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zubka84 [21]
3 years ago
11

Plzz any help please​

Mathematics
1 answer:
butalik [34]3 years ago
3 0

Answer:

9

Step-by-step explanation:

If the sine of an angle is equal to the cosine of an angle, that means that the sides adjacent and opposite to that angle are equal. One triangle that has two equal sides is an isosceles triangle. We can set this triangle to be a 45-45-90 degree triangle, which means that the angle would be 45.

Now, we have to find the value of

4\tan^2(45)

and

5\tan(45)

The tangent of 45 is 1, so 1 squared times 4 is 4.

We have 4\tan^2(45) = 4.

Again, the tangent of 45 is 1, and 1 times 5 is 5.

We have 5\tan(45) = 5

5 + 4 = 9

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What is the equation of the line?
spin [16.1K]

Answer:

y=1/2x+2

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(0,2) and (-4,0).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (0,2), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=0 and y1=2.

Also, let's call the second point you gave, (-4,0), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-4 and y2=0.

Now, just plug the numbers into the formula for m above, like this:

m= 0 - 2-4 - 0 or... m= -2-4 or... m=1/2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=1/2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(0,2). When x of the line is 0, y of the line must be 2.

(-4,0). When x of the line is -4, y of the line must be 0.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (0,2) and (-4,0).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(0,2). y=mx+b or 2=1/2 × 0+b, or solving for b: b=2-(1/2)(0). b=2.

(-4,0). y=mx+b or 0=1/2 × -4+b, or solving for b: b=0-(1/2)(-4). b=2.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(0,2) and (-4,0)

is

y=1/2x+2

4 0
3 years ago
from the line y=2x-10 find the equation of the line that is perpendicular to this line and goes through the point (9,-5)
creativ13 [48]
2 is the slope so the slope perpendicular to that is -1/2 (negative reciprocal)
-5=-1/2(9)  9*-1/2=-4.5 and -4.5 - 0.5 = -5 so the equation for the line is y=-1/2x -0.5
5 0
3 years ago
Topic: Parallel and Perpendicular Lines
Eddi Din [679]

Answer:

Step-by-step explanation:

an equation perpendicular to the equation given will have a slope of -1, because a perpendicular slope is opposite and reciprical. if it goes through the point 4,-1 and has a slope of -1, the y intercept has to be 3. y = -x + 3

parallel lines have to have the same slope of 3.

3 0
3 years ago
Olivia is buying bundles of wood for a campfire.The bundles of wood can't be split up.if each bundle costs $3,how many bundles c
victus00 [196]

Answer:

3    

1 $ left over

Step-by-step explanation:

       

                                 10$

         wood              wood                wood  

           3$                      3$                    3$

          she wood only buy 3 and have 1$ left

3 0
2 years ago
Find the vertex and focus of the parabola x^2+14x-8y+65=0
pshichka [43]

Answer:

heres the graph i don't rly understand this all but mabe it will help

Hope This Helps!!!

4 0
2 years ago
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