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3 years ago

Which statement is NOT true?

2 answers:

iogann1982 [59]3 years ago

4 0

C."<em>Two lines lie in one plane if and only if the lines are parallel" </em>is a wrong statement.
To lie in the one same plane, the two lines need not be parallel.
So, the answer is option C.

laila [671]3 years ago

4 0

Answer:

A. If two coplanar lines do not intersect, then the lines are parallel. This is true. Two lines are parallel lines if they are coplanar and do not intersect.

B. Two lines lie in one plane and do not intersect if and only if the two lines are parallel. This is true. Only parallel lines lying in a plane do not intersect.

C. Two lines lie in one plane if and only if the lines are parallel. This is false. Two lines in the same 3 d space which do not intersect need not be parallel. They are parallel only if they lie in a common plane. If not, they are called skew lines.

D. If two lines are parallel, then they lie in one plane and do not intersect. Yes this is true.

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Write the standard form of the line that passes through (-1,-3) and (2,1)

Pie

Answer:

$5 = - 2x - y$
To find this you must find the slope first:
$\frac{y - y1}{x - x1}$
which is, after performing some calculating is -2.

Next you need to set up your eqaution:
$y - y1 = m(x - x1)$
when you set it up, and substitute the variables for your slope and points you should get this:
$y - ( - 3) = - 2(x - 1)$
$y + 3 = - 2x - 2$
add 2 to both sides
$y + 5 = - 2x$
subtract y from both sides
$5 = - 2x - y$

6 0

3 years ago

Which statement is ALWAYS true?

Georgia [21]

Answer: n .

Step-by-step explanation:Tell me if answer did not show it has been doing that for me

8 0

3 years ago

What is the sum of all even numbers 0-175 in algebraic form? If n49=99

Mila [183]

Answer:

$S_{88}=7656$

Step-by-step explanation:

We want to find the sum of all even numbers from 0 to 175.

The series will be:

$0+2+4+6+...+174$

The explicit formula for this is $a_n=2n-2$ , where $n\ge1$ .

We need to find how many terms are there.

$2n-2=174$

$2n=176\\n=88$

The sum of terms is given by:

$S_n=\frac{n}{2}(a_1+l)$

Substitute n=88, $a_1=0$ and l=174 to get:

$S_{88}=\frac{88}{2}(0+174)\\S_{88}=44*174\\S_{88}=7656$

7 0

4 years ago

Vivek graphs the equation y = 1/4x^2 and y = -1/2x + 2 to solve the equation 1/4x^2 = -1/2x + 2. His graph is shown below.

DedPeter [7]

2 and -4 are the solutions

3 0

4 years ago

Read 2 more answers

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.

Allushta [10]

Answer:

The y-intercept of AB is y=4/3, the x-coordinate of the poit C is 4, the equation of the line that goes through BC is $6x-11=y$

Step-by-step explanation:

To find the y-intercept of AB we first have to find the equation of the line that goes through this segment.

We firt compute the slope of the segement which is given by

$m_1 = \dfrac{y_B - y_A}{x_B - x_A}= \dfrac{1-(-1)}{2-14} =\dfrac{-1}{6}$

Using this we can compute the equation of the line through AB using the point B=(2,1) and the formula

$\dfrac{-1}{6}=\dfrac{1-y}{2-x}$

we solve the last equation for $y$ and so we get

$y=\dfrac{-x}{6}+\dfrac{4}{3}$

The y-intercept of AB is the point in the line with x-coordinate equals to 0. Hence, the y-intercept is

$y(0) = \frac{-0}{6}+\frac{4}{3}=\frac{4}{3}$

Now, since the segments AB and BC are perpendicular, the slope of the line that goes through the segment BC is

$m_2 = -\dfrac{1}{m_1}=-\dfrac{1}{-\frac{1}{6}}=6$

Usinge the slope $m_2$ and knowing that the line goes through the point B=(2,1), to find the equation of the line through the segmen AC we use the following formula

$6=\dfrac{y-1}{x-2}$

we solve the equation for y and we get the equation

$y=6x-11$

Finally, to compute the x-coordinate of the point C we use the last equation and the fact that the y-coordinate is 13, it holds that

$13 = 6 x - 11 \quad \Rightarrow \quad x = \dfrac{13 + 11}{6}=\dfrac{24}{6}=4$

7 0

3 years ago

Read 2 more answers