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3 years ago

10

Which direction would the graph of y=-|x+2|+3 open?

2 answers:

romanna [79]3 years ago

5 0

This is it, it will open down :)

miskamm [114]3 years ago

4 0

Answer:

The absolute function opens in downward direction.

Step-by-step explanation:

we have to find the direction in which the graph of y=-|x+2|+3 open.

The general form of an absolute value function is f(x)=a|x-h|+k.

The absolute value function will always open to the negative direction when a is negative and positive direction i.e upward when a is positive.

Here, given absolute function is y=-|x+2|+3

which gives a=-1, negative

Hence, the absolute value function will always open to the negative direction. Because this is in the form y = -|x|, it opens down.

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What is the value of x?

WINSTONCH [101]

Answer:

$\large\boxed{x=8\sqrt2}$

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=8,\ leg=8,\ hypotenuse=x.\\\text{Substitute:}\\\\x^2=8^2+8^2\\\\x^2=2(8^2)\to x=\sqrt{2(8^2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\sqrt2\cdot\sqrt{8^2}\qquad\text{use}\ \sqrt{a^2}=a\\\\x=8\sqrt2$

$\bold{METHOD\ 2}\\(look\ at\ the\ picture)\\\\\text{We have}\ a=8.\ \text{Therefore}\ a\sqrt2=8\sqrt2$

5 0

3 years ago

The weight, w, of a spring in pounds is given by 0.9 times the square root of the energy, E, stored by the spring in joules. If

alex41 [277]

Answer:

B) $w\approx3.12$ pounds

Step-by-step explanation:

$w=0.9\sqrt{E}$

$w=0.9\sqrt{12}$

$w\approx3.12$

6 0

2 years ago

Hey i really need help with this. thank you:))

balandron [24]

Given:

$L=2\dfrac{1}{2}$ ft and $W=3\dfrac{2}{5}$ ft.

$P=2L+2W$

To find:

The value of P.

Solution:

We have,

$P=2L+2W$

Substituting $L=2\dfrac{1}{2}$ and $W=3\dfrac{2}{5}$ , we get

$P=2\times 2\dfrac{1}{2}+2\times 3\dfrac{2}{5}$

$P=2\times \dfrac{2(2)+1}{2}+2\times \dfrac{3(5)+2}{5}$

$P=2\times \dfrac{5}{2}+2\times \dfrac{17}{5}$

$P=5+\dfrac{34}{5}$

Taking LCM, we get

$P=\dfrac{5(5)+34}{5}$

$P=\dfrac{25+34}{5}$

$P=\dfrac{59}{5}$

$P=11\dfrac{4}{5}$

Therefore, the value of P is $11\dfrac{4}{5}$ ft.

7 0

3 years ago

Because of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. the plumber charges

seraphim [82]

Answer:

The plumbers cost would be equal to the equation 80+45x=y with y being the total amount of money he made and x being how many hours he worked.

Step-by-step explanation:

In this equation to find the amount the plumber was paid all you need to do is plug in the amount of hours he worked for x.

If the plumber worked his maximum of 8 hours then the equation would change from 80+45x=y to 80+(45×8)=440.

So, if the plumber worked for 8 hours he would make $440.

4 0

3 years ago

Find the original length if the map length is of 5cm and whose map ratio is 1:10000.

Virty [35]

50000 units on ground length

5:x 1:10000
5/x=1/10000
50000=x
Would appreciate a brainlist ty :)

6 0

2 years ago

Read 2 more answers