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zaharov [31]
3 years ago
15

Find the equation of the axis of symmetry for this function F(x)= 5x^2 - 3x + 5

Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

x = \frac{3}{10}

Step-by-step explanation:

Given a quadratic in standard form, ax² + bx + c : a ≠ 0

Then the axis of symmetry is a vertical line with equation x = h

where h is the x- coordinate of the vertex.

The x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = 5x² - 3x + 5 ← is in standard form

with a = 5 and b = - 3, thus

x_{vertex} = - \frac{-3}{10} = \frac{3}{10}

Thus the equation of the axis of symmetry is x = \frac{3}{10}

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Can someone help me with this thanks ​
Ugo [173]

The length of the brace required is 4.3m

What is sine rule?

In a ΔABC a, b and c are the sides and A, B and C are angles then,

\frac{a}{SinA}=\frac{b}{sinB}=\frac{c}{sinC}

We can find the length, l as shown below:

Let AB=3m, BC=2m and AC=l

Let ∠A=25°

So, in ΔABC

\frac{BC}{sinA}=\frac{AB}{sinC}=\frac{AC}{SinB}

\frac{BC}{sinA}=\frac{AB}{sinC}

\frac{2}{sin25}=\frac{3}{sinC}

\angle{C}=sin^{-1}(\frac{3\times sin25}{2} )

∠C=39.34°

∠A+∠B+∠C=180°

∠B=180°-25°-39.34°

∠B=115.66°

\frac{BC}{sinA}=\frac{AC}{SinB}

\frac{2}{sin25}=\frac{l}{sin(115.66)}

l=\frac{2\times sin(115.66)}{sin25}

l=4.2659

Rounding to nearest tenth of meter.

l=4.3m

Hence, the length of the brace required is 4.3m

Learn more about Sine Rule here:

brainly.com/question/25852087

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8 0
2 years ago
the average person drinks 1 pint of milk a day . At this rate, how many gallons will a person drink in a leap year
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Hey there,
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Hope this helps :))

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3 years ago
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