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KiRa [710]
3 years ago
10

Need help asap !!! Write an equation of the line below.

Mathematics
2 answers:
prohojiy [21]3 years ago
8 0

9514 1404 393

Answer:

  y = -1/3x +4

Step-by-step explanation:

The graph of the line has two points marked on it.

  (x1, y1) = (-6, 6) . . . . . left point

  (x2, y2) = (0, 4) . . . . right point, and y-intercept

The slope of the line is the ratio of the differences:

  m = (y2 -y1)/(x2 -x1)

  m = (4 -6)/(0 -(-6)) = -2/6 = -1/3

The y-intercept is the y-value where the line crosses the y-axis. Here, that y-value is 4.

In the slope-intercept form of the equation for the line, the slope is called <em>m</em>, and the y-intercept is called <em>b</em>. For this line, we have m=-1/3, b=4.

The equation is ...

  y = mx +b

  y = -1/3x +4 . . . . . the equation you're looking for

aliina [53]3 years ago
4 0

Answer: y intercept =  y=-1/3x+4, point-slope = (y-6)=-1/3(x+6)

Step-by-step explanation:

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PLS help<br> solve for x: -6(2x-5) = 18
Mashutka [201]

Hey!


-6(2x-5) = 18


Switch it around and it becomes:


2x - 5 = 18 \div -6


First find 18 ÷ -6


18 \div -6 = -3

Positive ÷ negative OR negative ÷ positive is always negative.


That leaves you with:


2x - 5 = -3


Switch that around and it becomes:


-3 + 5 = 2x


Find -3 + 5


-3 + 5 = 2


That leaves you with:


2 = 2x


Divide both sides by 2 to leave <em>x</em> alone


\frac{2}{2} =  \frac{2x}{2}


\framebox{x = 1}

4 0
3 years ago
A vial contains 20mL of medicine.If each dose is 1/3 of the vial,how many mL is each dose.Express your answer as a decimal
Genrish500 [490]

Answer:

each dose = 6.7 mL ( to 1 decimal place)

Step-by-step explanation:

Total volume of vial = 20mL

each dose of vial = 1/3 of the total volume

let us express this fraction as a real number:

1/3 of 20 = 1/3 × 20

Since we are to express the answer as a decimal, let us convert the fraction to decimal:

1/3 = 0.3333

∴ 1/3 × 20 = 0.3333 × 20 = 6.667 mL

since we are dealing with drugs, it'll be appropraite to express the answer to 1 d.p

∴ each dose = 6.7 mL

4 0
3 years ago
What is the lateral surface area of the square pyramid below?
den301095 [7]

Answer:

lateral surface area = 48 inches²

Step-by-step explanation:

The picture below is the square base pyramid you are referring. The lateral area is adding the area of the 4 triangles in the pyramid.

area of a triangle = 1/2 × b × h

The slant height of the triangle is gotten using Pythagoras theorem

lateral surface area = 4 × (1/2 ×  3 × 8)

lateral surface area = 4 × 24/2

lateral surface area = 4 × 12

lateral surface area = 48 inches²

3 0
3 years ago
Read 2 more answers
For all real numbers a and b, 2a • b = a2 + b2 Is this true or false? Explain why it false or true.
Andru [333]

Answer:

It's false.... correct is a2+2ab+b2

Step-by-step explanation:

This cannot be factored anymore although. when we try to substitute a with 5 and b with 2, the answer in the right hand side of the equation is -9.

That's why it's false.

3 0
3 years ago
State whether f is a function
Alenkinab [10]
<h2>Answer:</h2>

y=\pm (\frac{x}{6})^{\frac{1}{4}} \ is \ not \ a \ function

<h2>Step by step solution:</h2>

A function f from a set A to a set B is a relation that assigns to each element x in the set A exactly one element y in the set B. The set A is the domain (also called the set of inputs) of the function and the set B contains the range (also called the set of outputs). On the other hand, a function has an inverse function if and only if passes the Horizontal Line Test for Inverse Functions. This test tells us that a function f has an inverse function if and only if there is no any horizontal line that intersects the graph of f at more than one point. So the function is called one-to-one. The graph of f is shown below. As you can see, this function does not pass the Horizontal Line Test, therefore the inverse is not a function. However, let's find f^-{1}(x):

f(x)=6x^4 \\ \\ Substitute \ f(x) \ by \ y \\ \\ y=6x^4 \\ \\ Interchange \ x \ and \ y: \\ \\ x=6y^4 \\ \\ Solve \ for \ y: \\ \\ y^4=\frac{x}{6} \\ \\ Solving \\ \\y=\pm \sqrt[4]{\frac{x}{6}} \\ \\ \boxed{y=\pm \left(\frac{x}{6}\right)^{\frac{1}{4}}}

and this is not a function because there are elements in the set of inputs that match with two elements in the set of outputs.

5 0
3 years ago
Read 2 more answers
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