Logan is 125 meters away from the treasure.
Also, this question seems like an elementary school question, not a high school question, so why does it say that you are in high school?
Answer:
The parabola's axis of symmetry is x = -6
Step-by-step explanation:
Parabola general equation:
y = a*(x - r1)*(x - r2)
Equation given:
y = (-1/4)*(x + 2)*(x + 10)
a = -1/4
r1 = -2
r2 = -10
To check if the parabola passes through the point (2, 10) it is necessary to replace x = 2 and check the y-value, as follows:
y = (-1/4)*(2+ 2)*(2 + 10) = -12
Then, point (2, 10) is not included in the parabola.
If a > 0 then the parabola opens upward; if a < 0 then the parabola opens downward. Then, the parabola opens downward
Axis of symmetry:
h = (r1 + r2)/2
h = (-2 + -10)/2 = -6
Then, The parabola's axis of symmetry is x = -6
To find Parabola's vertex, replace with the axis of symmetry:
y = (-1/4)*(-6 + 2)*(-6 + 10) = 4
Therefore, the parabola has a vertex at (-6, 4)
Answer:
y=60° b=60°
Step-by-step explanation:
the sum of all degrees of interior triangle is 180
in the first one, 30° and 90° have been given.(that small square represent 90°)
so 180°-90°-30°=60°
in the second one, the 120° is on the other side of a line, a line has a degree of 180, therefore the interior angle is 60°, the same rule 180°-2*60°=60°
6x+3x+8=35
Step 1: Simplify both sides of the equation.
6x+3x+8=35
(6x+3x)+(8)=35(Combine Like Terms)
9x+8=35
9x+8=35
Step 2: Subtract 8 from both sides.
9x+8−8=35−8
9x=27
Step 3: Divide both sides by 9.
9x
9
=
27
9
x=3
Answer:
x=3
12w−5−3w=40
Step 1: Simplify both sides of the equation.
12w−5−3w=40
12w+−5+−3w=40
(12w+−3w)+(−5)=40(Combine Like Terms)
9w+−5=40
9w−5=40
Step 2: Add 5 to both sides.
9w−5+5=40+5
9w=45
Step 3: Divide both sides by 9.
9w
9
=
45
9
w=5
Answer:
w=5
Answer:
x=9
Step-by-step explanation:
80+6x+16=17x-3
=>17x-3-6x-16=80
=>11x-19=80
=>11x=80+19
=>11x=99
=>x=99/11
therefore
x=9
