Answer:
Yes.
Step-by-step explanation:
(3x + 1)(x + 2)
= 3x^2 + 6x + x + 2
= 3x^2 + 7x + 2.
Answer:
In bold below.
Step-by-step explanation:
let the shorter leg be x units long, then:
longer leg = x+4
and hypotenuse = x + x + 4 - 8 = 2x - 4 units.
By Pythagoras:
(2x - 4)^2 = x^2 + (x + 4)^2
4x^2 - 16x + 16 = x^2 + x^2 +8x + 16
2x^2 - 24x = 0
2x(x - 12) = 0
x = 12.
So the shorter leg = 12 units
Longer leg = 4 + 12 = 16 units and
Hypotenuse = 12 + 16 - 8 = 20 units.
Answer:
m∠1 = 24°
m∠3 = 66°
m∠6 = 66°
Step-by-step explanation:
They are all near the corners of the rectangle
The corners always equal 90°
But as you can see, they are split down the middle by the X in the rectangle and we have only one angle to go off of; 24°
Since m∠1 is in the same triangle as that angle, and it looks exactly the same, the angle is exactly the same.
m∠3 and m∠6, if you look closely, are also the same. And as I said before, the corners always are 90°. Since 24° is taken from the neighboring triangle, the amount left is 66°, and remember, 24° + x° HAS to equal EXACTLY 90°. So
90 - 24 = 66
So both m∠3 and m∠6 = 66°
Answer:
B. (-3, -2)
Step-by-step explanation:
Multiply the first equation by -1/3 and add the result to the second equation.
-1/3(3x -3y) +(5x -y) = -1/3(-3) +-13
4x = -12 . . . . simplify
x = -3 . . . . . . divide by 4
Substituting this into -1/3 times the first equation, we get ...
-(-3) +y = 1
y = -2 . . . . . . . subtract 3
The solution is (x, y) = (-3, -2).
9514 1404 393
Answer:
13.7 N
Step-by-step explanation:
The vertical component of the force is ...
(15 N)sin(66°) ≈ 13.7 N