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3 years ago

Whats the vertex at of y-13=2(x+4)^2

2 answers:

7 0

The vertex form:
$y=a(x-h)^2+k$
(h,k) - the coordinates of the vertex

$y-13=2(x+4)^2 \\
y=2(x+4)^2+13 \\
y=2(x-(-4))^2+13 \\ \\
h=-4 \\ k=13$

The coordinates of the vertex are (-4,13).

sashaice [31]3 years ago

4 0

The coordinates of the vertex are (-4,13).

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Which of the relations has a domain of {-5, 0, 5}?

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jason mixed 8ml of a salt solution with 11ml of a 47% salt solution to make a 43%salt solution. find the percent salt concentrat

choli [55]

Let x% be the salt concentration of first solution.

Then in 8ml, amount of salt = $\frac{8x}{100}$

Given that to this 8ml solution, 11ml solution of a 47% salt solution is mixed.

amount of salt in 11ml of 47% salt solution is $\frac{11*47}{100}$ = $\frac{517}{100}$

So, total amount of salt in new mixture = $\frac{8x}{100} +\frac{517}{100} = \frac{8x+517}{100}$

But given that this new solution is a 43% salt solution.

Hence amount of salt in new mixture of (8+11)=19ml solution of 43% salt solution is $\frac{19*43}{100} = \frac{817}{100}$

Hence $\frac{8x+517}{100} = \frac{817}{100}$

8x+517 = 817

8x=817-517 = 300

x= 300/8 = 37.5

Hence the salt concentration in the first solution is 37.5%

8 0

3 years ago

Find the distance CD rounded to the nearest tenth C=(10,-1) and D=(-6,3)

Fynjy0 [20]

Answer:

CD = 16.5

Step-by-step explanation:

To find the distance between two points, use this formula: $L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }$

point C can be info set 1: (10, -1) x₁ = 10 y₁ = -1

point D can be info set 2: (-6, 3) x₂ = -6 y₂ = 3

Substitute the information into the formula

$L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }$

$CD = \sqrt{(-6 -10)^{2}+(3 -(-1))^{2} }$ Simplify inside each bracket

$CD = \sqrt{(-16)^{2}+(4)^{2} }$ Square the numbers

$CD = \sqrt{256+16 }$ Add inside the root

$CD = \sqrt{272}$ Enter into calculator

$CD = 16.5$ Rounded to the nearest tenth, the first decimal

The distance CD is 16.5.

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3 years ago

Pls help me answer 2.2.3 and 2.2.4 (2.2.4 needs to be converted) ill give brainstorm

Anarel [89]

$\bold{\huge{\underline{ Solution }}}$

<h3>Analysis of graph :-</h3>

We have given one graph which is plot between distance and time. where time is in minutes and distance is in seconds.

According to the graph

For the first 5 minute ( O to A) , The distance is continously increasing 2m / per minute .
For the 5 minute that is from 5 minute to 13 minute ( A to B) both marellize and her dog wally moving with the constant speed .
For next 3 minutes that is from 10 minutes to 13 minutes ( B to C) , The distance is continously decreasing with time .
For next 3 minutes that is from 13 to 16 minutes ( C to D) , Again they moved with constant speed .
For next 6 minute that is from 16 to 21 minutes ( D to E) . Again, There distance is increasing with time .
Again For next 4 minutes that is 21 to 25 minutes , they are moving with constant velocity .

<h3>Let's Begin :-</h3>

1) Between O and A

The marellize and wally when moving between O to A , The distance is constantly increasing with time.
The graph is Straight line

2) Between A and B

The marellize and wally when moving between A to B, The distance remains the same with time that is they moving with constant speed.
The graph is constant or steady

3) Between B to C

The marellize and wally when moving between B to C, The distance is constantly decreasing with time .
The graph is straight line but it follows decreasing function .

4) For covering the First 6 km ,

According to the graph,

For covering first 6 km, They took 3 minutes.

5) No, Marellize and wally walk does not from where they have started.

According to the graph

It is end at 5 m instead of 0m .

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2 years ago