin^2x/cos^2x
<span>1/cos^2x - sin^2x/cos^2x = 1
</span>Using common denominator:
(1-sin^2x)/cos^2x = 1
sin^2x + cos^2 x = 1
cos^2 x = 1 - sin^2x
Substituting :
cos^2x/<span>cos^2x = 1
</span>1 = 1
Left hand side = right hand side
Answer:
see explanation
Step-by-step explanation:
Given x and y are in proportion then the equation relating them is
y = kx ← k is the constant of proportion
To find k use an ordered pair from the table
Using (2, 10 ), then
10 = 2k ( divide both sides by 2 )
5 = k , thus
y = 5x ← relationship between x and y
Answer:
5 pieces
Step-by-step explanation:
Given:
Paula's painting has a perimeter of 1.22 meters.
She wants to put ribbon around the edge.
If the ribbon comes in pieces that are 25 centimeters long.
Question asked:
How many pieces of ribbon does she need to go all the way around her painting?
Solution:
Perimeter of painting = 1.22 meters
First of all we will convert it into centimeters:-
As we know:
1 meter = 100 centimeters
1.22 meters = 100
1.22 = 122 centimeters
Now, as given that ribbon comes in pieces of 25 cm long and total we should have 122 cm to go all the way around the painting.
Number of pieces of ribbon will be needed = 
Thus, she need 5 pieces of 25 cm long ribbon to go all the way around the painting.
<u>Note</u>:-This is by default understood that few length of 5th ribbon will be left over.