Mathematics: Which of the following has no solution?

Which of the following has no solution?

Ответ:

corbin3582

10.01.2022

Mathematics

see below

Step-by-step explanation:

Option 1: the two solution sets overlap at x=1.

Option 2: the two solution sets do not overlap; no solution.

Option 3: together, the two set describe all real numbers.

0,0(0 оценок)

Ответ:

jonathanvega424

28.04.2022

Mathematics

Given:

A new four way intersection is being constructed in New York Hyde park through point P(-3,-15).

Equation of line of one road : $y=-\dfrac{3}{4}x+7$ .

New road that will run perpendicular to the first road

To find:

The equation of line for the new road.

Solution:

The slope intercept form of a line is

y=mx+b

where, m is slope and b is y-intercept.

We have,

$y=-\dfrac{3}{4}x+7$

Slope of this line is $-\dfrac{3}{4}$ and y-intercept is 7.

Product of slopes of two perpendicular line is -1.

$m_1\times m_2=-1$

$-\dfrac{3}{4}\times m_2=-1$

$m_2=\dfrac{4}{3}$

The point slope form of a line is

y-y_1=m(x-x_1)

where, m is slope.

The slope of new line is $\dfrac{4}{3}$ and it passes through P(-3,-15). So, the equation of line of new road is

$y-(-15)=\dfrac{4}{3}(x-(-3))$

$y+15=\dfrac{4}{3}(x+3)$

$y+15=\dfrac{4}{3}x+4$

Subtract 15 from both sides.

$y=\dfrac{4}{3}x+4-15$

$y=\dfrac{4}{3}x-11$

Therefore, the equation of the line representing the new road is $y=\dfrac{4}{3}x-11$ .

0,0(0 оценок)

Which of the following has no solution?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question