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Yuri [45]
2 years ago
10

What is the equation in point-slope form of the line passing through (−2, 1) and (4, 13)? y − 1 = −2(x − 4) y − 1 = 2(x 2) y − 1

3 = −2(x 2) y − 13 = 2(x 4)
Mathematics
1 answer:
babymother [125]2 years ago
7 0
Equation of a line is given by y - y1 = m(x - x1); where m = (y2 - y1)/(x2 - x1) is the slope.
y - 1 = ((13 - 1)/(4 - (-2))(x - (-2))
y - 1 = (12/(4 + 2))(x + 2)
y - 1 = 12/6 (x + 2)
y - 1 = 2(x + 2)
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How many solutions does the system have?
kykrilka [37]

Answer: a

Infinitely many

Step-by-step explanation:

Solve by substitution:

1) Solve y=2x+1 for y:

y=2x+1

2) Substitute 2x+1 for y in -4x+2y=2:

-4x+2y=2

-4x+2(2x-1)=2

3) Simplify both sides of the equation:

2=2

4) Add -2 to both sides of the equation:

2+-2=2+-2

5) Simplify both sides of the equation:

0=0

Therefore, there are infinitely many solutions.

Solve by elimination:

You cannot solve this system by elimination

Solve by graphing:

The 2 equations are on top of each other, therefore, the system of equations has infinitely many solutions.

6 0
2 years ago
Determine the volume of the cylinder
Igoryamba

Answer:

about 904.78

Step-by-step explanation:

πr^2h pi(6)^2 * 8

6 0
3 years ago
How do you find the common ratio of <br>-3, -18, -108, -648 ​
Olegator [25]
The common ratio is 8

example:

-3 x 8 = -18
-18 x 8= -108
so on so on
6 0
3 years ago
For each sentence below, find the value of x that makes each sentence true.
vitfil [10]

<u>ANSWER</u>

1. x=\frac{1}{2}


2. x=1


<u>QUESTION 1</u>

The first sentence is (5^{\frac{1}{5}})^5=25^x.


Recall that;

(a^m)^n=a^{mn}


We simplify the left hand side by applying this property to get;


5^{\frac{1}{5}\times 5}=25^x.


\Rightarrow 5^{1}=25^x.


We now rewrite the right hand side too in an index form to obtain;


\Rightarrow 5^{1}=5^{2x}

We now equate the exponents to get;

\Rightarrow 1=2x.


\Rightarrow \frac{1}{2}=x


\Rightarrow x=\frac{1}{2}.


<u>QUESTION 2</u>

The second sentence is (8^{\frac{1}{3}})^2=4^x


We simplify the left hand side first to get;

(2^{3\times \frac{1}{3}})^2=4^x


2^2=4^x


We now rewrite the left hand side too in index form to obtain;


2^2=2^{2x}

We equate the exponents to get;

2=2x


This implies that;


1=x

or

x=1

4 0
3 years ago
Find the slope of the line that contains (−1, −6) and (−15, 2).
mestny [16]
(8/16) would be the slope
4 0
3 years ago
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