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4 years ago

Line N passes through the points (-1,4) and (-1,-4)Which is true of line N?

Mathematics

1 answer:

VLD [36.1K]4 years ago

3 0

Answer:

Line N is a vertical line with an undefined slope

Step-by-step explanation:

To find slope we do (y2-y1)/(x2-x1)

So we do that with (-1,4) and (-1,-4)

(-4-4)/(-1-(-1))

-8/0

Since the denominator is 0, that means the slope is undefined because you cannot divide by 0

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Solve for linear inequality of x - 1 ≥ 4 + x

defon

$\huge\bf{ANSWER:}$

$\huge\mathrm{No\:solution.}\checkmark$

$\huge\bf{SOLUTION}:$

Hey there, hope you are having a wonderful day! :)

Let's solve this inequality.

First of all, let's move all the numbers to the right, using the $\bf{\underline{opposite\:\:operation\:}$ :

$\longmapsto$ $\sf{x-1\geq 4+x$

$\longmapsto\sf{x\geq 4+x+1$

$\longmapsto\sf{x\geq x+5$

Now, let's move the variables to the left:

$\longmapsto\sf{x-x\geq 5$

$\longmapsto\sf{0\geq 5$

Now, as you can see, we ended up with a false statement. 0 is NOT greater than 5.

Thus, there are no values of x that make the inequality true, and the inequality has

$\bold{No\:solutions.}$

Hope you find it helpful.

Feel free to ask if you have any doubts.

$\bf{-MistySparkles^**^*$

8 0

2 years ago

ABCD is a rectangle. The measure of angle BCE is 4x-23 and the angle measure of angle DCE is 5+5x. Find the measure of angle BEC

Temka [501]

<h2>Explanation:</h2><h2></h2>

The diagram for this problem is shown below. Point E is the intersection of the two diagonals and we know that:

$\angle BCE=\beta \\ \\ \angle DCE=\theta$

Every internal angle of any rectangle measures 90 degrees, so:

$\beta +\alpha=90 \\ \\ (4x-23)+(5+5x)=90 \\ \\ \\ Isolating \ x: \\ \\ (4x+5x)+(5-23)=90 \\ \\ 9x-18=90 \\ \\ 9x=108 \\ \\ x=\frac{108}{9}=12$

So:

$\beta=4x-23=4(12)-23=25^{\circ}$

So the measure of angle BEC can be found as follows:

We know that triangle ΔCEB is an isosceles triangle because the diagonals of any rectangle measure the same. So

$\angle EBC=\beta$

The sum of internal angles of any triangle add up to 180 degrees, so:

$\beta + \beta+\angle BEC=180^{\circ} \\ \\ 2\beta+\angle BEC=180^{\circ} \\ \\ \angle BEC=180^{\circ}-2\beta \\ \\ \angle BEC=180^{\circ}-2(25^{\circ}) \\ \\ \angle BEC=180^{\circ}-50^{\circ} \\ \\ \boxed{\angle BEC=130^{\circ}}}$

7 0

4 years ago

If the silver accounts for 84% of the bar's weight, what is the weight of the silver?

lidiya [134]

Weight=8.15 ounces
silver=84%of the total weight
silver=(84/100)×8.15 ounces
silver= 0.84×8.15 ounces
silver=7.5795 ounces
silver=7.580 ounces (rounded to nearest thousandth)

8 0

2 years ago

Find the circumference of this circle.<br><br> 47cm<br><br> 3.14<br><br> 30cm<br><br> 15cm

goldfiish [28.3K]

Answer:

47 cm im nnot sure

Step-by-step explanation:

8 0

3 years ago

How do you solve this

tekilochka [14]

Answer:

Step-by-step explanation:

gradient = (-3+2)/(0-3)

gradient = 1/3

slope intercept form : y = mx + b

m is the gradient which we have found to be 1/3

b is the y intercept that can either be -2 or - 3 (both the y coordinates)

therefore the equation would be y = 1/3 x - 3 (A)

hope this helps :)

3 0

3 years ago