what is an equation of the line that passes through the points (-2,1) and (-8,4)​

Answer:

x = 8/3

Step-by-step explanation:

distribute the 3 with everything in the parantheses

3(2x-5) --> 6x -15 = 1

move the 15 to the right side of the equation

6x = 16 and then divide by 6

x = 8/3

Answer:

x = 8/3

Step-by-step explanation:

3 ( 2x - 5 ) = 1

→ Expand out bracket

6x - 15 = 1

→ Add 15 to both sides to isolate 6x

6x = 16

→ Divide both sides by 6 to isolate x

x = 8/3

Answer:

x = [tex]\frac{15}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4x-1}{2}[/tex] = x + 7 ( multiply both sides by 2 to clear the fraction )

4x - 1 = 2(x + 7) ← distribute

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = [tex]\frac{15}{2}[/tex]

Answer:

3x^2+6x+4

Step-by-step explanation:

6x+7+x^2+2x^2-3

3x^2+(7-3)+6x

3x^2+6x+4

Answer:

acute

Step-by-step explanation:

It measures less than 90 degrees

Answer:

Acute angle

Step-by-step explanation:

(less than 90°)

Answer:

robin would type D 60 characters in 20 seconds

Answer: 4.189 units

Step-by-step explanation:

AP EX

As per linear equation, the required approximate arc length is 4.19 units.

"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given,  length of the radius (r) = 1 units

The value of the given angle(θ) = 4π/3 radian.

Therefore, the approximate arc length is

= length of the radius × value of the given angle

= r × θ

= 1 × 4π/3 units

= 4π/3 units

= 4.19 units

The required approximate arc length is 4.19 units.

Learn more about linear equation here: https://brainly.com/question/11897796

#SPJ2

The given equations are

[tex]2x-3y=-1\cdots(i) \\\\y=x-1\cdots(ii)[/tex]

(a) Solution by graphing both the equations:

Graph for both the equations (i) and (ii) are in the figure. The point of intersection of both the graph is the solution of the equations.

From the graph, the point of intersection is (4,3)).

Hence, the required solution is (4,3).

(b) Solution by elimination method:

Equations (ii) can be written as -x+y=-1, now multiply it by 2, we have

[tex]-2x+2y=-2\cdots(iii)[/tex]

Add equations (i) and (iii), we have

2x-3y=-1

-2x+2y=-2

__________

[tex]\Rightarrow -3y+2y=-1-2\\\\ \Rightarrow -y=-3\\\\ \Rightarrow y=3.[/tex]

Putting the value of y=3 in equation (i), we have

[tex]2x-3\times 3=-1 \\\\\Rightarrow 2x=-1+9=8 \\\\\Rightarrow x=8/2=4[/tex]

Hence, the required solution is (4,4).

(c) Solution by substitution method:

Substituting the value of y from equation (ii) to equation (i), we have

[tex]2x-3(x-1)=-1 \\\\\Rightarrow 2x-3x+3=-1 \\\\\Rightarrow -x=-1-4=-4 \\\\\Rightarrow x=4[/tex]

Putting the value of x=4 in equation (i), we have

[tex]y=4-1=3[/tex].

Hence, the required solution is (4,3).

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Answer:x = -0.1290322581

Step-by-step explanation:

Simplifying

9x + -4(1 + 10x) = 0

9x + (1 * -4 + 10x * -4) = 0

9x + (-4 + -40x) = 0

Reorder the terms:

-4 + 9x + -40x = 0

Combine like terms: 9x + -40x = -31x

-4 + -31x = 0

Solving

-4 + -31x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + -31x = 0 + 4

Combine like terms: -4 + 4 = 0

0 + -31x = 0 + 4

-31x = 0 + 4

Combine like terms: 0 + 4 = 4

-31x = 4

Divide each side by '-31'.

x = -0.1290322581

Simplifying

Answer:

3/2

Step-by-step explanation:

Assuming you meant fractions, to divide them, you must multiply the reciprocal of that fraction. You'll then have:

4/5x15/8

Reduce the numbers of the greatest common factor which is 5:

4x3/8

Reduce the numbers of the greatest common factor which is now 4:

3/2 is your answer

Answer:

When you're listening to heartfelt emotional music and you're about to cry and then it starts buffering explanation:

Mood killer

Answer:

being abandoned by my significant other, being unable to talk to my significant other, just being alone and getting abandoned in general

Step-by-step explanation:

Answer:

they felt it only benefited the industrialized north, increased the cost of British textiles.

Step-by-step explanation:

learned during U.S history so i think its right

Answer:

Tariffs hurt Southerners?

Step-by-step explanation:

In 1828, Congress passed a high protective tariff that infuriated the southern states because they felt it only benefited the industrialized north. For example, a high tariff on imports increased the cost of British textiles. This tariff benefited American producers of cloth — mostly in the north.

