Find the equation of the line that passes through points A and B.

Answer:

B. -√13/4

Step-by-step explanation:

cos 0 = -√3/4 => x=-√3 , h=4

tan 0 > 0

y should be on quadrant III

y= √4²-3= √16-3=√13 => -√13

so, sin 0 = y/h = -√13/4

Answer:

B. -√13/4

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

If the diagonals of the rectangle are congruent,

AC = BD

By using formula to calculate the distance between two points,

Distance between two points = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance between A(0, -3) and C(2, 8),

AC = [tex]\sqrt{(8+3)^2+(2-0)^2}[/tex]

     = [tex]\sqrt{125}[/tex]

     = [tex]5\sqrt{5}[/tex]

Similarly, distance between two points B(-4, 0) and D(6, 5),

BD = [tex]\sqrt{(5-0)^2+(6+4)^2}[/tex]

     = [tex]\sqrt{125}[/tex]

     = [tex]5\sqrt{5}[/tex]

Therefore, both the diagonals are congruent.

Hence, given quadrilateral ABCD is a rectangle.

Answer:

Maria should budget $105 for the trip.

Step-by-step explanation:

First divide every 30 miles she is going doing for the trip.

900 divided by 30 = 30

So she will need 30 gallons to drive 900 miles.

30 x 3.50 = 105.

105 is how much she will pay for the gas.

Step-by-step explanation:

b= 140 ( alternate angle)

k = 130 ( veetically opposite angles)

may it help ub

Answer:

[tex]-1\frac{2}{9}[/tex]

Step-by-step explanation:

         _

y = - 1.2

                 _

y × 10 = - 1.2 × 10

                _

10y = - 12. 2

                _

10y = - 12. 2

-         _

y = - 1.2

____________

9x = 11

9x ÷ 9 = 11 ÷ 9

[tex]x = -1\frac{2}{9}[/tex]

   _

- 1.2 = - 1 2/9

Answer:

A

Step-by-step explanation:

2x + x = 3x

y - 3y = 2y

Answer:

It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.

Answer:

43347

Step-by-step explanation:

just move decimal to the right 4 times.

Answer:

please give me brainliest for quest

Step-by-step explanation:

Answer:

Daylilies- $11, Ornamental grass- $7

Step-by-step explanation:

For this one, you want to convert this into simultaneous equations.

If we let d be cost of one daylily and o be cost of one bunch of ornamental grass, we can write the equations as 2d+3o=43 and 6d+3o=87.

From there, we can see they share a like term (3o), so we subtract one equation from the other (since they both are preceded by a +). This gives 4d=44.

Dividing both sides by 4 isolates d, leaving d=$11.

We can substitute this value into either equation to work out o (I'm using the first one as it is easier). This makes it 2×11+3o=43, or 22+3o=43.

From there, we subtract 22 from both sides, giving 3o=21, and dividing by 3 gives a final result of o=$7.

**This content involves writing and solving simultaneous equations, which you may wish to revise. I'm always happy to help!

All working out:

d- cost of one daylily o- cost of one bunch of ornamental grass

2d+3o=43 6d+3o=87

6d+3o=87

 -     -     -

2d+3o=43

=     =    =

4d      =44

÷4        ÷4

d        =11

2d+3o=43

2×11+3o=43

22+3o=43

3o=21

o=7

Answer:

Sum of the four numbers in terms of x would be 4x+4

Step-by-step explanation:

x-2 + x + x+2 + x+4 = sum

4x+4 = sum

Answer:

diverging

Step-by-step explanation:

A regular way to know if a series is converging or diverging, is to check is as the number of terms increase, the value of such terms also increase.

So, if for example, we have:

[tex]A_n > A_{n-1}[/tex]

We know that the series will not converge, because eventually the terms will be very large, and the series will diverge.

In this case we have the series:

1/4, 1/2, 1, 2

So each term is two times the previous one, thus, the n-th term will be larger than the n-th minus one term, so we can conclude that this series diverges.

Answer:

85.7 ounces.

Step-by-step explanation:

428.5/5 = 85.7

Therefore, Ms. Emily put 85.7 ounces of pretzels into each bowl.

Answer:

85.7 ounces

Step-by-step explanation:

428.5 ounces ÷ 5=85.7 ounces

Answer:

Answer:

31793 cm^3

Step-by-step explanation:

Equation

Volume = [tex]\pi[/tex] * r^2 * h

Givens

d = 2*r

d  = 30

r = 15

h = 45

[tex]\pi[/tex] = 3.14

Solution

V = 3.14 * 15^2 * 45

V = 31793 rounded.

