The circle C has equation x2 + y2 +4x - 2y - 11 = 0.
Find
i) The coordinates of the centre of C. [2]
ii) The radius of C. [2]
ii) The coordinates where the circle cuts the y axis, giving your answers in exact surds.

Answer:

b

Step-by-step explanation:

The 95 percent confidence interval for the mean time (in seconds) it takes students to complete this maze is: 39±1.96(8.83/√4).

Using this formula

Confidence interval=Mean ± z × Standard deviation√Sample size

Where:

Let plug in the formula

Confidence interval=39±1.96×8.83/√4

Confidence interval=39±8.65

Inconclusion the 95 percent confidence interval for the mean time (in seconds) it takes students to complete this maze is: 39±1.96(8.83/√4).

Learn more about confidence interval here:https://brainly.com/question/16974109

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Answer:

5 Batches

Step-by-step explanation:

[tex]\frac{15}{3} =5[/tex]

Answer:

5 batches of orange paint.

Step-by-step explanation:

Since we only have the amount of red paint Finley has, you have to divide 15 by 3, since we need 3 liters of red paint for 1 liter of orange paint. 15 divided by 3 equals 5, so Finley can only make 5 batches of orange paint when she has 15 liters of red paint.

Answer:

African American culture is correct !

Answer:

x = 2

y=2

Step-by-step explanation:

Answer:

Available Digits = 4 (1, 2, 3 , 4)

Step-by-step explanation:

Now, if the digits can be used only once, it is a case of permuting 4 things out of 4 things i.e. 4P4=24ways

Alternatively, the units place can be filled in 4 ways, tens place can be filled in 3 ways, hundreds place can be filled in 2 ways and thousands place in 1 way.

So, TOTAL=4×3×2×1=24

HOPE IT HELPS

Answer:

8.55 × 10^7

Step-by-step explanation:

7.9 × 10^7 + 6.5 + 10^6 =

= 7.9 × 10^7 + 0.65 × 10^7

= 8.55 × 10^7

Answer:

40,143.4 square inches

Step-by-step explanation:

c= 226.08

r= 113.04

area = Pi *r^2

Answer:

3 miles

Step-by-step explanation:

sorry I can't explain

Answer:

a.

Step-by-step explanation:

It says 13+, so it’s 13 more than.
Then it’s 1/2 *, so it’s half of whatever’s next.

Next, it’s 6/2, so it’s a quotient because it’s divided.
Last, it says +6, so it’s 6 more than the last term.
Finally, 13 more than half of 6 more than the quotient of 6 and 2.

Advice: write out each step in words before you put it together.

Answer:

13 more than half of 6 more than the quotient of 6 and 2

Step-by-step explanation:

13 more than half of 6 more than the quotient of 6 and 2

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

mark brainlist

for me

The values needed for completing the function to match with its graph is [tex]f(x) = -(x+4)(x-3)[/tex]

There are many tools we can use to find the information of the relation which was used to form the graph.

The graph of the considered problem which is missing is attached below.

Let the completed function is

[tex]f(x) = a(x-b)(x-c)\\[/tex]

Then the roots of the function would be the values of x at which the function becomes 0, and they are [tex]x = b[/tex] and [tex]x = c[/tex]

Since the graph crosses the x axis at -4 and 3, therefore, as the points on x axis are the roots of the functions of variable x, therefore, we get:

b and c to be -4 and 3, therefore, the function is

[tex]f(x) = a(x-(-4))(x-3) = a(x+4)(x-3)[/tex]

Since the function crosses the y axis at y = 12, and since on y axis, the value of x is 0, therefore, putting x = 0, and equating the output to 12, we get:

[tex]f(x) = a(x+4)(x-3)\\12 = a \times 4 \times -3\\12 = a \times -12\\\\\text{Dividing both the sides by -12}\\\\\dfrac{12}{-12} = a\\\\a = -1[/tex]

Therefore, the completed function would look like:

[tex]f(x) = -(x+4)(x-3)[/tex]

Thus, the values needed for completing the function to match with its graph is [tex]f(x) = -(x+4)(x-3)[/tex]

Learn more about roots of a polynomial function here:

https://brainly.com/question/19508384

Answer:

answer is 10 ^ 10

Step-by-step explanation:

7.296 × 10² / 9.6 × 10^ -9

= 0.76 × 10^11

= 7.6 × 10^10

Answer:

[tex]x < -3[/tex]

Step-by-step explanation:

Step one: since both sides are multiple of 8, we can divide both sides by 8 to make calculations more easy:

[tex]8-x > 11[/tex]

Step two: add x to both sides, and at the same time take 11.

