Answer:
8
Step-by-step explanation:
Answer: 6.71
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Work Shown:
The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.
Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x
a^2 + b^2 = c^2
3^2 + 6^2 = x^2
9 + 36 = x^2
45 = x^2
x^2 = 45
x = sqrt(45)
x = 6.7082039
x = 6.71
M∠ rst + m∠ vst = 180°
3 x + 7° + 9 x + 17° = 180°
12 x + 24° = 180°
12 x= 180° - 24°
12 x = 156°
x = 156° : 12
x = 13°
m ∠ rst = 3 · 13° + 7° = 39° + 7° = 46°
m ∠ vst = 180° - 46° = 134°
Answer:
A ) 46° and 134°
Answer: x < 7
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -8x by subtracting 40 from both sides.
That leaves you with -8x > -56.
To get <em>x</em> by itself, divide both sides by -8 but watch out.
If you divide both sides of an inequality by a negative,
you must switch the direction of the inequality sign.
So we have x < 7.
Since <span>y = x2 - 8x + 12 is a quadratic equation, it is the same of y=ax²+bx+c
the main formula of the vertex is x= -b/2a, and y=f(-b/2a)
for our case x= -(-8) / 2=4, and f(4)= -4
the answer is </span><span>B. (4, -4)</span>
