Let X & Y be the two integers
X+Y=18 Y = 18-X
XY = 80
We can substitute 18-X for Y in the equation XY = 80
X(18-X) = 80
Distributing
18X - X2 = 80
Subtract 80 from both sides so that the equation is equal to 0
-X2 + 18X - 80 = 0
Multiply (or divide by -1 so that the leading coefficient is positive, not negative)
X2 - 18X + 80 = 0
We can factor this quadratic
(X-10)(X-8) = 0
Setting each factor equal to 0 we can solve for X.
X-10 = 0 X-8 = 0
X = 10 X = 8
The two integers are 8 and 10.Answer:
Step-by-step explanation:
Given:
m∠APB = 74°
To find:
The measure of ACB
Solution:
The measure of the central angle is congruent to the measure of the intercepted arc.
⇒ m(ar AB) = m∠APB
⇒ m(ar AB) = 74°
The complete angle of the circle is 360°.
⇒ m(ar ACB) + m(ar AB) = 360°
⇒ m(ar ACB) + 74° = 360°
Subtract 74° from both sides.
⇒ m(ar ACB) = 286°
The measure of arc ACB is 286°.
I can understand why it might be tough, so I'm here to help.
Translation is as simple as moving the points as told.
For example, do you see where point T currently resides? From there you'd move it 4 units to the left and 5 down, where it'd end up at (-4,-3). Now do the same for every point.
Point T would end up at (-4,-3)
Point S would end up at (-2,-2)
Point R would end up at (0,-3)
3a-5 is an example of expression
