All categories

3 years ago

Solve the equation. Check your answer. 17 = 4x + 3 = 2x (Simplify your answer.

Mathematics

1 answer:

frutty [35]3 years ago

5 0

Answer:

7/2

Step-by-step explanation:

17=4x+3

4x=17-3

4x=14

x=14/4

x=7/2

You might be interested in

PLEASE Help ASAaP will give brainlist

pychu [463]

Answer: yes they probably are because they can be any size

3 0

3 years ago

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

$m_ {1} * m_ {2} = - 1$

The given line is:

$5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3$

So we have:

$m_ {1} = \frac {5} {2}$

We find $m_ {2}:$ $m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}$

So, a line perpendicular to the one given is of the form:

$y = - \frac {2} {5} x + b$

We substitute the given point to find "b":

$-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2$

Finally we have:

$y = - \frac {2} {5} x-2$

In point-slope form we have:

$y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)$

ANswer:

$y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)$

3 0

3 years ago

Read 2 more answers

A T R C CR-12 cm RE 11 TI- IV. VE- CE EA AT

Afina-wow [57]

Answer:

i think those are cord nits correct me if im wrong i might be

Step-by-step explanation:

5 0

3 years ago

Write the equation of the line perpendicular to 3x+2y=-8 that passes through (3,1). Write you answer in slope-intercept form. Sh

Verdich [7]

Answer:

y = (2/3)x - 1, slope-intercept form

Step-by-step explanation:

3x + 2y = - 8

2y = -3x - 8

y = (-3/2) x - 4

Slope of this line is -3/2.

For the perpendicular line slope is 2/3.

Point - slope form is

(y - y1) = m(x - x1)

Point is (3,1). Slope m = 2/3.

y - 1 = (2/3)*(x - 3)

y - 1 = (2/3)x - 2

y = (2/3)x - 1, slope-intercept form

3 0

3 years ago

Which of the expressions below can be factored using the difference of squares method?

zlopas [31]

Answer:

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

Step-by-step explanation:

The Difference of Squares Method for Factoring

The expression:

$a^2-b^2=(a-b)(a+b)$

Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.

The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.

The last two choices are not valid because they are not a subtraction but an addition.

The first choice is not valid because none of the terms is a perfect square.

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

4 0

3 years ago

Solve the equation. Check your answer. 17 = 4x + 3 = 2x (Simplify your answer.​

Solve the equation. Check your answer. 17 = 4x + 3 = 2x (Simplify your answer.