Jenna was selling muffins and bagels in the lobby to support the math club. Bagels sold for $0.75 and muffins sold for

Write a number that is greater than 4.508 but less than 4.512

Lelechka [254]

4.509 is greater that 4.508 and less than 4.512

5 0

2 years ago

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Which function has the domain x>or= -11

iogann1982 [59]

I'm assuming this is multiple choice and you forgot to post the answers. I'll take a guess and say it probably looks something like this:
$y = \sqrt{x + 11}$
Because you can't take the square root of a negative number without getting an imaginary result, resulting in the function having a closed domain limit.

6 0

2 years ago

21. Given directed line segment WV , find the coordinates of R

Jobisdone [24]

Answer:

$R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)$

Step-by-step explanation:

Let the coordinate of the points W, V and R are $(x_1,y_1), (x_2,y_2),$ and $(x_s,y_s)$ respectively.

The coordinate of the section point, $(x_s,y_s),$ which divides the line joining the two points $(x_1,y_1)$ and $(x_2,y_2)$ in the ration $m:n$ is

$x_s=\frac {nx_1+mx_2}{m+n}$ and

$y_s=\frac {ny_1+my_2}{m+n}$ .

The given ration is, $m:n=3:4$

$R(x_s,y_s)=R\left(\frac {nx_1+mx_2}{m+n} , \frac {ny_1+my_2}{m+n}\right)$

$=R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)$ .

The exact point can be determined by putting the value of the exact coordinate in the above-obtained formula.

6 0

2 years ago

Given ΔADC and ΔAEB, What is AE?

chubhunter [2.5K]

Answer:

AE = 43.2 units

Step-by-step explanation:

As per the given question image, it can be seen that in the $\triangle ADC \text { and }\triangle AEB :$

1. $\angle B = \angle C = 90^\circ$

2. $\angle A$ is common to both the triangles.

3. Two angles are common, so the third angle $\angle E$ is also equal to $\angle D$ .

All the three angles in the $\triangle ADC \text { and }\triangle AEB$ are equal to each other, hence the triangles are similar.

As per the property of similar triangles, the ratio of their sides will be equal.

AB : AC = AE : AD

AC = 88 units

BC = 55 units

AB = AC - AB = 33 units

Let side AE = $x$ units

Side AD = AE + ED

So, AD = $x + 72$

Using the ratio:

$\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units$

So, AE = 43.2 units

4 0

2 years ago

The parent function f(x) = x3 is transformed to g(x) = (x – 1)3 + 4. Identify the graph of g(x).

Dominik [7]

we have $f(x)=x^3$ which is a cubic function.

and $=(x-1)^3+4$ .

from f(x) and g(x) we know that both are cubic and g(x) has shrink of 1 and up by 4 units in x axis .

4 0

2 years ago

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