What is sin 28°?
62
17
8
28
90°
15

Answer:

The equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

Step-by-step explanation:

Given the points

Finding the slope between (-5, 10) and (5, -10)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:10\right),\:\left(x_2,\:y_2\right)=\left(5,\:-10\right)[/tex]

[tex]m=\frac{-10-10}{5-\left(-5\right)}[/tex]

[tex]m=-2[/tex]

Using the point-slope form to determine the line equation

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (-5, 10)

[tex]y-10=-2\left(x-\left(-5\right)\right)[/tex]

[tex]y-10=-2\left(x+5\right)[/tex]

Add 10 to both sides

[tex]y-10+10=-2\left(x+5\right)+10[/tex]

simplify

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

Thus, the equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

Answer:

The following statements are true

(2)(6) > (–2)(2)

6/-2 < -2/-2

6/2 > -2/2

Step-by-step explanation:

Missing options

(2)(6) > (–2)(2)

6/2 < -2/2  

(–2)(6) > (–2)(–2)

6/-2 < -2/-2

(2)(6) < (–2)(2)

6/2 > -2/2

Before we know which statement is true, you must understand that when both sides of an inequality is multiplies or divided by a negative number, the inequality sign reverses.

For the first option:

6 > -2

Multiplying both sides by 2 will not reverse the inequality sign

Hence 2(6)>2(-2) is true since the inequality was retained.

For the second option:

6/2 < -2/2  

Dividing both sides by 2 will not reverse the inequality sign

Hence 6/2>2/2 is true nullifying the given expression 6/2 < -2/2  . Hence this expression is false

For the third option:

(–2)(6) > (–2)(–2)

Both sides were multiplied by a negative number i.e -2. Hence the sign supposed to reverse because -12 > 4 is false therefore this expression is FALSE

For the fourth option

6/-2 < -2/-2

Both sides were divided by a negative number i.e -2. Hence the sign supposed to reverse because -3 < 1 is true, therefore this expression is TRUE

For the fifth option:

((2)(6) < (–2)(2)

Both sides were multiplied by a positive number i.e 2. Hence the sign is not supposed to reverse because 12 < -4 is False, therefore this expression is FALSE

For the sixth option:

6/2 < (–2)/2

Both sides were divided by a positive number i.e 2. Hence the sign is not supposed to reverse because 3 < -4 is TRUE, therefore this expression is TRUE

Answer:

13x

Step-by-step explanation:

8x+5x

13x (collect the like terms)

Answer:

choice D

Step-by-step explanation:

Answer:

1500

Step-by-step explanation:

we can write the 4-digit PIN as ABCD

A = factor of 10 so,

A = 1, 2 ,5 (3 possible number or we can write n(A) = 3

B and C are number from 0 - 9 so each have 10 possible number n(B) = 10 and n(C) = 10

D makes the whole number cannbe divide by 2. it means that D must even number 2,4,6,8 or 0. so there are 5 possible number n(D) = 5

so to find how many different sets we just multiply all possible number

n(A) x n(B) x n(C) x n(D)

3 x 10 x 10 x 5 = 1500 different sets

Answer:

x >_ - 7

Step-by-step explanation:

Step-by-step explanation:

the # means that the answer is ready in my openion i think

Step-by-step explanation:

30÷100×640=192

total income =160+192

=352

weekly sales=?(x)

wage=640

so...

x×0.3+160=640

0.3x=640-160

0.3x=480

x=480÷0.3

x=1600

the weekly sales is 1600

I am just trying...not sure about the answer..just check

Answer:

42 - 14x = 9

Step-by-step explanation:

Given

2 - [tex]\frac{2}{3}[/tex] x = [tex]\frac{3}{7}[/tex]

Multiply through by 21 ( the LCM of 3 and 7 ) to clear the fractions

42 - 14x = 9 ← with no fractions

Answer:

14x - 33 = 0

Step-by-step explanation:

2 - (2/3) x = 3/7

6 - 2x = 9/7 (multiply 3)

42 - 14x = 9 (multiply 7)

14x - 33 = 0

Answer:

28.67

Step-by-step explanation:

Answer:

[tex]\displaystyle m=0.8[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (4, 1.2)

Point (10, 6)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

[tex]slope = \frac{4}{5} [/tex]

Step-by-step explanation:

slope formula:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

use the two coordinates given in the graph to find the values

i) (10, 6)

x1 = 10

y1 = 6

ii) (4, 1.2)

x2 = 4

y2 = 1.2

substitute the values into the formula

[tex] \frac{1.2 - 6}{4 - 10} [/tex]

[tex] \frac{ - 4.8}{ - 6} [/tex]

[tex] \frac{4}{5} [/tex]

Answer:

4x-11

Step-by-step explanation:

1. Distribute

6x+21-2x-10

2. Subtract the same numbers

3. You have your answer.

Answer:4x+11

Step-by-step explanation:

Answer:

