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3 years ago

Please answer quickly

Mathematics

1 answer:

notka56 [123]3 years ago

4 0

Answer:

$\frac{16}{3}$

Step-by-step explanation:

To evaluate substitute x = - $\frac{1}{2}$ into f(x)

f( - $\frac{1}{2}$ )

= - $\frac{2}{3}$ × - $\frac{1}{2}$ + 5

= $\frac{1}{3}$ + 5

= $\frac{1}{3}$ + $\frac{15}{3}$ = $\frac{16}{3}$

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Name the marked angle in 2 different ways. <br><br><br>

DanielleElmas [232]

Answer:

Two different ways are :

1. ∠RQS

2. ∠SQR

5 0

3 years ago

If the radius is 14cmand The perimeter of the sector is 57.32cm.<br>what is the size of the angle?

Degger [83]

Answer:

120°

Step-by-step explanation:

A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:

Perimeter of sector = $\frac{\theta}{360} *2\pi r$ + 2r

Where θ is the angle which forms the sector and r is the radius of the circle.

Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:

Perimeter of sector = $\frac{\theta}{360} *2\pi r$ + 2r

$57.32=\frac{\theta}{360} *2\pi *14+2(14)\\\\57.32-28=\frac{\theta}{360} *2\pi *14\\\\29.32=\frac{\theta}{360} *2\pi *14\\\\ \frac{\theta}{360}=\frac{29.32}{2\pi *14} \\\\\frac{\theta}{360}=0.33\\\\\theta=120^o$

7 0

3 years ago

8g+7+3g+12 can be written as?

jenyasd209 [6]

Answer:

11g + 19

Hope this helps

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What transformations are needed to change the parent cosine function to y=3cos(10(x-pi))?

LUCKY_DIMON [66]

Answer:

The graph of $y=cos(x)$ is:

*Stretched vertically by a factor of 3

*Compressed horizontally by a factor $\frac{1}{10}$ .

*Moves horizontally $\pi$ units to the rigth

The transformation is:

$y=3f(10(x-\pi))$

Step-by-step explanation:

If the function $y=cf(h(x+b))$ represents the transformations made to the graph of $y= f(x)$ then, by definition:

If $0$ then the graph is compressed vertically by a factor c.

If $|c| > 1$ then the graph is stretched vertically by a factor c

If $c$ then the graph is reflected on the x axis.

If $b> 0$ The graph moves horizontally b units to the left

If $b$ The graph moves horizontally b units to the rigth

If $0$ the graph is stretched horizontally by a factor $\frac{1}{h}$

If $h> 1$ the graph is compressed horizontally by a factor $\frac{1}{h}$

In this problem we have the function $y=3cos(10(x-pi))$ and our parent function is $y = cos(x)$

The transformation is:

$y=3f(10(x-\pi))$

Then $c =3>1$ and $b =-\pi < 0$ and $h=10 > 1$

Therefore the graph of $y=cos(x)$ is:

Stretched vertically by a factor of 3.

Also as $h=10$ the graph is compressed horizontally by a factor $\frac{1}{10}$ .

Also, as $b =-\pi < 0$ The graph moves horizontally $\pi$ units to the rigth

6 0

3 years ago

1. 4t=108

Genrish500 [490]

Answer:

$1)4t = 108 \\ t = \frac{108}{4} = 27 \\ thank \: you \\ 2) {(p + 6)}^{2} = 9 \\ take \: root \: \\ (p + 6) = 3 \\ p = 3 - 6 \\ p = - 3 \\ thank \: you$

6 0

3 years ago