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Elan Coil [88]
3 years ago
12

What's is an equation of the line that passes through the point(-3,-1) and is perpendicular to the line x-2y=6

Mathematics
1 answer:
katrin2010 [14]3 years ago
6 0

Answer:

y+1=-2(x+3)

Step-by-step explanation:

Slope is negative reciprocal when two lines are perpendicular

m1=1/2 therefore m2=-2

The equation of the line in point-slope form is given as

y-y_1=m_2(x-x_1)

Here m=-2 and (x1, y1)=(-3, -1)

Therefore,

y+1=-2(x+3)

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An engineer is trying to design a runway for an airport. He knows that airplanes have the ability to accelerate at 3.3 m/s ^ 2 a
chubhunter [2.5K]

Answer:

The proposed 1600 meters runway length is not long enough

Step-by-step explanation:

The given parameters are;

The amount by which a plane can accelerate = 3.3 m/s²

The time it takes for a plane to lift off the ground = 35 seconds

The length of the runway on the blueprint = 1,600 meters

Therefore, from the equation of motion for distance traveled, s, acceleration, a, and time taken, t, we have;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity

t = 35 seconds

a = 3.3 m/s²

Given that all planes will start motion from rest, we have;

u = 0 m/s

Therefore;

s = 0 × 35 + 1/2 × 3.3 × 35² = 2021.25 meters

Which indicates that the length of the runway a plane would need for take off should be at least 2021.25 meters long, therefore, the blueprint's 1600 meters runway length is not long enough.

7 0
3 years ago
PLS I NEED HELP NOW!!!
xz_007 [3.2K]

Answer:

The third answer

Step-by-step explanation:

Rate of change is slope which is 10 for the first one and you can use rise over run to find slope for the graph

3 0
3 years ago
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Consider the graph shown below. The maximum value of this function is.
AysviL [449]

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where is the graph please?

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2 years ago
Angle C and angle D are supplementary. If the measure of angle D is 84 degrees, what is the measure
garik1379 [7]

Suplementary is angles add up to 180 degrees

C=180-D

C=180-84

C=96 degrees

Hope this helped :)

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Pick the description of a geometric object that best matches the real-world object:<br><br> tent
Elodia [21]

Answer:

Triangular Prism

Step-by-step explanation:

We are given the object 'Tent' and are required to find a 3D object resembling it.

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A triangular prism has two similar triangular bases and three rectangular sides as shown in the figure below.

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