All categories

3 years ago

Please I need help!!!

Mathematics

1 answer:

Marina CMI [18]3 years ago

3 0

Isolate y in the first equation.

$2y = 10x$

$y = 5x$

--------------------------

Then plug this into the second equation

$\frac{x^2}{64}-\frac{y^2}{36} = 1$

$\frac{x^2}{64}-\frac{(y)^2}{36} = 1$

$\frac{x^2}{64}-\frac{(5x)^2}{36} = 1$

$\frac{x^2}{64}-\frac{25x^2}{36} = 1$

--------------------------

So the final answer is choice A

You might be interested in

4x2 + 4x - 1, evaluate and fully simplify each of the - For the function f(0) following f(s + h) f(x + h) - f(5) h 10

Andrew [12]

Given the function f(x);

$f(x)=-4x^2+4x-1$

Evaluating the function f(x+h);

$\begin{gathered} f(x+h)=-4(x+h)^2+4(x+h)-1 \\ f(x+h)=-4(x^2+2xh+h^2)^{}+4(x+h)-1 \\ f(x+h)=-4x^2-4h^2-8xh^{}+4x+4h-1 \end{gathered}$

So;

$f(x+h)=-4x^2-4h^2-8xh^{}+4x+4h-1$

Evaluating the second function;

$\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1-(-4x^2+4x-1)}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1+4x^2-4x+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2+4x^2-4h^2-8xh^{}+4x-4x+4h-1+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h} \end{gathered}$

simplifying further;

$\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h}=-4h-8x+4 \\ \frac{f(x+h)-f(x)}{h}=-4h-8x+4 \end{gathered}$

Therefore, we have;

$undefined$

7 0

1 year ago

Among 64 students, 28 of them like Science, 41 like Mathematics and 20 like

den301095 [7]

Step-by-step explanation:

calculate

64 – 28 – 41 – 20 + 24 + 12 + 10

5 0

3 years ago

Read 2 more answers

Find the value of x

KATRIN_1 [288]

Answer:

Step-by-step explanation:

Here we have the length of the hypotenuse (16) and that of the vertical leg (11). The cosine function inputs this data:

adjacent side 11

sin x = ----------------------- = ---------------- = 0.6875

hypotenuse 16

We find x using the arccos function: arccos 0.6875 = 0.81 radians or

46.57 degrees

3 0

4 years ago

Mito bakes biscuits. he uses 1/4 cup of flour to coat the countertop and the rolling pin. He also uses 2 1/2 cups of flour for e

Gennadij [26K]

Answer:

Mito can bake 3 batches of cookies.

The amount of flour used to bake cookies = Total flour used - Amount of flour used to coven counter top.

Step-by-step explanation:

Here, the amount of flour used to coat counter top and rolling pin = 1/4 cup

1/4 cup = 0.25 cup

Now, the amount of cup used to bake 1 batch of cookies = 2 1/2 cup

Now, 2 1/2 cup = ( 2 + 1/2 )cup = 2 + 0.5 = 2.5 cup

So, 1 batch of cookies = 2.5 cup

Total amount of flour used = 7 3/4 cups

Now, 7 3/4 cup = (7 + 3/4) cup = 7 + 0.75 = 7.75 cups

The actual amount of flour used to bake cookies

= Total flour used - Amount of flour used to coven counter top.

= 7.75 cup - 0.25 cup = 7.5 cup

Now, the number of batches baked with 7.5 cup $= \frac{\textrm{Total amount of flour used in baking}}{\textrm{Flour used in 1 batch}}$

$= \frac{7.5}{2.5} = 3$

or, the number of batches baked with 7.5 cup is 3 batches.

Hence, Mito can bake 3 batches of cookies.

3 0

4 years ago

The formula for the volume of a cylinder with a height of 5 units is where r is the radius of the cylinder.

AveGali [126]

Maybe the answer is 5 , then you see the fomula of volume of cylinder with height of 5 , the r is radius of cylinder , so maybe take 5 multiple r so maybe answer is like that

6 0

3 years ago