If y varies directly with x, and y= 4/5 when x= 5:

Find the variation constant, k

Answer:

C.8n=56

Step-by-step explanation:

Given:

ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).

To find:

The x-coordinate of point D.

Solution:

Let the point D be (x,y).

We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

In parallelogram ABCD, AC and BD are two diagonals.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1}{2}=\dfrac{1+x}{2}[/tex]

[tex]1=1+x[/tex]

[tex]1-1=x[/tex]

[tex]0=x[/tex]

Similarly,

[tex]-1=\dfrac{4+y}{2}[/tex]

[tex]-2=4+y[/tex]

[tex]-2-4=y[/tex]

[tex]-6=y[/tex]

The coordinates of point D are (0,-6).

Therefore, the x-coordinate of point D is 0.

Answer:

The answer to the question provided is 4.

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \: \: 9x + 4 = 5x + 20 \\ \frac{ - 5x = - 5x}{4x + 4 = 20} \\ \frac{ \: \: \: \: \: \: \: \: - 4 = - 4}{ \frac{4x}{4} = \frac{16}{4} } \\ x = 4[/tex]

[I apologize if the answer to the question is inaccurate]

Answer:

the third one is the correct answer

[tex]b { }^{ - 16} [/tex]

Step-by-step explanation:

hope the helps

Answer:

b to power of -16

Step-by-step explanation:

Answer:

1/64 for each type f flowe

Step-by-step explanation:

Answer: There are 9 mangoes left in the basket.

Step-by-step explanation:

(2/5) * 15 = 6.

15 - 6 = 9.

Answer:

5.03secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

y = -16x^2 + 161x + 108

The rocket reaches it max height when its velocity is zero

Velocity is expressed as;

V(x) = dy/dx  = 0

dy/dx = -32x + 161

0 = -32x + 161

32x = 161

x = 161/32

x = 5.03

Hence it will take 5.03secs for the rocket to reach its maximum height

Answer:

the answer is 15

Step-by-step explanation:

Just add

Answer:

15 grams

Step-by-step explanation:

Answer:

x = 14.4

Step-by-step explanation:

First of all, the triangle has three sides, so let's use hero's formula to find the area.

A = √[p(p - a)(p - b)(p - c)]

Where;

a, b and c are the 3 given sides of the triangle and;

p = (a + b + c)/2

p = (18 + 30 + 24)/2

p = 72/2

p = 36

Thus;

A = √(36(36 - 18)(36 - 30)(36 - 24))

A = √46656

A = 216 Sq.units

Now, we also know from general formula of a triangle that;

A = ½bh

Where;

b is base and h is height

In the given image;

b = 30

h = x

Thus;

½ × 30 × x = 216

Rearranging, we have;

x = 216 × 2/30

x = 14.4

The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.

Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length x.

Now, by the intersecting chord theorem,

16×4 = x × x

or

x ² = 64

so that

x = 8

Answer:

20

Step-by-step explanation:

fw3f2f3sf a

Answer:

D) 4(x - 6)(x + 1)

Step-by-step explanation:

(2x - 5)(2x - 5) = 4x² - 20x + 25

7(7) = 49

4x² - 20x + 25 - 49

4x² - 20x - 24

4(x² - 5x - 6)

4(x - 6)(x + 1)

Answer:

K=  -11

Step-by-step explanation:

Answer:

4d - c + 3

4(6) - 3 + 3

24 - 3 + 3

24

Step-by-step explanation:

24

Hope this helps :T

Answer:

x[tex]\leq[/tex]1

Step-by-step explanation:

9514 1404 393

Answer:

  p(1) = 6

Step-by-step explanation:

The basic idea is to put 1 wherever you see x. That gives you ...

  p(1) = 2·1² +3·1 +1

The powers of x are all 1 when x=1, so the value of p(1) is just the sum of the coefficients:

  p(1) = 2 + 3 + 1

  p(1) = 6

Answer:

42 + 6w

Step-by-step explanation:

Basically,

6(8+w) is 6 x (8+w)

OR 6(8) + 6(w)

Hence 42 + 6w

9514 1404 393

Answer:

  12e -6f -8

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  = (6e)(2) +(-3f)(2) +(-4)(2)

  = 12e -6f -8

Answer: 120.

Step-by-step explanation: $30 divided by $0.25

Step-by-step explanation:

of what where is the question

Answer:

341 matches

Step-by-step explanation:

Given

[tex]Players = 342[/tex]

[tex]Match = 2\ players[/tex]

Required

Total number of matches.

The total number of matches is calculated by getting the number of matches in each round.

i.e.

[tex]Matches = \frac{Players}{2}[/tex]

So, we have:

Round 1

[tex]Matches = \frac{342}{2} = 171[/tex]

Round 2

[tex]Matches = \frac{171}{2} = 85\ R\ 1[/tex] [R 1 means remainder 1]

Round 3

[tex]Matches = \frac{85 + 1}{2} = \frac{86}{2} = 43[/tex]

[The remainder is added to each round]

Round 4

[tex]Matches = \frac{43}{2} = 21\ R\ 1[/tex]

Round 5

[tex]Matches = \frac{21+1}{2} = \frac{22}{2} = 11[/tex]

Round 6

[tex]Matches = \frac{11}{2} = 5\ R\ 1[/tex]

Round 7

[tex]Matches = \frac{5+1}{2} = \frac{6}{2} =3[/tex]

Round 8

[tex]Matches =\frac{3}{2} = 1 + 1[/tex]

Round 9

[tex]Matches = \frac{1+1}{2} =\frac{2}{2} = 1[/tex]

So, the total is:

[tex]Total = 171 + 85 + 43 +21 + 11 + 5 + 3 + 1+1[/tex]

[tex]Total = 341[/tex]

Answer:

7/5 simplified

Step-by-step explanation:

Its 7/5 Trust

Brainliest please!

Answer:

14/10 or 7/5

Step-by-step explanation:

Step-by-step explanation:

area of traingle formed on right= 1/2*base*height

=1/2*5*6

= 15mi²

Answer:

x≤14

Step-by-step explanation:

≤ = greater than/equal to(at least)