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Eddi Din [679]
4 years ago
13

A circle has the equation 2x2+12x+2y2−16y−150=0.

Mathematics
1 answer:
iris [78.8K]4 years ago
4 0
Using the formula, write in standard form (x+3)^2+(y-4)^2=100
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How to factor the algebraic expression 24a + 28
bonufazy [111]
So use undistributive properyt]
ab+ac=a(b+c)
so factor 24a dadn 28 to find 'a' the common factor
24=2 times 2 times 2 times 3 tiems a
28=2 times 2 times 7
common one is 2 itmes 2=4
a=4
4(2 times3 times a)+4(7)=4(6a)+4(7)=4(6a+7)

7 0
4 years ago
Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro
Elanso [62]

Answer:

<em>Choose the first alternative</em>

\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}

Step-by-step explanation:

<u>Probabilities</u>

The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions (N_s) and the total number of possible choices (N_t), i.e.

\displaystyle P=\frac{N_s}{N_t}

There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total

We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.

To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5

_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C} \text{ ways to do it}

The total number of possible choices is

_{2}^{20}\textrm{C} \text{ ways to do it}

The probability is then

\boxed{\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}}

Choose the first alternative

7 0
3 years ago
Read 2 more answers
Find the slope of this line
Airida [17]

Answer:

0

Step-by-step explanation:

On a graph, any line that is horizontal has a slope of zero. Try any points and and plug them into the slope formula equation

(Y2-Y1/X2-X1).

The answer will always be zero.

4 0
2 years ago
Fatima wants to find the value of sine theta, given Cotangent theta = four-sevenths. Which identity would be best for Fatima to
marysya [2.9K]

Answer: D, or 1+cotangent squared theta= cosecant squared theta

Step-by-step explanation: Took the test it is right

3 0
4 years ago
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Match each description to its example.
kvv77 [185]

Answer:

if we have the point (x, y), a reflection over the x-axis give us the point (x, -y)

if we have the point (x, y), a reflection over the y-axis give us the point (-x, y)

if we have the point (x, y), a reflection across both axes give us the point (-x, -y)

1. (2, -3) → (-2, -3) -------  reflection across the y-axis

2. (2, -3) → (-3, 2) -------- not a reflection

3. (2, -3) → (-2, 3) ------ reflection across both axes

4.  (2, -3) → (2, 3)  -----   reflection across the x-axis

6 0
4 years ago
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