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Lina20 [59]
3 years ago
12

Can someone explain to me how to do this?

Mathematics
1 answer:
elena55 [62]3 years ago
6 0
In the slope intercept form equation of a line (y=ax+b) a represents the slope, and b represents the intercept, which is -5. Thus, we know y=ax-5. The slope can be found by creating a fraction with the change in y value on top, and the change of x value on the bottom. If we have two points (4, 1) and (0, -5) we can put this into a fraction - \frac{-5-1}{0-4}, which simplifies down to -6/-4, or 3/2. Thus the answer is f(x)=\frac{3}{2}x-5<span />
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What is the area of the figure?
xenn [34]

Answer:   17.5 square yards

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

Work Shown:

base = 5 yards

height = 7 yards

The base and height are always perpendicular to one another

area of triangle = 0.5*(base)*(height)

area of triangle = 0.5*(5)*(7)

area of triangle = 17.5 square yards

The other values aren't used. They're likely thrown in as a distraction.

3 0
3 years ago
Read 2 more answers
What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)
Anna71 [15]

Answer: m=-1.714

Step-by-step explanation:

By definition, the slope of the line is described as "Rate of change".

You need to use the following formula to calcualte the slope of the line;

m=\frac{y_2-y_1}{x_2-x_1}

In this case you know that the line passes through these two points: (8, -10) and (-6, 14).

Then, you can say that:

y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6

Knowing these values, you can substitute them into the formula for calculate the slope of a line:

 m=\frac{-10-14}{8-(-6)}

Finally, you must evaluate in order to find the slope of this line. You get that this is:

m=\frac{-24}{8+6}\\\\m=\frac{-24}{14}\\\\m=-\frac{12}{7}\\\\m=-1.714

8 0
3 years ago
Y= - 2x + 4<br> 2x + y = 4
Tomtit [17]

Answer:

Infinite amount of solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -2x + 4

2x + y = 4

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                  2x + (-2x + 4) = 4
  2. Combine like terms:                                                                                         4 = 4

Here we see that 4 does indeed equal 4.

∴ the systems of equations has an infinite amount of solutions.

7 0
3 years ago
Read 2 more answers
Write an inequality for the following.<br> Jackie spent no more than $40 on a video
ANEK [815]

Answer:

x ≥ $40

Step-by-step explanation:

Jackie didn't spend more than $40 on a video.

x ≥ $40

7 0
3 years ago
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using
klio [65]

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Note that y = f(x)

Given

9x + 3y = 12 ← Rearrange making y the subject

Subtract 9x from both sides

3y = - 9x + 12 ( divide all term by 3 )

y = - 3x + 4, thus

f(x) = - 3x + 4

4 0
3 years ago
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