i need help with this question

The second point on the line k,m,n,l is where the midpoint, m, is found by adding kl to the equation.

A segment's midway is the point on a reference line where two congruent segments meet. The segment's midpoint seems to be the point located halfway between the ends of two segments.

The midpoint is the point on the section that lies halfway between the endpoints.

A line segment's midpoint can be calculated by using two endpoints (x1, y1) and (b, c) (x2, y2).

Add all of the x coordinates together and divide by two to determine the x coordinate of the midpoint.

Add all of the y-coordinates together and divide by two to get the y value of the midway.

It is critical to understand that a midpoint is indeed the midpoint of a line segment.

m = ((x + X)/2,(y + Y)/2) then determines the midpoint m.

We must demonstrate that the distance between m and l is equal to the distance between m and k and that this value is half the distance from k to l to show that m is, in fact, the midpoint of the horizontal line kl.

To know more about midpoint of a segment visit:

https://brainly.com/question/4747771

#SPJ4

point m is the midpoint of segment kl. point n is the midpoint of segment ml. a line with the points of k, l, m, and n, in which point m is the midpoint?

The equation representing the inequality is 2·x² + 16·x + 32 ≥ 254

The width of the photo on the cake is x.

The dimensional relationship mentioned between the dimensions of the cake & the photo on the cake mentioned in the question are:

Width of cake = Width of photo + 4 inches

i.e., W = x + 4

And, Length of the Cake is twice the Width of the cake

i.e., L = 2*W

Also, It is mentioned that the Area of the Cake is 254 sq inches.

We know Formula to calculate the Area of a rectangle is :

          =>   Area = Length * Width

          =>   254  ≤ 2*W * (x+4)     =>   254 ≤ 2(x+4)*(x +4)

          =>   2·x² + 16·x + 32 ≥ 254

Hence, The inequality representing this case is 2·x² + 16·x + 32 ≥ 254

To know more about Linear Inequalities, Click here :

https://brainly.com/question/11897796

#SPJ4  

Complete the square to write

ax² + bx + c = a (x + b/(2a))² - (b² - 4ac)/(4a)

The quadratic has a double root at x = -b/(2a) if the constant term (b² - 4ac)/(4a) vanishes, which happens if b² - 4ac = 0.

Let A, B, and C be random variables representing the value of the first, second, and third roll of the die. They are independent and identically distributed with PMF

Pr [X = x] = 1/6

if x ∈ {1, 2, 3, 4, 5, 6}, and 0 otherwise.

We want to find

Pr [B² - 4AC = 0]

Note that

B² - 4AC = 0   ⇒   B² = 4AC   ⇒ (B/2)² = AC

which tells us that B must be even, and also that AC is a perfect square. Then there are 5 possible outcomes that satisfy the conditions:

• If B = 2, then AC = 1   ⇒   A = C = 1

• If B = 4, then AC = 4   ⇒   A = 1, C = 4 or A = C = 2 or A = 4, C = 1

• If B = 6, then AC = 9   ⇒   A = C = 3

and there are 6³ = 216 total possible outcomes in the sample space. So,

Pr [B² - 4AC = 0] = 5/216

Answer:

52.948 m²

Step-by-step explanation:

→ State the formula for the area

length × width

→ Substitute in the numbers

8.68 × 6.1 = 52.948 m²

Answer:

[tex] - 26 \sqrt{10} [/tex]

Step-by-step explanation:

Simplify.

[tex] \rightarrow \sqrt{40} \: \: \: \: \: \: \: \: \\ = \sqrt{4 \times 10} \: \: \: \\ = \sqrt{4} \times \sqrt{10} \\ = 2 \times \sqrt{10} \: \: \: \: \\ = 2 \sqrt{10} \: \: \: \: \: \: \: \: \: [/tex]

[tex] \rightarrow \sqrt{160} \\ = \sqrt{16 \times 10} \: \: \: \\ = \sqrt{16} \times \sqrt{10} \\ = 4 \sqrt{10} \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Let us solve the given expression now.

[tex] - \sqrt{40} - 6 \sqrt{160} \\ - 2 \sqrt{10} - 6 \times 4 \sqrt{10} \\ - 2 \sqrt{10} - 24 \sqrt{10} \\ - 26 \sqrt{10} [/tex]

Answer:

x = 36

Step-by-step explanation:

3/4 a number b divided by 5 is 15b/4

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction).

