Answer:
x = 5, y = 2
Step-by-step explanation:
First, find the value of x in respect to y:
2x + 3y = 16
2x = 16 - 3y
x = 8 - 3/2y
Then, substitute this expression into the second equation (Since we've established x is equal to 8 - 3/2y, we can put that in place of x):
4(8 - 3/2y) + 10y = 40
Then, distribute and solve for y:
32 - 6y + 10y = 40
32 + 4y = 40
4y = 8
<u>y = 2</u>
Now that we know what y equals, we can substitute the value of y in the equation to find x:
2x + 3(2) = 16
2x + 6 = 16
2x = 10
<u>x = 5</u>
42 - -84=-42
Hope this helps :)
Answer:
a = 4.6
b = 4.2
Step-by-step explanation:
to find a, use cos:
⇒ cos = 
⇒ cos 30 = 
cos of 30 is 0.154
⇒ 0.154 =
multiply 13 on both sides:
⇒ 0.154 x 13 = x 13
⇒ 4.62 = a
round to the nearest tenth:
⇒ 4.62 = 4.6
⇒ a = 4.6
to find b, use tan:
⇒ tan = 
⇒ tan 60 = 
tan of 60 is 0.320
⇒ 0.320 =
multiply 13 on both sides:
⇒ 0.320 x 13 = x 13
⇒ 4.16 = b
round to the nearest tenth:
⇒ 4.16 = 4.2
⇒ b = 4.2
Answer:
a) 25/35
b) 30/42
Step-by-step explanation:
a)
Variable x = denominator if numerator is 25
5/7 = 25/x
5 × x = 7 × 25
5x = 175
x = 35
b)
Variable y = numerator if denominator is 42
5/7 = y/42
5 × 42 = 7 × y
210 = 7y
30 = y
Answer:
the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.
Step-by-step explanation:
