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dangina [55]
3 years ago
5

What is the point-slope form of a line with slope 3 that contains the point (2,1)​

Mathematics
1 answer:
Ilya [14]3 years ago
4 0
<h3>Answer: y - 1 = 3(x - 2)</h3>

Explanation:

The point-slope form is this general template

y - y1 = m(x - x1)

We replace m with the given slope 3, so we get to this

y - y1 = 3(x - x1)

Then replace the given point (x1, y1) with (2, 1) to end up with

y - 1 = 3(x - 2)

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The quotient of the sum of 2t and 2 and twice the cube of s
Vladimir79 [104]

The equation according to the given verbal sentence is \frac{2 t+2}{2 s^{3}} (after solving this \frac{t+1}{s^{3}} ).

<u>Step-by-step explanation:</u>

Rewrite the given verbal sentence and so it will be easier to translate.

Given: The quotient of the sum of 2 t and 2 and twice the cube of s

sum of 2 t and 2 can be written as

       2 t + 2

twice the cube of s

      2 s^{3}

Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s  means,

             2 t + 2  divided by 2 s^{3}

Now, the equation would be \frac{2 t+2}{2 s^{3}}

When solving this equation, we get

         \frac{2(t+1)}{2 s^{3}}=\frac{t+1}{s^{3}}

8 0
3 years ago
.please help me with this I will crown you brainlest
Marizza181 [45]
You can prove it by the SAS postulate which should be the first option
4 0
3 years ago
Read 2 more answers
During each of the past three months, Tyler grew
nataly862011 [7]
First you have to make all the fractions have a common denominator to add them so since 3/16 is the largest denominator you have to convert the others to have the denominator of 16. 1/8 = 2/16. 1/4 = 4/16. so if you add the numerators that’s 3 + 2 + 4 = 9. so the answer would be 9/16, and this cannot be simplified so it is your final answer:)
4 0
3 years ago
How do you solve this step by step??
KonstantinChe [14]

Answer:

Step-by-step explanation: 6x+5x=3x+2x-54

                                               11x=5x-54

                                                +5x  +5x

                                                   16x=54

                                                     16    16

                                                       x=3.375

3 0
3 years ago
If cosθ=2/3 find cscθ using identities. This is in quad. 1.
laiz [17]

Step-by-step explanation:

  • cos θ = 2/3

\quad \twoheadrightarrow\sf {cos \; \theta = \dfrac{Base}{Hypotenuse} } \\

Hence, base = 2 units and hypotenuse = 3 units.

\quad \twoheadrightarrow\sf { H^2 = B^2 + P^2} \\

\quad \twoheadrightarrow\sf { P^2 = H^2 - B^2} \\

\quad \twoheadrightarrow\sf { P^2 = (3)^2 - (2)^2} \\

\quad \twoheadrightarrow\sf { P^2 = 9- 4} \\

\quad \twoheadrightarrow\bf { P = \sqrt{5}} \\

Now, we know that :

\quad \twoheadrightarrow\sf {cosec \; \theta = \dfrac{Hypotenuse}{Perpendicular} } \\

\quad \twoheadrightarrow\bf{cosec \; \theta = \dfrac{3}{\sqrt{5}} } \\

Therefore, the required answer is 3/√5.

4 0
2 years ago
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