Mathmatics 8th grade

Answer:

Linear equation with a slope of 2 that goes through the point (3, 4) is [tex]y = 2\cdot x -2[/tex].

Step-by-step explanation:

From statement we know the slope of the line and a point contained in it. Using the slope-point equation of the line is the quickest approach to determine the appropriate equation, whose expression is:

[tex]y-y_{o} = m \cdot (x-x_{o})[/tex]

Where:

[tex]m[/tex] - Slope, dimensionless.

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of given point, dimensionless.

[tex]x[/tex], [tex]y[/tex] - Independent and dependent variable, dimensionless.

If we know that [tex]m = 2[/tex], [tex]x_{o} = 3[/tex] and [tex]y_{o} = 4[/tex], the linear equation is found after algebraic handling:

1) [tex]y-4 = 2\cdot (x-3)[/tex] Given

2) [tex]y = 2\cdot (x-3) +4[/tex] Compatibility with Addition/Existence of Additive Inverse/Modulative Property

3) [tex]y = 2\cdot x -2[/tex] Distributive Property/[tex](-a)\cdot b = -a\cdot b[/tex]/Definition of sum/Result

Linear equation with a slope of 2 that goes through the point (3, 4) is [tex]y = 2\cdot x -2[/tex].

Answer:

17 21/32

Step-by-step explanation:

Answer:

sometime

Step-by-step explanation:

Answer:

18.67 m/s²

Step-by-step explanation:

a = ∆v/ t

a= v - u/t

a = 2.8 - 0 / 0.15

a = 2.8 / 0.15

a = 18.67 m/s²

Answer:

the answer is  (x – 4)(x2 + 4x + 16).

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: Expressions that simplify to the same equations are called Linear equations.It can simplify the same equation.

Step-by-step explanation:

Answer:

1000 feet²

Step-by-step explanation:

Given that,

Width of a parallelogram is 40 feet

Height of the parallelogram is 25 feet

We need to find the area of the intersection that forms a parallelogram. The formula for the area of a parallelogram is given by :

A = base × height

A = 40 × 25

A = 1000 feet²

So, the area of the parallelogram is 1000 feet²

Answer:

Step-by-step explanation:

45

Answer:

12

Step-by-step explanation:

It is assumed the order of the numbers doesn't change.

Answer:

49.5 lbs.

Step-by-step explanation:

23.4 + 26.1 equals 49.5 pounds

Hopefully this helps you  :)

pls mark brainlest ;)

Answer:

Is this full qn ?. I don't think sooo.

Answer:

Step-by-step explanation:

Refer to attached

Added parallel lines in red to help:

Answer:

the 20th term of the sequence is 35.75

Answer:

5

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Here sum = 75, mean = 15 and let n be count, thus

[tex]\frac{75}{n}[/tex] = 15 ( multiply both sides by n )

75 = 15n ( divide both sides by 15 )

5 = n ← number of terms

Answer:

The answer to 6 is 5

Step-by-step explanation:

Answer:

Sorry but this is not mathematics, if you put it in computer and technology, your question may be answered

Sorry but I can't help.

Answer:

option 1 is the correct answer

Step-by-step explanation:

since 12 is less than 20. then we will deduct -1 from y; which is 0

Answer:

y = [tex]\frac{3}{5}[/tex] x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x + 3y = 15 ( subtract 5x from both sides )

3y = - 5x + 15 ( divide all terms by 3 )

y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form

with slope m = - [tex]\frac{5}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus

y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, 1) into the partial equation

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line

Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.

The equation of the line is; 3x - 5y = 10.

By comparison with the equation of a straight line: y = Mx + c

The equation 5x+3y=15 can be rewritten as ;

y = (-5/3)x + 5

Therefore, the slope of the equation is; (-5/3)

The product of the slope of two perpendicular lines is: -1.

therefore m1m2 = -1

Therefore; M2 = -1/(-5/3)

Therefore M2 = 3/5

The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;

3/5 = (y - 1)/(x - 5)

By Cross product;

3x - 15 = 5y -5

Therefore, the equation of the line is;

3x - 5y = 10.

Read more:

https://brainly.com/question/17076690

[tex]g(x) = (24 - x)2 + 7\\= 48 - 2x + 7\\g(6) = 48 - 2 \cdot 6 + 7\\= 48 - 12 + 7\\= 43[/tex]

Answer:

  40 ft

Step-by-step explanation:

The tree's shadow is 60/12 = 5 times the length of the shadow of the post. So, we figure the tree is 5 times the height of the post:

  5(8 ft) = 40 ft . . . height of tree

__

You may want to write a proportion:

  tree height/tree shadow = post height/post shadow

  t / 60 = 8 / 12

  t = 60(8/12) = 40 . . . . multiply by 60

Answer:

d = 10

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(8-8)^2+(5.3-(-4.7))^2} \\d= \sqrt{(0)^2+(10)^2} \\d= \sqrt{0+100} \\d= \sqrt{100}\\ d= 10[/tex]

Answer:

46

Step-by-step explanation:

The n th term of an AP  is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here d = - 3 and [tex]a_{18}[/tex] = - 5 , thus

a₁ + (17 × - 3) = - 5

a₁ - 51 = - 5 ( add 51 to both sides )

a₁ = 46

Answer:

a = 46

Step-by-step explanation:

Refer to the attachment.

Answer:2,156,004

Step-by-step explanation:

Answer: 2,156,000.00

Step-by-step explanation:

1.)A   2.)B.  3.)C.  4.)C.   5.)B

I think the only one i might of gotten wrong is 4. if any are wrong. please let me know for future reference.

~ItsOniiSama ❤

Hope this helps! If so please ,mark brainliest!

Answer:

1. A

2. A

3. C

4. C

5. B

Step-by-step explanation:

i do beleive these are the correct answers

Answer:

when n=1

= -2(1-7) = 12

when n=2

= -2(2-7) = 10

when n=3

= -2(3-7) = 8

when n=4

= -2(4-7) = 6

when n=5

= -2(5-7) = 4

Step-by-step explanation:

Answer:

i say 24,890

Step-by-step explanation:

The number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.

Given that, in 2014, a toy store sold 12,823 stuffed animals. In 2015, the toy store sold 24,290 more stuffed animals than it did in 2014.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined be x.

Number of toys sold in 2014 = 12,823

Number of toys sold in 2015 = 12,823 + 24,290

=37,113

The toy store sold the same number of stuffed animals in 2016 as it did in 2015. That is, 37,113.

Now, x = Number of toys sold in 2014 + Number of toys sold in 2015 + Number of toys sold in 2016

=12,823+37,113+37,113

=87,049

Therefore, the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ5

Answer: 1.2(7x - 6y) is equivalent to 8.4x- 7.2y

Step-by-step explanation:

I took the test

Answer:  [tex]\{y | \ y \in \mathbb{R}, \ y \ge 0\}[/tex]

This translates to "y is any real number such that it is 0 or larger".

The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.

So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.

In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.