1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
siniylev [52]
2 years ago
9

How do you solve the equation 4a+b=12

Mathematics
2 answers:
baherus [9]2 years ago
8 0

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

4*a+b-(12)=0

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 goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b 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 4a+b-12 = 0 and calculate its properties

Notice that when a = 0 the value of b is 12/1 so this line "cuts" the b axis at b=12.00000

b-intercept = 12/1 = 12.00000

When b = 0 the value of a is 3/1 Our line therefore "cuts" the a axis at a= 3.00000

a-intercept = 12/4 = 3

Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 12.000 and for a=2.000, the value of b is 4.000. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 4.000 - 12.000 = -8.000 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -8.000/2.000 = -4.000

Geometric figure: Straight Line

  1. Slope = -8.000/2.000 = -4.000
  2. a-intercept = 12/4 = 3
  3. b-intercept = 12/1 = 12.00000
Jobisdone [24]2 years ago
7 0

Answer:

Step-by-step explanation:

Without having a numerical value for a (or b), you can't "solve this equation."

You can, however, solve it for either a or b, but not both.

For a:  Subtract b from both sides.  This results in 4a = 12 - b.  Dividing both sides by 4 isolates a:  

        12 - b

a = --------------

            4

For b:  Subtract 4a from both sides.  Then:   b = 12 - 4a

     

You might be interested in
HELPP YALL! ILL MARK BRAINIEST!!! LOOK AT PICTURE!!!
Rufina [12.5K]

m∠3 = 180 - m∠8 = 180 - 123 = 57

m∠1 = m∠3 = 57°

6 0
2 years ago
What is the equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (4, 2)? Sh
BaLLatris [955]

The equation of the line is y = -x + 6 if the passes through the point (4, 2).

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

From the graph:

The slope of the line g = (0-5)/(-5-0)

= 1

The slope perpendicular to the line g:

= -1

y - 2 = -(x - 4)

y - 2 = -x + 4

y = -x + 6

Thus, the equation of the line is y = -x + 6 if the passes through the point (4, 2).

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

4 0
1 year ago
How many times greater is<br> 3.8 X 10^5 than<br> 1.9 X 10^2<br> 2<br> 20<br> 200<br> 2000
storchak [24]

Answer:

2 * 10^3 = 2000.

Step-by-step explanation:

3.8/1.9 * 10^5/10^2

= 2 * 10^3

6 0
2 years ago
Read 2 more answers
Write a equation of a hyperbola given the foci and the asymptotes
professor190 [17]

Solution:

The standard equation of a hyperbola is expressed as

\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}

The asymptote of n hyperbola is expressed as

y=\pm\frac{a}{b}(x-h)+k

Given that the asymptotes are

y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x

This implies that

a=3,\text{ and b=4}

To evaluate the value of h and k,

undefined

3 0
1 year ago
Estimate the length of one side of a square floor, if the area is 320 square feet. Give the whole number that is closest to the
RSB [31]
Let us assume the length of a side of the square floor = x feet
Area of the square floor as given in the question = 320 square feet
Then
x^2 = 320
x^2 = (17.89)^2
Then
x = 17.89
   = 18 feet approx

From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the second option or option "B".
3 0
3 years ago
Other questions:
  • Find the perpendicular distance from the point p(2, 7, 9) to the xy-plane.
    5·1 answer
  • The school That Darryl goes to is selling tickets to a choral performance on the first day of ticket sales the school sold nine
    10·1 answer
  • How do you make x the subject of basic equations? Thanks in advance.
    12·1 answer
  • Estimate and classify the critical points for the graph of each function.
    6·1 answer
  • The recursive rule for a sequence and one of the specific terms is given. Find the position of the given
    7·1 answer
  • What is the area of the triangle in the diagram?
    7·1 answer
  • Sarah will take 8 algebra tests. On the first 7, Sarah's scores were 79, 86, 92, 89, 87, 80, and 82. What will Sarah need to sco
    6·1 answer
  • What are the excluded values of the fraction x+6/4x
    12·1 answer
  • I need help------
    11·2 answers
  • About 71% of Earth’s surface is covered in water. If the surface area of the Earth is about 196,900,000 square miles, About what
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!