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3 years ago

Determine if the equations are parallel, perpendicular, or neither

Mathematics

1 answer:

Gala2k [10]3 years ago

5 0

Answer: Perpendicular.

Step-by-step explanation:

If you multiply the slopes together you will get -1:

$3 * -\frac{1}{3} = -1$

<em>Parallel means they have the same slope, so that is easily ruled out here.</em>

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If cos(t)= <img src="https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B9%7D" id="TexFormula1" title="-\frac{4}{9}" alt="-\frac{4}{9}" al

Anna35 [415]

<h3>Answer:</h3><h3>cos(-t) = -4/9</h3><h3>sec(-t) = -9/4</h3>

Explanation:

Since cosine is an even function, we can say cos(-t) = cos(t) for all values of t. So this explains why cos(-t) = cos(t) = -4/9. No change happens.

To find the secant value, we apply the reciprocal. This is because sec = 1/cos. So that's how -4/9 flips to -9/4.

8 0

4 years ago

A preimage includes a line segment of length x and slope m. If the preimage is dilated by a scale factor of n, what are the leng

harkovskaia [24]

The corresponding line segment is B. because the slope does not change. A dilation will always have the effect of shrinking or even stretching the line segment by the factor of n. That is why the length will nx and the slope is m.

Hope this helped.

6 0

4 years ago

A number is divided by 3. Then, 5 is added to the quotient, and the result is 8. What is the number?

Sergeu [11.5K]

Answer:

D. 9

Step-by-step explanation:

1. 9/3 = 3

2. 3+5 = 8

Result = 8

8 0

4 years ago

Parallelogram ABCD is given. Draw line EF so that it goes through the vertex A. Point E lies on the side BC and point F lies on

tresset_1 [31]

Answer:

The proof is explained step-wise below :

Step-by-step explanation :

For better understanding of the solution see the attached figure :

Given : ABCD is a Parallelogram ⇒ AB ║ DC and AD ║ BC

Now, F lies on the extension of DC. So, AB ║ DF

To Prove : ΔABE is similar to ΔFCE

Proof :

Now, in ΔABE and ΔFCE

∠ABE = ∠FCE ( alternate angles are equal )

∠AEB = ∠FEC ( Vertically opposite angles )

So, by using AA postulate of similarity of triangles

ΔABE is similar to ΔFCE

Hence Proved.

7 0

3 years ago

What is the wavelength of a photon with an every of 3.38x 10^-19 J

Alexxandr [17]

From the attached graphic:
e = c*h/wavelength therefore,
wavelength = c*h / e
wavelength = 299,792,458 * 6.62606957e-34 / 3.38x10^-19
wavelength = 5.8771e-7 meters

4 0

3 years ago