2(n-8)-6=14

Step-by-step explanation:

Answer:

[tex]4x+3[/tex]

Step-by-step explanation:

[tex]5x+4+(-x)-1[/tex]

Remove parentheses: [tex](-a)=-a[/tex]

[tex]=5x+4-x-1[/tex]

Group like terms

[tex]=5x-x+4-1[/tex]

Add similar elements: [tex]5x-x=4x[/tex]

[tex]=4x+4-1[/tex]

Add/subtract the numbers: [tex]4-1=3[/tex]

[tex]=4x+3[/tex]

Answer:

Y: (0) (0.4)

X: (0.3) (0)

Step-by-step explanation:

prove me wrong

Answer:

Step-by-step explanation:

Dilation with respect to origin by a scale factor k will result in:

Given:

The image of point A under a 90° rotation about the origin is A'(10, -4).

To find:

The coordinates of point A.

Solution:

90° rotation about the origin means the figure is rotated 90° counterclockwise about the origin and the rule of rotation is

[tex](x,y)\to (-y,x)[/tex]

Let the coordinates of A are (a,b).

[tex]A(a,b)\to A'(-b,a)[/tex]

The image of point A under a 90° rotation about the origin is A'(10, -4).

[tex]A'(-b,a)=A'(10,-4)[/tex]

On comparing both sides, we get

[tex]-b=10\Rightarrow b=-10[/tex]

[tex]a=-4[/tex]

Therefore, the coordinates of point A are (-4,-10).

Answer:

64

Step-by-step explanation:

Here, we want to know the sum of the next two terms

We need to get the pattern first

The difference between the first two numbers is 49 (7^2)

next two is 36 (6^2)

next two is 25 (5^2)

next two is 16 (4^2)

next two will be 3^2 = 43-9 = 34

next will be 2^2 = 34-4 = 30

So the sum here is 30 + 34 = 64

Answer:

-6 on a number line is closer to 0 which make sit greater while -9 is farther away which makes it less than -6

Step-by-step explanation:

Answer:

True.

Step-by-step explanation: Because -9 is less than -6 because -6 is a bigger number than -9.

Some Equations:

6 + x = 27

x + 6 = 27

27 - 6 = x

27 - x = 6

27 = x + 6

27 = 6 + x

There are 11 girls

A system of equations to model this statement is x + (x + 6) = 27.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, There are 6 more boys than there are girls.

Assuming no. of girls to be x, therefore no. of boys is (x + 6).

Mrs. Smith has a total of 26 kids in her class.

∴ x + (x + 6) = 27.

learn more about linear equations here :

https://brainly.com/question/11897796

#SPJ2

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope-intercept of the line equation is

[tex]y = mx + b[/tex]

where m is the slope and b is the y-intercept

Please note that a linear equation contains no powers of x besides.

For example, the equation of the form

y = 2x+3

has the slope m = 2 and y-intercept b = 3

The graph is shown below.

Let us graph two more functions of the same family by changing the parameter of y-intercept b.

Graphing y = 2x+5

y = 2x + 5

has same slope m = 2. But, the y-intercept b = 5

The graph of y = 2x+5 is attached below.

Graphing y = 2x+7

y = 2x + 7

has same slope m = 2. But, the y-intercept b = 7

The graph of y = 2x+7 is attached below.

Thus, we would have the following graphs of the family of linear functions.

Please notice that all the functions have the same slope m = 2. Thus, all the lines would be parallel.

Thus, from the graph, it is clear that:

The graph is attached below.

Answer: x=2, y=2, z=3

Step-by-step explanation: I hope this helps!

Answer:

??? can you explain it better

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

e

Answer:

an inche

Step-by-step explanation:

Answer: 120 ft

Step-by-step explanation:

1 yard = 3 feet

40 yards = 120 feet

40*3=120

Answer:

  hello, okay so im in 6th so this is easy. so

Step-by-step explanation:

figure out what 1 mile is. 1 mile would be 600 divided by 10, which is 60. so 60*15 would be 900. so he would drive 900 miles in 15 hours. :);

Answer:

We conclude that the range of the function will be:

R = {5, 17, 29}

Step-by-step explanation:

Given

Given the function

f(x) = 6x-1

Given the domain

D = {0, 3, 5}

To Determine:

The range R = ?

We know that range of the function consists of all the y-values for the x-values in the domain of the function.

so substituting the values of x = 0, 3, and 5 in the function to determine the corresponding y-values.

Plug in x = 0

y = 6x-1

y = 6(0) - 1 = 6-1 = 5

Plug in x = 3

y = 6x-1

y = 6(3) - 1 = 18-1 = 17

Plug in x = 5

y = 6x-1

y = 6(5) - 1 = 30-1 = 29

Now, combine all the determined y-values which are 5, 17, and 29.

Therefore, we conclude that the range of the function will be:

R = {5, 17, 29}

Answer:

A

Step-by-step explanation:

i think