Anders flips two coins. Explain why the probability of two heads is 1/4

what is the coordinate of the vertex for the following parabola:

-8 ( x - 5 ) = ( y + 1 ) ² (5, -1)

what is the coordinate of the focus for the following parabola:

-8 ( x - 5 ) = ( y + 1 ) ² (3, -1)

The vertex of the equation of a parabola [tex]- 8 (x - 5) = (y + 1)^2[/tex] by compared with the standard form of the equation of a parabola [tex]x = a (y - k)^2 + h[/tex] is,

⇒ (h, k) = (5, - 1)

Where, [tex](h, k)[/tex] is the vertex of the parabola.

We have to give that,

The equation of a parabola is,

[tex]- 8 (x - 5) = (y + 1)^2[/tex]

The standard form of the equation of a parabola is,

[tex]x = a (y - k)^2 + h[/tex]

Where, [tex](h, k)[/tex] is the vertex of the parabola.

Here, The equation of a parabola is,

[tex]- 8 (x - 5) = (y + 1)^2[/tex]

It can be written as,

[tex](x - 5) = \frac{(y + 1)^2}{-8}[/tex]

Add 5 on both sides,

[tex]x = \frac{(y + 1)^2}{-8} + 5[/tex]

Now, compare with the standard form of the equation of a parabola,

h = 5

k = - 1

Therefore, the vertex of the parabola is, (5, - 1).

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Answer:

39.19 yards^2

25.15 yards

Step-by-step explanation:

To determine the squares square yards of carpet needed, we have to determine the area of the room

The room is shaped like a rectangle

area of a rectangle = length x breadth

5.7 x 6 7/8

To multiply, convert 6 7/8 to a  decimal

to do this, divide 7 by 8. Add the value gotten to 6

5.7 x 6.875 =39.19 yards^2

To determine the yards needed for the border, calculate the perimeter of the room

Perimeter = 2 x (length + breadth)

2 x(5.7 + 6.875) = 25.15 yards

Answer:

h = -7x - 11

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

Given

4(15 - 7) ← apply the distributive law

= 15(4) - 7(4) → H

946

Hope this helps o(*^▽^*)┛

Answer:

It's a rectangle, but not a rhombus (or square).

Step-by-step explanation:

Let's see the vectors of each next vertex:

[tex]Q - P = (4, 5) - (-5, 2) = (9, 3)\\R - Q = (6, -1) - (4, 5) = (2, -6)\\S - R = (-3, -4) - (6, -1) = (-9, -3)\\P - S = (-5, 2) - (-3, -4) = (-2, 6)\\[/tex]

Firstly, we can notice that it's a parallelogram - because the Q-P side is parallel to the S - R side (if the x:y ratios are the same, the sides are parallel).

A rhombus needs the sides to be of the same length. But the length of a (x, y) vector is [tex]\sqrt{x^2 + y^2}[/tex] and [tex]\sqrt{9^2 + 3^2} > \sqrt{2^2 + (-6)^2}[/tex], we don't even have to compute it exactly. If it's not a rhombus, it's also not a square (every square is a rhombus).

The last thing left is to know if it's a rectangle - for it to be a rectangle, we need to check if the vectors are perpendicular.

We can compute the dot product of the vectors - perpendicular vectors always have a dot product equal to zero. The dot product of two vectors [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is equal to [tex]x_1x_2 + y_1y_2[/tex].

[tex](9, 3) \cdot (2, -6) = 9\cdot 2 + 3\cdot(-6) = 18 - 18 = 0[/tex]

So the sides are perpendicular, and as such - the figure is a rectangle.

Answer:

Well if your on chrome book sign out and select add person and make your new email and password and you have a new account.

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

Answer:

Account for what, brain ly

Step-by-step explanation:

step 1: Go to sign up

step 2: create a email

step 3: create password

Answer:

[tex]\boxed {\boxed {\sf D. \ x=20}}[/tex]

Step-by-step explanation:

If line m and line r are parallel, the two angles must be congruent, because they are alternate interior angles. Notice how the 2 lines and the transversal form a backwards "Z" and the angles are in the inner corners.

So, if the angles are congruent, we can set them equal to each other.

[tex]7x-115=3x-35[/tex]  

Now, solve for x by isolating the variable. First, move all the constants to one side and the terms with variables to another.

