source : tiger-algebra.com

## Solve Properties of a straight line a.k=4a+9ab Tiger Algebra Solver

Reformatting the input :

Changes made to your input should not affect the solution:

(1): Dot was discarded near “a.k”.

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

a*k-(4*a+9*a*b)=0

## Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

ak – 4a – 9ab = a • (k – 9b – 4)

Equation at the end of step 1 :

## Step 2 :

Theory – Roots of a product :

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2 Solve : a = 0

Solution is a = 0

Equation of a Straight Line

2.3 Solve k-9b-4 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b (“y=mx+c” in the UK).

“y=mx+b” is the formula of a straight line drawn on Cartesian coordinate system in which “y” is the vertical axis and “x” the horizontal axis.

In this formula :

y tells us how far up the line goesx tells us how far alongm is the Slope or Gradient i.e. how steep the line isb is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line k-9b-4 = 0 and calculate its properties

Graph of a Straight Line : Calculate the Y-Intercept :

Notice that when a = 0 the value of k is 4/-9 so this line “cuts” the k axis at k=-0.44444

k-intercept = 4/-9 = -0.44444 Calculate the X-Intercept :

When k = 0 the value of a is 4/1 Our line therefore “cuts” the a axis at a= 4.00000

a-intercept = 4/1 = 4.00000 Calculate the Slope :

Slope is defined as the change in k divided by the change in a. We note that for a=0, the value of k is -0.444 and for a=2.000, the value of k is -0.222. So, for a change of 2.000 in a (The change in a is sometimes referred to as “RUN”) we get a change of -0.222 – (-0.444) = 0.222 in k. (The change in k is sometimes referred to as “RISE” and the Slope is m = RISE / RUN)

Slope = 0.222/2.000 = 0.111

## Geometric figure: Straight Line

Slope = 0.222/2.000 = 0.111 a-intercept = 4/1 = 4.00000 k-intercept = 4/-9 = -0.44444 a = 0

K=4a+9ab – solution – Equations solver – Simple and best practice solution for K=4a+9ab equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework. If it's not what You are looking for type in the equation solver your own equation and let us solve it.Solve the equation for a. K=4a+9ab A.) a= K(4+9b) B.) a= 4(K+9b) C.) a= 4+9b/K D.) a=K/4+9b… Answers. Mathematics, 11.03.2020 22:06. Olaf has 250 files saved on an external hard drive. Of those files, 12% are photos. (a) Write a percent equation to find the number of files that are photos (b)…Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange

Which of the following identifies the author's main – Free math problem solver answers your algebra homework questions with step-by-step explanations.Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Solve for a k=4a+9ab. Rewrite the equation as . Factor out of . Tap for more steps… Factor out of . Factor out of . Factor out of . Divide each term by and simplify. TapRearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : a*d*o*t*k-(4*a+9*a*b)=0 . Step by step solution : Step 1 : Pulling out like terms : 1.1 Pull out like factors : adotk – 4a – 9ab = a • (dotk – 9b – 4) Equation at the end of step 1 : Step 2 : Theory – Roots of a product :

Solve in positive integers the equation $a^3+b^3=9ab – Solve the equation for a. K = 4a + 9ab. Given equation is K = 4a + 9ab. Now we solve for 'a'. We need to get 'a' alone. We factor out 'a' from the right hand side. K = 4a + 9ab. K = a (4+9b) Now we divide the equation both sides by 4+9b. SoSolve the equation for a. K = 4a + 9ab . answer. a=k/4+9b. question. Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b. What is an equivalent equation solved for h? answer.There are a couple of ways to solve this problem: First, this equation is (or is nearly) in standard form. And there is a formula for the slope of an equation in standard form: . Since the slope, m, is 3 and A = 4 and B = -k, this formula for this equation is We can solve this for k. Multiply both sides by k: Divide both sides by 3: Solve for y