A linear binomial is a factor of a polynomial if the polynomial value is 0 at the zeros of the linear binomial

Assume a polynomial function is

P(x) = (x - 3)(x + 1)(x -2)

And a linear binomial is:

x - 3 = 0

We start by calculating the value of x in x - 3 = 0

x = 3

Next, we substitute x = 3 in P(x) = (x - 3)(x + 1)(x -2)

P(3) = (3 - 3)(3 + 1)(3 -2)

Evaluate

P(3) = 0

Since P(3) = 0, then the linear binomial x - 3 is a factor of P(x) = (x - 3)(x + 1)(x -2)

Read more about remainder theorem at:

https://brainly.com/question/13328536

#SPJ1

Answer:

the missing side is 6

Step-by-step explanation:

Using the Pythagorean theorem, ([tex]a^{2} + b^{2} = c^{2}[/tex]), for right triangles, you get [tex]4^{2} + (2\sqrt{5}) ^{2} = c^{2}[/tex].  Since the square cancels the square root for side b you get [tex](2^{2})*(5)[/tex] which equals 20. This makes your equation go to 16+20 = [tex]c^{2}[/tex]. Then add the numbers to make [tex]36=c^{2}[/tex]  solve for c by taking the square root of both sides to get c = 6.

Answer:

(-1, 8)

the value of a is 8

Experimental probability of the name Alex being drawn is 4/10

This is because out of the ten times a name was drawn, Alex was drawn four times.

If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.

This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

XYZ is congruent to DEF so:

X = D

Y = E

Z = F

Answer:

5x2+20x−15

Step-by-step explanation:

Answer:

y < 4 or y > 9

Step-by-step explanation:

The symbol < means less than, while the symbol > means greater than. So, the inequality y < 4 means that y is less than 4, and the inequality y > 9 means that y is greater than 9. When put together you have all real numbers y that are less than 4 or greater than 9.

Answer:

Step-by-step explanation:

here,

base=28 ft

height=24 ft

are of parallelogram=base*height

=28*24

=672 ft^2

Answer:

672 ft²

Step-by-step explanation:

Area of parallelogram is the same as the area of a rectangle.

28 × 24 = 672 ft²

Answer:

(c) 84

hope this helps!!!!

Answer:

43 degrees

Step-by-step explanation:

Answer:

8:21

Step-by-step explanation:

Respuesta:

Media = 6

Mediana = 6

Modo = 6

Desviación media = 1

Desviación estándar = 1.317

Explicación paso a paso:

Dados los datos:

5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8

Datos reorganizados: 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8

La media: Σx / n = 96/16 = 6

El modo, = 6 (valor más alto que ocurre en los datos, valor de datos con la frecuencia más alta)

La mediana = 1/2 (n + 1) ésimo término

Mediana = 1/2 (17) término = 8.5 th término = (6 + 6) / 2 = 6

La desviación media = Σ (x - media) / n

Usando la calculadora, la desviación media = 1

La desviación estándar = √ (Σ (x - media) ² / n-1)

Desviación estándar = 1.317

Answer:

[tex]x= 23.775.[/tex]

Step-by-step explanation:

[tex]\text{We have} \\\cos(18\textdegree) = \frac{x}{25} \\\Rightarrow x= 25\cos(18\textdegree)\\\Rightarrow x= 25 \times 0.951\\\Rightarrow x= 23.775.[/tex]

Answer:

[tex]{ \tt{7.1 \times {10}^{ - 3} }} \\ { \bf{negative \: means \: { \green{increase \: in \: decimal \: places}}}} \\ = { \tt{0.71 \times {10}^{ - 2} }} \\ = { \tt{0.071 \times {10}^{ - 1} }} \\ = { \tt{0.0071 \times {10}^{0} }} \\ { \boxed{ but \: {10}^{0} = 1}} \\ \therefore{ \tt{ = 0.0071 \times 1 = 0.0071}}[/tex]

Answer:

x = 80

Step-by-step explanation:

Both angles together form 180, therefore x is 80

Answer:

x = 80

Step-by-step explanation:

100 and x form a straight line so they add to 180

x+100 =180

Subtract 100 from each side

x = 180-100

x = 80