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Leviafan [203]
3 years ago
15

Find an equation of the line described below. Write the equation is slope-intercept from ( solved for y), when possible. Through

(5,4), parallel to the x-axis
Mathematics
1 answer:
Sladkaya [172]3 years ago
4 0

Answer:

The equation of the line that is passing through the point (5,4) and is parallel to x-axis would be y=4

Step-by-step explanation:

Given that the line passes through the point (5,4).

As the line is parallel to the x-axis, the slope of the line would be zero.

And we have point (5,4) from which the line is passing.

So, x_1=5\  ,\ y_1=4\ and\ m=0

The equation of the line passing through point (x_1,y_1) is

y-y_1=m(x-x_1)\\y-4=0(x-5)\\y-4=0\\y=4

So, the equation of the line that is passing through the point (5,4) and is parallel to x-axis would be y=4

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Lizette wanted to see if it would be possible to use a little less materials in a tea infuser but still not be required to be at
Oksi-84 [34.3K]

Considering the volume of a rectangular prism, since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

<h3>What is the volume of a rectangular prism?</h3>


The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh.

The original dimensions are:

h = 7.9 cm, l = 3 cm, w = 1.5.

Hence the volume in cm³ was:

V = 7.9 x 3 x 1.5 = 35.55 cm³.

The infuser was filled to 80% capacity, hence:

Vf = 0.8 x 35.55 = 28.44 cm³.

For the new dimensions, we have that h = 7 cm, hence the volume is:

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28.44/31.5 x 100% = 90.29%.

Since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

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