Which equation represents a hyperbola with a center at (0, 0), a vertex at (0, 60), and a focus at (0, −65)?

Answers

Answer 1
Answer:

Answer:

d

Step-by-step explanation:

on edge

Answer 2
Answer:

Answer:

D!!

Step-by-step explanation:

Got it right


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An equilateral triangle has an altitude length of 27 feet. Determined the length of a side of the triangle

Answers


27 radical 2 feet because its a special 30-60-90 triangle

Find the 8th term of geometric sequence {a_{n}, n = 1, 2, 3, . . .} with common ratio r = 0.5 and first term a_{1} = 2.

Answers

a_n=a_1\cdot q^(n-`1)\n\na_1=2;\ q=0.5=(1)/(2)\n\n\na_8=a_1\cdot q^(8-1)=a_1\cdot q^7\n\na_8=2\cdot\left((1)/(2)\right)^7=2\cdot(1)/(2^7)=2\cdot(1)/(128)=(1)/(64)\n\n\nAnswer:a_8=(1)/(64)

The formula F = ma shows the relationship between force, mass, and acceleration. Solve this formula for a.

Answers

Answer:

Solution is a=(F)/(m)

Step-by-step explanation:

We have Force, F = Mass x Acceleration.

That is        F = m x a

Dividing both sides by (1)/(m)

We will get

      (1)/(m)* F=(1)/(m)* m* a\n\n(F)/(m)=(m* a)/(m)\n\n(F)/(m)=(m)/(m)* a\n\na=(F)/(m)

Solution is a=(F)/(m)

The formula you would use to find acceleration would be A= f/m

Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each point value are on the test.

Answers

x - the number of 5 points worth problems
y - the number of 2 points worth problems

The test has 29 problems.
x+y=29

The test is worth 100 points.
5x+2y=100

The system of equations:
x+y=29 \n5x+2y=100

The solution:
x+y=29 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |* (-2) \n5x+2y=100 \n \n-2x-2y=-58 \n\underline{5x+2y=100 \ \ \ \ \ } \n3x=42 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 3 \nx=14 \n \nx+y=29 \n14+y=29 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |-14 \ny=15

There are 14 problems worth 5 points and 15 problems worth 2 points.

Final answer:

The system of equations to find the number of 5-point and 2-point problems on the math test is x + y = 29 and 5x + 2y = 100, where x and y are the numbers of 5-point and 2-point problems respectively.

Explanation:

The question posed involves setting up a system of equations to determine how many of each type of problem are on a math test. There are two types of problems: those worth 5 points and those worth 2 points, with the test having a total of 29 problems and worth 100 points in all. To solve this, we can define two variables, let's say x represents the number of problems worth 5 points and y represents the number of problems worth 2 points.



We can set up the following system of equations:




  1.  
  2. x + y = 29 (This represents the total number of problems.)

  3.  
  4. 5x + 2y = 100 (This represents the total points for the test.)



Solving this system will give the number of 5-point problems and 2-point problems on the test.

Learn more about System of Equations here:

brainly.com/question/21620502

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What is X divided by 2?

Answers

Algebraically that would be expressed as (x)/(2)

Find the sum of the first 8 terms of the sequence. Show all work for full credit.1, -3, -7, -11, ...

Answers

1, -3, -7, -11, ...\ \ \ \ \rightarrow\ \ \ the\ arithmetic\ sequence\n\nthe\ difference\ of\ the\ sequence\ is\ \ \ \ d=-3-1=-4\n\nthe\ sum:\ \ \ \ S_n= \frac{\big{2\cdot a_1+(n-1)\cdot d}}{\big{2}} \cdot n\n\n\nS_8= \frac{\big{2\cdot1+(8-1)\cdot(-4)}}{\big{2}} \cdot8=(2-28)\cdot4=-26\cdot4=-104\n\nAns.\ The\ sum\ is\ -104.


1 - 4 = -3. -3 - 4 = -11.

subtract by -4 until you have 8 numbers.

then add al the numbers together.

1+-3+-7+-11+-15+-19+-23+-27 = -104