Answer:
( p - 4 ) ( p - 12 ) = 0
Step-by-step explanation:
To factor this equation, let's apply the quadratic formula.
p^2 - 16p + 48 = 0
Let a = 1, b = -16, c = 48
[-b +/- sqrt(b^2 - 4(a)(c))] / 2 (a)
[- (-16) +/- sqrt( (-16)^2 - 4(1)(48)) ] / 2 (1)
= [ 16 +/- sqrt( 256 - 192) ] / 2
= [ 16 +/- sqrt(64) ] / 2
= [16 +/- 8] / 2
p = (16 + 8) / 2 ; p = (16 - 8) / 2
p = 24 / 2 ; p = 8 / 2
p = 12 ; p = 4
Hence, this equation factors into the following:
( p - 4 ) ( p - 12 ) = 0
Cheers.
Look at the picture.
Use the Pythagorean theorem.
The diameter d = 2r.
Therefore
Answer: 45.5
Hey there!
y = -2x + 19
y = x + 7
We gonna solve this system of equation by using the substitution method.
We wanna solve y = -2x + 19 for y
Let start by substitute -2x + 19 for y in y = x + 7
y = x + 7
-2x + 19 = x + 7
Subtract x from both sides
-2x + 19 - x = x + 7 - x
-3x + 19 = 7
Now subtract 19 on both sides
-3x + 19 - 19 = 7 - 19
-3x = -12
Then divide both sides by -3
-3x/-3 = -12/-3
x = 4
We have the value of x. Now we gonna use that same value to find the value for y.
We gonna do that by substitute 4 for x in y = -2x + 19
y = -2x + 19
y = -2(4) + 19
y = -8 + 19
y = 11
Thus,
The answer is: x = 4 and y = 11
Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!
Answer:
-7
Step-by-step explanation:
Let's try getting rid of the numbers to isolate the x.
Add x on both sides to get rid of the x on the right side and to get 2x on the left side. This leaves us with 15.3 + 2x = 1.3
Subtract 15.3 on both sides to get rid of the 15.3 on the left side.
This would leave us with 2x = -14
Divide 2 on both sides to isolate the x.
The answer is x = -7
The interior of a triangle = 180°
So 180° - 85° -50° = 45°
c. 45 degrees
