Find the value of two numbers if their sum is 124 and their difference is 16

Answer:

the answer is d (x+4)^2/9 - (y-1)^2/25

Step-by-step explanation:

its correct on edge

The standard form of the given equation is [tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Begin by grouping the x terms together and the y terms together, and getting the constant on the other side of the equals sign:

25x² +200x - 9y² +18y = -166

Now we need to complete the square on the x terms and the y terms. Do this by first factoring out the leading coefficient from each, the 25 from the x's and the 9 from the y's:

25(x² +8x) - 9 (y² +2y) = -166

Now take half the linear term in each set of parenthesis, square it, and add it to both sides, remembering the multiplier outside (the 25 and the 9). Our x linear term is 8. Half of 8 is 4, and 4 squared is 16, so we add a 16 into the parenthesis with the x's; our y linear term is 2. Half of 2 is 1 and 1 squared is 1, so we add a 1 into the parenthesis with the y's:

25(x² +8x + 16)-9(y²+2y +1) = -166+400-9

Note the 400 and -9 on the right side now. 25 times 16 is 400; we didn't just add in a 16, we have to multiply the scalar number into it before we know what we really added in. And the -9 comes from multiplying the -9 times 1.

The reason we do this is to get the perfect square binomials on the left that we created while completing the square:

25(x+4)² - 9 (y+1)²= 225

Now, finally, we will divide both sides by 225 to get this conic into the standard form:

[tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]

This is a hyperbola with a horizontal transverse axis and a center of (-4, -1). The reason we know it's not an ellipse is because an ellipse will always have a + sign separating the x-squared from the y-squared whereas a hyperbola always has a - sign separating them. And we also know it's not a circle because the values of the leading coefficients weren't the same.

Therefore the standard form of the given equation is[tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]

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Answer:6.5

Step-by-step explanation:trust me

Answer:

3

Step-by-step explanation:

Answer:

The relationship is “hours multiplied by  

3

equals the number of dogs.”

Step-by-step explanation:

Answer:

A or B , whether it is dotted or straight line dunno

Answer:

5440

Step-by-step explanation:

85 × 2 × 2 × 2 × 2 × 2 × 2 = 5440

Answer:

5,440

Step-by-step explanation:

85+85

170+170

340+340

680+680

1360+1360

2720+2720

double it 6 times

Answer:

3 1/3 is your answer.

Step-by-step explanation:

Rewriting equation:

4 + 5/6 - 1 - 1/2

4 - 1 = 3

5/6 - 1/2 = ?

Find the LCD of 5/6 and 1/2 and rewrite to solve.

5/6 - 3/6 = 2/6

2/6 = 1/3

3 + 1/3 = 3 1/3

Whole number: 3

numerator: 1

denominator: 3

Answer:

3 1/3 is the Answer to the problem

Answer:

do 62.31/3 which is 20.77 so 1 shirt cost 20.77

now do 20.77+3.66 which is 24.43

so the answer is C. $24.43

Answer:

1/2 I think

Step-by-step explanation:

9 3/8 becomes 8 11/8- 8 7/8= 4/8= 1/2

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]9\frac{3}{8} -8\frac{7}{8}[/tex]

Let's convert these to improper. To do this, we will multiply the denominator by the whole number and then add the numerator. The denominator will remain the same. We are just changing the numerator.[tex]9\frac{3}{8} =\frac{(8*9)+3}{8} =\frac{72+3}{8}= \frac{75}{8}\\8\frac{7}{8} =\frac{(8*8)+7}{8} =\frac{64+7}{8}= \frac{71}{8}[/tex]

Let's subtract:

[tex]\frac{75}{8} -\frac{71}{8} \\\\\frac{4}{8}[/tex]

[tex]\frac{4}{8}[/tex] can be reduced to [tex]\frac{1}{2}[/tex]

Answer:

Check pdf

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

brainliest pleasee?

Answer

The measurement of the missing sides are 4 cm on each side

Step-by-step explanation:

multiply 5 times 2 (5x2=10) take away the 10 and 18 and the answer for it is the answer for the whole thing.

Answer:

Need picture please

Step-by-step explanation:

Rewrite the limand as

(1 - sin(x)) / cot²(x) = (1 - sin(x)) / (cos²(x) / sin²(x))

… = ((1 - sin(x)) sin²(x)) / cos²(x)

Recall the Pythagorean identity,

sin²(x) + cos²(x) = 1

Then

(1 - sin(x)) / cot²(x) = ((1 - sin(x)) sin²(x)) / (1 - sin²(x))

Factorize the denominator; it's a difference of squares, so

1 - sin²(x) = (1 - sin(x)) (1 + sin(x))

Cancel the common factor of 1 - sin(x) in the numerator and denominator:

(1 - sin(x)) / cot²(x) = sin²(x) / (1 + sin(x))

Now the limand is continuous at x = π/2, so

[tex]\displaystyle\lim_{x\to\frac\pi2}\frac{1-\sin(x)}{\cot^2(x)}=\lim_{x\to\frac\pi2}\frac{\sin^2(x)}{1+\sin(x)}=\frac{\sin^2\left(\frac\pi2\right)}{1+\sin\left(\frac\pi2\right)}=\boxed{\frac12}[/tex]

Answer:

h=3 in

Step-by-step explanation:

PLZ GIVE ME BRANELIST

Answer:

B) 120 degrees

Step-by-step explanation:

The two triangles are the same, so first find the measure of angle B.

To do this first solve for angles A and C. Solve for A first: 4x or 4(5), which is 20 degrees. Now solve for C: 8x or 8(5), which is 40 degrees. Add 40 + 20 degrees to get 60 degrees total of those two angles.

A triangle has 180 total degrees, so to solve for the measure of Angle B, subtract 180 - 60 to get 120 degrees.

Since the two triangles are the same, Angle D is the measure as Angle B.

Hope it helps!

Answer:

I believe this question should be one solution

Step-by-step explanation:

Hope this Helped

Step-by-step explanation:

the answer will be 3/5 hope it helps

Answer:

3/5

Step-by-step explanation:

It is like addition, 1 + 1 + 1 which equals to 3.

Answer:

Step-by-step explanation:

b

0.6p is the expression represents the price of the suitcase with the discount

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Answer:

9/20

Step-by-step explanation:

You have to multiply both numerators and both denomenators!

3/4 x 3/5 = 9/20

3 x 3 = 9

4 x 5 = 20

therefore, your answer is 9/20!

Hope this helps, Have a nice day!

Answer: 3y + 5 cm

Step-by-step explanation: The perimeter of a triangle

is just the distance around the outside of the figure.

So just add up all the sides.

So we have y + y + y + 5 and we get 3y + 5.

Step-by-step explanation:

what is the question asking

Answer: 15 inches

Step-by-step explanation:if 6 units is 10 cm than half of that is 5 so add those together and BOOMM 15 ur welcome

Answer:

D.288

Step-by-step explanation:

6×4×12

Multiply 6 and 4 to get 24.

24×12

Multiply 24 and 12 to get 288.

288

Answer:

i need to know what the answer is to solve for m

Step-by-step explanation:

Answer:

18 units over 210 units of time

Step-by-step explanation:

the function reaches its limit at 116 and starts at 0 at -94

|-94|+|116|=210