Answer:

-6, -2

Step-by-step explanation:

Answer:

Equation 2

Step-by-step explanation:

Equation 2 is the only one possible to be linear. All of the other answers have an exponents. For instance, say you have y=x^3. For 1, it is 1*1*1. (1,1). For 2, it is 2*2*2. (2,8). For 3, 3*3*3. (3,27) It escalates into a curve and is non-linear.

Answer:

N=CD C=2-3 sentance

Step-by-step explanation:

Answer:

2:1

Step-by-step explanation:

Answer:$240.00

Step-by-step explanation:

$240.00

Answer:

It depends on how much the computer costs originally and the model of computer.

Step-by-step explanation:

Say the computer costs 151.98 USD with the tax added, then the computer would cost 148.00 USD without tax.  Or if the computer costs 162.79 USD with the tx added, then the computer would cost 160.00 USD without tax. It's the same for the rest but it also depends on the model of computer. (My calculations of adding 3 or 2 USD as the tax is just for example, i don't know how they calculate tax for computers)

151.98-148.00= 3.98$

162.79-160.00=2.79$

==========================================

Work Shown:

2(b+3)-17 = 3b-7+b

2b+6-17 = 4b-7

2b-11 = 4b-7

-11+7 = 4b-2b

-4 = 2b

2b = -4

b = -4/2

b = -2

There is one solution and it is b = -2

A quick way to tell we have one solution is to note that both sides are a linear expression, and that the slopes of each linear expression are different values. If you had two lines with the same slope, then you'd have either parallel lines or coinciding lines (leading to no solutions and infinitely many solutions respectively). When you have two lines with two different slopes, then they are guaranteed to intersect only once. That intersection point is the solution.

Answer:

The answer is one solution

Step-by-step explanation:

1)2(b+3)-17 = 3b-7+b

2)2b+6-17 = 4b-7

3)2b-11 = 4b-7

4)-11+7 = 4b-2b

5)-4 = 2b

6)2b = -4

7)b = -4/2

Final your answer is b = -2

Answer:

yes just fill up the 6 gallon jar up to the 4 galon mark

Step-by-step explanation:

Answer:

7 dollars

Step-by-step explanation:

Answer:

17x-3

Step-by-step explanation:

6x+9 + 3x-2 = 9x+7

2(4x-5) = 8x-10

9x+7 + 8x-10 = 17x-3

Answer:

Step-by-step explanation:

Answer:

17x-3

Step-by-step explanation:

6x+9 + 3x-2 = 9x+7

2(4x-5) = 8x-10

9x+7 + 8x-10 = 17x-3

Answer: B

Step-by-step explanation:

Each month, the person seems to grow taller. So, there IS a positive association between height and age.

Answer:

(0, 3)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line passes the y-axis at 3. Therefore, our y-int is (0, 3).

Answer:

3

Step-by-step explanation:

Each line represents one unit, so if we count up from the origin, or (0, 0), up until we get to the y-intercept, we count a total of 3 lines. That means the y-intercept is at (0, 3). We can just simplify this to 3, though. I hope this helps!

Answer:

Answer:the company bought 12 computers and 4 printers.

Step-by-step explanation:

Step-by-step explanation:

Let x represent the number of computers that the company bought.

Let y represent the number of printers that the company bought.

The company buys a total of 16 machines. It means that

x + y = 16

Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that

550x + 390y = 8160 - - - - - - - - - - 1

Substituting x = 16 - y into equation 1, it becomes

550(16 - y) + 390y = 8160

8800 - 550y + 390y = 8160

- 550y + 390y = 8160 - 8800

- 160y = - 640

y = - 640/ - 160

y = 4

Substituting y = 4 into x = 16 - y, it becomes

x = 16 - 4

x = 12

Answer:

The company bought 12 computers and 4 printers.

Step-by-step explanation:

Let x represent the number of computers that the company bought.

Let y represent the number of printers that the company bought.

The company buys a total of 16 machines. It means that

x + y = 16

Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that

550x + 390y = 8160 - - - - - - - - - - 1

Substituting x = 16 - y into equation 1, it becomes

550(16 - y) + 390y = 8160

8800 - 550y + 390y = 8160

- 550y + 390y = 8160 - 8800

- 160y = - 640

y = - 640/ - 160

y = 4

Substituting y = 4 into x = 16 - y, it becomes

x = 16 - 4

x = 12

Answer:

115

Step-by-step explanation:

Answer:

The answer you have checked is the correct one.

Answer:

[tex]\frac{1}{x}[/tex]

or

[tex]\frac{4x^{2} -3}{x}[/tex]

Step-by-step explanation:

can i have brainliest?