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3 years ago

Complete the equation of the line through (3, -1) and (4, 7)

Mathematics

1 answer:

nikitadnepr [17]3 years ago

4 0

Answer:

y = 8x -25

Step-by-step explanation:

The two-point form of the equation of a line can be used.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (7-(-1))/(4-3)(x -3) +(-1)

y = 8(x -3) -1

y = 8x -25 . . . . slope-intercept form of the equation

_____

We don't know what you're starting with, so we don't know how to "complete the equation." Perhaps the above equation is sufficient for the task.

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Solve 3x² + 4x = 2. (2 points)

uysha [10]

Answer:

Step-by-step explanation:

As it is a second order equation, it means that it has two possible answers and they are $x_1$ and $x_2$ .

The famous quadratic formula for solving any second order equation is the following:

$x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}$

Where a is the coefficient of $x^2$ , b is the coefficient of x, and c is the free term. In other words,

$a = 3\\b=4\\c=-2$

as the equation should be in the following form:

$a x^2 + bx+c = 0$

Therefore the possible answer should be the following,

$\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}$ $\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}$

by dividing the numerator and denominator by 2, we can deduce the following,

6 0

2 years ago

Create an expression that simplifies to sin x

Dimas [21]

Answer:

$2\cdot \sin 0.5x \cdot \cos 0.5x$

Step-by-step explanation:

Here is one example:

$2\cdot \sin 0.5x \cdot \cos 0.5x$

$\sin 0.5x \cdot \cos 0.5x + \cos 0.5x\cdot \sin 0.5x$

$\sin (0.5x + 0.5x)$

$\sin x$

4 0

3 years ago

Solve for x: 3|2x + 41 - 2 = 22

krek1111 [17]

Answer:

Your answer is x= −17/32

7 0

2 years ago

Which complex number lies below the real axis and to the right of the imaginary axis?

Luba_88 [7]

To the right of the inaginar axis means the real part of a+bi is positive
below real axis means the inaginary part of a+bi is negative
a is real part
bi is imaginary part
so it should look like

a-bi

answer is B

8 0

2 years ago

Read 2 more answers

Two sides of a triangle have the measures 7 and 10. Is it true or false that the range of possible measures for the third side i

adelina 88 [10]

Answer:

True

Step-by-step explanation:

We know that The triangle inequality states that the sum of the two sides of the triangle is always greater than the third side.

Here given that two sides of the triangle are 7 and 10

Let the third side be x

Here a = 7 , b = 10 , c = x

According to the triangle inequality

a + b > c

7 + 10 > x

x < 17

Also c + b > a

x + 10 > 7

x > -3

Also a + c > b

7 + x > 10

x > 3

Combining all the above results we get

3 < x < 17

All the values of x in the above region forms a triangle

Given x values lies in the region so they form a triangle

4 0

3 years ago

Complete the equation of the line through (3, -1) and (4, 7)​

Complete the equation of the line through (3, -1) and (4, 7)