[tex]8-11 > x[/tex]

Step three: read right to left

[tex]x < -3[/tex]

Answer:

x = 10°

Step-by-step explanation:

ZA + ZB = 90°

50° + 4x = 90°

4x = 90° - 50°

4x = 40°

x = 10°

Answer:

34

Step-by-step i guessed and i got it right i dont like

math homework

Answer:

48 boxes

Explanation:

25% → 12 boxes

1% →  [tex]\sf \frac{12}{25}[/tex] boxes

100% → [tex]\sf \frac{12}{25}*100[/tex]  boxes

100% → 12 * 4

100% → 48 boxes

Answer:

3/5

Step-by-step explanation:

[tex] \frac{ \frac{3(x + h)}{5} + \frac{2}{5} - \frac{3x + 2}{5} }{h} [/tex]

[tex] \frac{3x + 3h + 2 - 3x - 2 }{5h} [/tex]

[tex] \frac{3h}{5h} [/tex]

[tex] \frac{3}{5} [/tex]

Answer:

Step-by-step explanation:

Answer:

"A system of linear equations has one solution when the graphs intersect at a point. No solution. A system of linear equations has no solution when the graphs are parallel."-khan acadamy

Step-by-step explanation:

Answer:

angle V equals 103 degree.

Step-by-step explanation:

Based on the supplementary rule for a line is 180 degree.

We have to minus 147 from 180 to find the missing angle X that's inside the triangle.

180-147=33

For each triangle, it'll have a total of 180 degree when the angles are added together.

40+33+___=180

103

Answer:

aint no way :)))

Step-by-step explanation:

Answer:

eyes:10 each

nose:7.5

mouth:25.5

eyebrows:2 each

ears:10.5

face:280

Step-by-step explanation:

just use the formulas

pls brainleist i want to level up

Answer:

45

Step-by-step explanation:

9x5

=45

Answer:

45

Step-by-step explanation:

To be divisible by five, the number must end with a zero or a five, and forty-five is the only number that meets these conditions. Technically, all the numbers are divisible by five, but 83, 94, and 99 divided by five would equal a whole number with a decimal, meaning the only option that equals a whole number is forty-five (45).

Hope this helped somewhat! :)

Answer:

y + x + 90°=180°( sum of triangle=180°/Angeles of a triangle are supplementary)

y + x=180°-90°

there for x=y (Given by the theorem) OR two opposite angles of a triangle are equally

x+x= 90°/y+y=90° Note: Since y=x then sub y by x or y instead of the same equition (y=x)

x+x/y+y=90°

2x=90°

x=45°

or

x+y=90°

45+y=90°

y=90°-45°

y=45°

Answer:

brand b

Step-by-step explanation:

to find the unit price you have to divid the # of items but the price

so for brand a you would do

1.54/36 which equals 0.04

and for brand b you would do

1.66/48 which equals 0.03

brand b is cheaper by 0.01

Answer:

m∠B= 60°

Step-by-step explanation:

The given triangle has all sides equal, so it's an equilateral triangle.

Equilateral triangle is always equal to 60°

Therefore, m∠B= 60°.

~

Answer:

126 minutes or 2 hours, 6 minutes

Step-by-step explanation:

D=TR

25 miles= r times 35 minutes

r = 25 miles divided by 35 minutes = 5/7 miles/minute

90 miles = (5/7 miles/minute) times t

t=90 miles * (7/5 minutes/mile) = 126 minutes or 2 hours, 6 minutes