As we already have the value of y,we can put it into another equation.
Here's how we can solve the equation:
y = 2x+48...(1)
y = 8x...(2)
Put (2) into (1)
(8x) = 2x+48
8x-2x = 48
6x = 48
x = 8...(3)
Put (3) into (1)
y = 8(8)
y = 64
Thus, x=8, y+64
Hope it helps!
Answer:
all of the 5's go into the 5 columns all of the 4's go into the 4s column and all of the 3s go into the 3s column also the lines in front and behind each number are not ones that is an absolute value sign
Answer:
x₁ = 2 x₂ = 1
Step-by-step explanation:
We solve this equation by factoring it
x² - 3x +2 = 0
We look for two numbers that if we add them the result is -3, and also if we multiply them the result is 2
the numbers we are looking for are -2 and -1
Then we write the equation in this way
(x-2)(x-1) = 0 and finally we equal each therm to zero
x₁ - 2 = 0
x₁ = 2
x₂ -1 = 0
x₂ = 1
<h3>
Answer:</h3>
48
<h3>
Step-by-step explanation:</h3>
Let x represent the distance OC. Then CD = x+2, and DP = 16-x. The radius of circle P is ...
... CD +DP = (x+2) +(16-x) = 18
The radius of circle O is ..
... OC + CD = (x) + (x +2) = 2x+2
The length OP is ...
... OC + CP = (x) + (18) = x+18.
Now, the perimeter of ΔAOP is ...
... radius of circle O + radius of circle P + OP = 80
... = (2x+2) + 18 + (x+18) = 3x+38 = 80
Then x is ...
... x = (80 -38)/3 = 14
and the radius of circle O is
... 2x +2 = 2·14 +2 = 30
The desired sum is ...
... OB + BP = (radius of circle O) + (radius of circle P) = 30 + 18
... OB + BP = 48
Since some sides are congruent to the mirrored of itself, you can conclude that a = 65 degrees
b = 180 - 65 = 115 degrees
c = 20 degrees (180 = 45 + 115 + x)
d = 45 degrees