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2 years ago

Match the information on the left with the appropriate equation on the right.

Mathematics

1 answer:

Slav-nsk [51]2 years ago

5 0

The equation of the line passing the points (-2,3),(-3,4) is y = -x + 1 or x+y = 1

<h3>Equation of a line</h3>

A line is the shortest distance between two points. The equation of a line in slope-intercept form is expressed as;

y = mx + b

m is the slope

b is the y-intercept

Given that m=1, b=-3, the required equation will be y = x - 3 or x - y = 3

For the parameter m=1, (-1,2)

y - 2 =1(x+1)

y - 2 = x+1

y =x + 3

Hence the equation of the line for the parameters m=1, (-1,2) is y = x + 3

For the coordinates (-2,3),(-3,4)

Slope = 4-3/-3+2
Slope = -1

For the intercept;

4 =-1(-3) + b

b = 4 - 3

b = 1

Hence the equation of the line passing the points (-2,3),(-3,4) is y = -x + 1 or x+y = 1

Learn more on equation of a line here: brainly.com/question/18831322

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Suppose that cos = 12/13 what is sin what is cos 2

riadik2000 [5.3K]

First, some housekeeping:

cos = 12/13 is incomplete; "cos" must have an argument (input).

cos x = 12/13 is fine; here "cos" has the argument (input) x.

Given that cos x = 12/13, find sin x. To do this, we'll need to find the length of the opposite side, given that the hypo length is 13 and the adj. side length is 12.

12^2 + opp^2 = 13^2, or opp^2 = 169-144 = 25.

Then the opp side could be either 5 or -5. Let's assume that it's +5, and that angle x is in the first quadrant.

Then sin x = opp / hyp = 5/13 (answer)

cos 2 is an entirely different kind of problem. Here you are told what the argument (input) to the cosine function is (it is 2, which here means 2 radians).

Using a calculator: cos 2 = -0.416. Note that the angle 2 rad is in QII, which is why the "adjacent side" is negative and also why the cos of 2 is negative.

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3 years ago

PLZ HELP!!! WILL GIVE BRAINLIEST. An egg is dropped from a height of 90 ft. If acceleration due to gravity is -16 ft/s^2 and ini

sweet-ann [11.9K]

Answer:

It is B)

Step-by-step explanation:

IK its B because if the egg is dropped from o height of 90 ft the egg would take 2.4 seconds

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3 years ago

Segments AB, DC and Ec intersect at point C. Angel DCE measures 148. Find the value of x.

Anna71 [15]

The image is attached.

Answer:

x = 16°

Step-by-step explanation:

Segment AB, segment DC and segment EC all intersect at point C.

Here, we are told angle DCE measures 148°.

This is a semi-circle, and the total angle of a semi-circle is 180°.

Which means, x+x+148 = 180

Solving for x, we have:

x+x+148 = 180

2x + 148 = 180

2x = 180 - 148

2x = 32

$x = \frac{32}{2}$

x = 16°

The value of x is 16°

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3 years ago

Find an equation of variation in which y varies directly as x and y = 12 when x = 6

Margarita [4]

Direct variation:-

y = kx where k is a constant

y=12 when x=6 so we have:-

12 = k*6

k = 12/6 = 2

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3 years ago

James has worked full time as an entry-level web designer since earning his certification. He

Norma-Jean [14]

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Monthly income calculation

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Savings ${}$ $944. $\overline 6$

Learn more about how to make a budget here:

brainly.com/question/14080312

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3 years ago