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3 years ago

Plot points at (0, 0) and (3, 4). Draw a line through the points. What is the slope of your line?

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

8 0

Answer:

4/3

Step-by-step explanation:

slope equation is y2-y1 over x2- x1. resulting in your slope of 4/3

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In order to solve the following system of equations by addition, which of the

Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given system of equations:

$\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}$

To solve the given system of equations by addition, make one of the variables in both equations sum to zero. To do this, the chosen variable must have the same coefficient, but it should be negative in one equation and positive in the other, so that when the two equations are added together, the variable is eliminated.

To eliminate the variable y:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

$\implies -3(4x-2y=7) \implies -12x+6y=-21$

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

$\implies 2(3x-3y=15) \implies 6x-6y=30$

Add the two equations together to eliminate y:

$\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}$

Solve for x:

$\implies -6x=9$

$\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}$

Substitute the found value of x into one of the equations and solve for y:

$\implies 3\left(-\dfrac{3}{2}\right)-3y=15$

$\implies -\dfrac{9}{2}-3y=15$

$\implies -3y=\dfrac{39}{2}$

$\implies y=-\dfrac{39}{2 \cdot 3}$

$\implies y=-\dfrac{13}{2}$

Learn more about systems of equations here:

brainly.com/question/27868564

brainly.com/question/27520807

3 0

2 years ago

Read 2 more answers

17/6 as a mixed number

natta225 [31]

just divide 17 by 6 and you'll get your mixed number:

2 5/6

8 0

3 years ago

Read 2 more answers

Write 0.87 as a fraction in simplest form.

TEA [102]

Write the decimal number as a fraction
(over 1)
0.87 = 0.87 / 1

Multiplying by 1 to eliminate 2 decimal places
we multiply top and bottom by 2 10's

Numerator (N)
N = 0.87 × 10 × 10 = 87
Denominator (D)
D = 1 × 10 × 10 = 100

N / D = 87 / 100

Simplifying our fraction

= 87/100

= 87/100

8 0

3 years ago

The domain of f(x)= (2/3)^x is all negative numbers true or false

Salsk061 [2.6K]

False, probably. cause (2/3)^1 is defined

4 0

3 years ago

Help please! Explain

arlik [135]

Answer:

answer is the first one or the 3rd one

Step-by-step explanation:

hope this helped :b

6 0

2 years ago