3/4 a number b:

=3b/4

Divided by 5:

=3b/4/5

We have to multiply numerator with the dominator by 5 to remove the double fraction:

=3b*5/4

=15b/4

3/4 a number b divided by 5 is 15b/4

Learn more about fraction here

https://brainly.com/question/1622425

#SPJ9

He made the mistake on line 1.

2x^2 - 8x + 5....move the 5 to the other side

2x^2 - 8x = -5....now divide by 2

x^2 - 4x = -5/2

x^2 - 4x + 4 = -5/2 + 4

(x - 2)^2 = -5/2 + 8/2

(x - 2)^2 = 3/2

x - 2 = (+-)sqrt 3/2

x = 2 + sqrt 3/2 or x = 2 - sqrt 3/2

He made mistake on line 1.

Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake. f(x) = 2x2 − 8x + 5. Line 1: f(x) = 2(x^2 − 8x) + 5 Line 2: f(x) = 2(x^2 − 8x + 16) + 5 − 32 Line 3: f(x) = 2(x − 4)^2 − 27

To learn more about completing the square method from given link

https://brainly.com/question/1566484

#SPJ4

Step-by-step explanation:

first add all the n together

3n and 4n

add those together too

7n

now add 2+4

6 now

7n\-7n =6/-7n = -1n

The graphs that could be functions from the graphs shown in the question are A and E.

A function is a mathematical rule. We know that a graph is a plot of data on the cartesian coordinates. The cartesian coordinates are x and y. The x axis is the vertical axis while the y axis is the horizontal axis.

Now we can see that there are bout six plots and we need to determine which of the plots does correspond to a function. We shall now look over the graphs to see how they correlate with functions.

It is clear that the graphs that could be functions from the graphs shown in the question are A and E.

Learn more about graph:https://brainly.com/question/17267403

#SPJ1

The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are

So, the direction angles are

Given a vector r = xi + yj + zk where

The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are

So, their direction angles are

As an example, let r = 3i + 4j + 5k

So, r = √(x² + y² + z²)

= √(3² + 4² + 5²)

= √(9 + 16 + 25)

= √50

= 5√2

The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are

So, the direction angles are

Learn more about direction cosine here:

https://brainly.com/question/27228226

#SPJ4

Answer:

x = 7

y = 3

Step-by-step explanation:

Because the opposite side, Line segment QR, is 11. So, you need to find a number that when multiplied by 2 and then subtracted by 3 is equal to 11.

First, I just guessed, that 7 times 2 is 14, and then minus 3 is equal to 11

Here is how I worked it out:

2x-3=11

2x=14

x=7

8y+5=6y+11

2y=6

y=3

The value of the variable x and y will be 7 and 3, respectively.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The rectangle PQRS is shown.

From the rectangle PQRS, the side PQ and RS are congruent. And the side PS and QR are also congruent.

PQ = SR

6y + 11 = 8y + 5

2y = 6

y = 3

PS = QR

2x - 3 = 11

2x = 14

x = 7

The value of the variable x and y will be 7 and 3, respectively.

More about the rectangle link is given below.

https://brainly.com/question/10046743

#SPJ5

The area of the rectangle will be 24sq, units.

To determine the area of various polygons, there exist specialized formulae. The general formula for rectangles is as follows:

A = width x length

Given, the coordinates of the rectangle are W(0,1), X(3,4), Y(-1, 8), Z(-4,5)

So the length of rectangle will be = distance between W and X will be -

⇒[tex]\sqrt{(3 - 0)^{2} + (4-1^{2}) }[/tex]

⇒[tex]\sqrt{18}[/tex]

The breadth of rectangle will be = distance between X and Y

⇒ [tex]\sqrt{(3 + 1)^{2} + (8-4)^{2} }[/tex]

⇒ [tex]\sqrt{32}[/tex]

Now, area of rectangle = length × breadth

⇒ [tex]\sqrt{18}[/tex] × [tex]\sqrt{32}[/tex]

⇒ 24 sq. units

So, the area of the rectangle will be - 24 sq. units

To learn more about area of rectangle from given link

https://brainly.com/question/26122580

#SPJ4

Answer: it's 3 love