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Marta_Voda [28]
1 year ago
14

write the equation of the line that satisfies the given conditions.give the equation (a) in the slope-intercept form and (b) in

standard form. through (-5,7); perpendicular to x=8
Mathematics
1 answer:
nekit [7.7K]1 year ago
4 0

In order for a line to be perpendicular to another, the product between the slopes needs to be equal to -1.

since the line x=8 is a vertical line and does not have a slope multiplying a variable, the perpendicular line needs to be a horizontal line.

the general equation for a horizontal line:

y=c

if it needs to pass through the point (-5,7), the y-coordinate will determine the equation

y=7

Answer:

y=7

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lesantik [10]

Answer: 64°C

Step-by-step explanation:

Official all-time high temperature = 43°C

Official all-time low temperature = –21°C

The difference between the two temperatures will be calculated by subtracting the low temperature from the high temperature. This will be:

= 43°C - (-21°C)

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6 0
3 years ago
Find the approximate value of each trigonometric function.
vodka [1.7K]

Answer:

<u>Given</u>

  • tanθ = 3.454
  • θ is in the III quadrant

We know in the III quadrant both sine and cosine are negative.

<u>Use the following identities to get values of sinθ and cos θ</u>

  • sinθ = - tanθ/√(1 +tan²θ)
  • cosθ = - 1/√(1 +tan²θ)

<u>Substitute the value of tanθ and find sine and cosine:</u>

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5 0
3 years ago
Read 2 more answers
1. Triangle STU with vertices S(-4, 2) T(5, -1),
Alexus [3.1K]

Answer:

S’ (-5,-3)

T’ (4,-6)

U’ (-3,-7)

Step-by-step explanation:

Basically, we want to apply the given transformation rule of the axes to get the coordinates of the images

The rule is that we subtract 1 from the x-coordinates and also subtract 5 from the y-coordinates

Thus, we proceed as follows;

S’ = (-4-1, 2-5) = (-5,-3)

T’ = (5-1, -1-5) = (4,-6)

U’ = (-2-1,-2-5) = (-3,-7)

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3 years ago
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Answer:

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3. Normal space refers 3 dimensional space that extends beyond the three dimensions of length, width, and height.


4. If you can move backward, forwards, up and down in two different directions it is considered two dimensional. The two dimensional figure is considered a plane. For example, if you took a piece of paper that extended forever in every direction, that in a geometric a sense, is a plane. The piece of paper itself is itself, finite, and you could call the piece of paper a plane segment because it is a segment of an entire plane.

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g \geqslant 5
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