115 is being subtracted and the inverse of subtraction is addition. Add 115 to both sides.

[tex]7x-115+115=3x-35+115\\7x= 3x+(-35+115) \\7x=3x+80[/tex]

3x is being added and the inverse of addition is subtraction. Subtract 3x from both sides.

[tex]7x-3x=3x-3x+80 \\4x=80[/tex]

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

[tex]4x/4=80/4\\x=20[/tex]

If the lines are parallel, then x=20 so the angles are congruent.

Answer:

120

Step-by-step explanation:

Answer: D. 21

Step-by-step explanation: 4/10=X/15 then X=6. Plug that in which is 6+15=21

Answer:

- 8

Step-by-step explanation:

- 8 × 2 - (- 8)

- 8 × 2 + 8

- 16 + 8

- 8

Answer:

-8 i think

Step-by-step explanation:

-8 * 2 + 8

-16 + 8

-8

7: Graph A

8: Graph B

9: Graph C

therefore: Graph A has infinitely MANY solutions; Graph B has ONE solution; Graph C has NO solution

also!! khan academy has a lesson that talks about this and is super helpful: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:number-of-solutions-to-systems-of-equations/a/number-of-solutions-to-system-of-equations-review

funny they were already in order :) also could you please give me brainliest? all my brainliest answers disappeared :/

Answer:

Step-by-step explanation:

If we look at the picture,we can see that n<22

So the correct answer will be 22

Answer:

its 3, bae

Step-by-step explanation:

trust me on this one

Answer:

the median is 5 the mode is 5 and 2 the mean is 6.25 and the range is 15

Step-by-step explanation:

the mode is 5 and 2 because they both occur the most often

The median is 5 because even though the amount of numbers is even and there is no exact middle the two middle numbers are both 5 and 5+5 equals 10 divided by 2 equals 5

the mean is 6.25 because all numbers added together 75 divided by the amount of numbers 12 equals 6.25

the range is 15 because the range is the diff between the highest and lowest value

Answer:

60

Step-by-step explanation:

210÷3.5=60

3.5x60=210

Hope this helps!

: )

Answer:

11 students  :)

Step-by-step explanation:

That should be correct if I'm wrong just ignore this.

The number of students who took more than 45 minutes to complete their homework is 11.

A stem-and-leaf display, also known as a stem-and-leaf plot, is a technique used to visualize the shape of distribution by displaying quantitative data in a graphical fashion, similar to a histogram.

For the given stemplot the number of students who took more than 45 minutes to complete their homework can be calculated by counting the number of observations that are more than 45.

Therefore, the observations that are more than 45 are 48, 49, 51, 53, 53, 53, 53, 55, 60, 60, and 60.

Hence, the number of students who took more than 45 minutes to complete their homework is 11.

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Answer:

11

Step-by-step explanation:

H =V/(LxW)/3

H = 297/(9x9)/3

H = 297/(81)/3

H = 297/27

H = 11

Therefore, the height of the pyramid is 11ft square

Answer: x=4

Step-by-step explanation:

Since this is a rectangle we already know that all the angles are 90, so we can do this:

46+10x+4=90

50+10x=90

10x=40

x=4

Answer:

Area = 88 units squared

Perimeter = 40 units

Step-by-step explanation:

The formula for the Area of the parallelogram is base (11) times height (8)

The perimeter is just adding all the outsides together (11 + 11 + 9 + 9)

Answer:

I think it is 5.6e+12

Step-by-step explanation:

Answer:

3 and -3

Step-by-step explanation:

+3 -3 =0

sum mean adding

Answer:

9103.71828183

Step-by-step explanation:

9103.71828183=200+5-4+e+9000+100-200

Answer:

Explanation:

since this triangle is a right-angled triangle and one its angles equals 45° then it's an isosceles right triangle which means that the side opposite 45° (the side to the left) is equal to 13 too.

so according to pythagoras theorem c = √(a²+b²)

x =√(13²+13²)

x = √(169+169)

x = √338

x ≈ 18.38

note: in the question it's mentioned to find y! and I believe it is just an error! it's about to find x and that's more resonable!

Answer:

The median is 11.

Step-by-step explanation:

Hope this helps.