Answer:
A
Step-by-step explanation:
The x is the varible connected to the changing number. -2 is getting added to 43 every hour as displayed with -2x+43.
Answer:
y = -x-7
Step-by-step explanation:
y=mx+b where m = the slope and b = the y intercept
the slope = change over y/change over x = (5-(-3))/(-9-(-3))=(5+3)/(-9+3)=8/(-6)=4/(-3)
y=-4/3x+b
plug in one of the points (it can be either)
-3=-4/3(-3)+b
-3=4+b
b=-7
y=-4/3x-7
M=30°; N=20°; MN=10 units; PN=?
In this case, we have one side MN=10 units, and the two adjacent angles, angle M=30° and angle N=20°. This is an ASA triangle (Angle Side Angle), and we can solve it using the Law of Sines:
PN / sin M=MN / sin P
PN / sin 30°=10 / sin P
angle P=?
angle M + angle N + angle P=180°
30°+20°+angle P=180°
50°+angle P=180°
Solving for angle P:
50°+angle P -50°=180°-50°
angle P=130°
Replacing in the Law of sines:
PN / sin 30°=10 / sin P
PN / sin 30°=10 / sin 130°
Solving for PN. Multiplying both sides of the equation by sin 30°:
sin 30°(PN/sin 30°)=sin 30°(10/sin 130°)
PN=10 sin 30°/sin 130°
PN=10(0.5)/0.766044443
PN=6.527036448
Rounded to one decimal place:
PN=6.5
Answer: Second option 6.5 units
I can't describe this in words but heres a picture
Answer:
-x² + x + 6
Step-by-step explanation:
Hey there!
To solve this, you have to use foil...
( 3 - x ) ( x + 2 )
3 ( x + 2 ) = 3x + 6
-x ( x + 2 ) = -x² - 2x
3x + 6 - 2x - x²
-x² + x + 6
Hope this helps :)