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scoray [572]
3 years ago
9

Find the equation is standard form, of the line passing through he points (2,-3) and (4,2)

Mathematics
1 answer:
Simora [160]3 years ago
5 0

The point slope formula:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

(2,\ -3)\to x_1=2,\ y_1=-3\\(4,\ 2)\to x_2=4,\ y_2=2

Substitute:

m=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}=2.5\\\\y-(-3)=2.5(x-2)\\\\y+3=2.5x-5\ \ \ \ |+5\\\\y+8=2.5x\ \ \ \ \ \ |-y\\\\2.5x-y=8\ \ \ \ \ |\cdot2\\\\\boxed{5x-2y=16}

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Put 2 (n^2 + 8n + 16) in standard form
tino4ka555 [31]

Answer: 2n^2 + 16n + 32

Step-by-step explanation:

Distribute 2 to all the terms inside parentheses.

2 (n^2 + 8n + 16)

2n^2 + 16n + 32

Hope this helped!

6 0
2 years ago
AI
Iteru [2.4K]

In order to find the equivalent expression, let's use the following property:

a-(-b)=a+b

In other words, when subtracting a negative number, we can just add the corresponding positive number, that is, switch the two negative signs for a positive sign.

So we have that:

\begin{gathered} 18\frac{1}{5}-(-22\frac{2}{5})-(-40\frac{1}{5}) \\ =18\frac{1}{5}+22\frac{2}{5}+40\frac{1}{5} \end{gathered}

Therefore the correct option is D.

8 0
7 months ago
Write an equation for the function graphed above.
Rus_ich [418]

Where is the graph ??

Please provide the graph so that we can answer your questions ....

8 0
2 years ago
Which of the following is an equivalent expression to: -2(-5x - 8)
exis [7]

Answer:

10x + 16

Step-by-step explanation:

Doing the distributive property, we get the answer 10x + 16.

5 0
2 years ago
Read 2 more answers
1. Given the equation (x – 3)2 – 32 = 17 a)
m_a_m_a [10]
We know that

The square root property<span> is one method that is used to find the solutions to a quadratic equation.  This method involves taking the square roots of both sides of the equation.  
</span>(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> <span>will take the square root of each side
</span>so
√(x – 3)²=(+-)√7²------> <span>notice the use of the </span> sign (+-), this will give us both a positive and<span>  a negative root
</span>
then

x-3=7--------> x=10
x-3=-7-------> x=-4

the answer Part a) is
x=10
x=-4

Part b) Explain why the given equation has two solutions.

the answer part b) is
Because exist<span> the possibility of two roots for every square root, one positive and one negative</span>
6 0
2 years ago
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