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3 years ago

10

find the coordinates of the vertex of the following parabola algebraically. write your answer as an (x, y) point. y = -3x^2 + 48

x - 195

1 answer:

77julia77 [94]3 years ago

8 0

Answer:(8,-3)

Step-by-step explanation:

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Solve using the Pythagorean identity<br>

Lynna [10]

<h3> $\bold{Sin\theta_{1}=-\frac{4}{5}}$ </h3>

Answer:

Solution given

Cos $\displaystyle \theta_{1}=\frac{3}{5}$

consider Pythagorean theorem

$\bold{Sin²\theta+Cos²\theta=1}$

Subtracting $Cos²\theta$ both side

$\displaystyle Sin²\theta=1-Cos²\theta$

doing square root on both side we get

$Sin\theta=\sqrt{1-Cos²\theta}$

Similarly

$Sin\theta_{1}=\sqrt{1-Cos²\theta_{1}}$

Substituting value of $Cos\theta_{1}$

we get

$Sin\theta_{1}=\sqrt{1-(\frac{3}{5})²}$

<h3>Solving numerical</h3>

$Sin\theta_{1}=\sqrt{1-(\frac{9}{25})}$

$Sin\theta_{1}=\sqrt{\frac{16}{225}}$

$Sin\theta_{1}=\frac{\sqrt{2*2*2*2}}{\sqrt{5*5}}$

$Sin\theta_{1}=\frac{4}{5}$

Since

In IVquadrant sin angle is negative

$\bold{Sin\theta_{1}=-\frac{4}{5}}$

7 0

2 years ago

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For the function f(x) = - 3x + 7 f(- 8) = _<br> f(-8) = (Simplify your answer)

kodGreya [7K]

31

just substitute -8 for all x

process here:

f(x) = -3x + 7
f(-8)= -3(-8) + 7

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2 years ago

Ali, Ben, and Cliff plant seedlings in their neighborhood park. Ali plants 40% of the total number of seedlings, Ben plants 45%

Juli2301 [7.4K]

Answer:

580 seedlings altogether.

Step-by-step explanation:

Given that,

Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. Cliff plants 87 seedlings.

The percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%

<em>Let x = the total number of seedlings</em>

<em /> $15\%\ of\ x=87\\\\x=\dfrac{87\times 100}{15}\\\\x=580$

Hence, three boys plant 580 seedlings altogether.

7 0

2 years ago

Plz help with this question

likoan [24]

Answer:i dont know to do this stuff but i think you have to divide i think ???

Step-by-step explanation:

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2 years ago

HOMEWORK HELP NEED TO KNOW

Thepotemich [5.8K]

5 is b because 3/6 is equivalent to 1/2
6 is a because 1/6 is less than half

5 0

3 years ago

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