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ValentinkaMS [17]
3 years ago
6

Find the midpoint of A and B has coordinates (2,9) and B has coordinates (7,4)

Mathematics
1 answer:
Setler79 [48]3 years ago
7 0

Answer:

The midpoint is,

(4.5, 6.5)

Step-by-step explanation:

Here, we want to find the midpoint between the two points

mathematically, we use the midpoint formula here

We have this as;

m = (x2+ x1)/2, (y2+ty1)/2

where (x1,y1) = (2,9)

(x2,y2) = (7,4)

substituting these points, we have

m = (2+ 7)/2, (9 + 4)/2 = 9/2,13/2 = (4.5, 6.5)

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Questions in Image below. Please explain how you got your answers in depth please.
irakobra [83]

Step 1

Revenue (sometimes referred to as sales revenue) is the amount of gross income produced through sales of products or services. This, in the context of the question, means that the revenue generated from the sales of tickets is given by the function below. We are now required to find the price that tickets will be sold at in a day based on the function that will make the revenue to be equal to $0.

The revenue is given by the function;

\begin{gathered} f(p)=150p-5p^2 \\ f(p)\text{ is the revenue and should be equal to 0 according to the question.} \\ p=\text{ The price of tickets for the day for the revenue to be 0} \end{gathered}

To solve this problem or to find this price at which tickets will be solved to give us zero revenue, we must equate the given function for the revenue to 0 and find the value of p, the price of the tickets that make the function to be equal to 0.

For the theatre to make $0 in revenue, this means f(p)=0.

Therefore, we will equate f(p) to 0

Step 2

Equate f(p) to 0

\begin{gathered} 0=150p-5p^2 \\ p(150-5p)=0----(\text{factorize)} \\ p=0 \\ 0r \\ 150-5p=0 \\ 150=5p \\ \frac{5p}{5}=\frac{150}{5} \\ p=30 \\ p=0\text{ or 30} \end{gathered}

Therefore the revenue to be zero, the price of the ticket will be $0 or $30 but the question asked us how high the ticket price will be to get a revenue of 0. Both 0 and 30 gave us revenue of 0 but $30 is higher therefore, the answer will be $30.

Check;

\begin{gathered} 150p-p^2=0 \\ \text{If the price of tickets=0} \\ 150(0)-5(0^2)=0 \\ \text{If p=30} \\ 150(30)-5(30^2)=4500-4500=0 \end{gathered}

Both give us 0 revenue but $30 is higher and the right answer.

Step 3

The equation you can write for revenue of $700 is;

\begin{gathered} 700=150p-5p^2 \\ 5p^2-150p+700=0_{} \end{gathered}

6 0
1 year ago
Factorize (2u+3u)(u+v)-2u+3v​
Stolb23 [73]

Answer:

Step-by-step explanation:

(2u+3u)(u+v)-2u+3v

=2u(u+v)+3u(u+v)-2u+3v

=2u^2+2uv+3u^2+3uv-2u+3v

=5u^2+5uv-2u+3v

7 0
2 years ago
1 2 3 4 5 6 7 8 9 10 TIME REMAINING 54:32 Because the lid of a marker is wider than the marker itself, a set of markers can be p
tia_tia [17]

Answer:

10 Square Inches

Step-by-step explanation:

<u>Trapezoid</u>

Base =12 inches

Height =10 inches

Top side= 10 inches.

Area of a Trapezoid=\frac{1}{2}(a+b)h, $where a and b are the lengths of the base and top respectively$

=\frac{1}{2}(10+12)*10\\=5*22=110 \:Square\:Inches

Area of the Trapezoid=110 Square Inches

<u>Rectangle</u>

Base = 12 inches

Height =10 inches.

Area of a Rectangle=Base X Height

=12 X 10

=120 Square Inches

<u>Difference in Area between the two packages</u>

Difference=Area of Rectangle-Area of Trapezoid

=120-110

=10 Square Inches

5 0
3 years ago
Read 2 more answers
1/8 divided by 2/7=?
Sliva [168]
1/112 or 0.008929 hope that helps
7 0
3 years ago
Read 2 more answers
I need help with this one plis quickly !!!
shutvik [7]

Answer:

3

Step-by-step explanation:

Hard to see but pretty sure thats it

4 0
2 years ago
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