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77julia77 [94]
2 years ago
7

Evaluate the expression

} " alt="2(2 {}^{5)} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Sever21 [200]2 years ago
8 0

{ \large{ \implies{ \sf{2 \times 2 {}^{5} }}}}

{ \large{ \implies{ \sf{2 {}^{6} }}}}

{ \large{ \therefore{ \sf{64}}}}

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Which is an equation of the line that contains the points (0,2) (4,0)
alekssr [168]

Answer:

Y= -1/2x+2

Step-by-step explanation:

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
20% of Aussies have blue
notsponge [240]

Answer:

20

Step-by-step explanation:

Step 1: 4 = 20% × Y

Step 2: 4 = 20/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:

Step 3: Y = 4 × 100/20

Step 4:Y = 4 × 100 ÷ 20

Step 5: Y = 20

6 0
3 years ago
Instructions: Use the image and your knowledge of the<br> isosceles triangle to find the value of 2.
xz_007 [3.2K]

Answer:

x = 36˚

Step-by-step explanation:

  • The 2 base angles in an isosceles triangle are equal
  • Angles in a triangle sum to 180˚
  • x+72+72=180
  • x+144=180
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6 0
2 years ago
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Solve the trigonometric equation<br> 3-3cosx=2 sin^2 x
Zina [86]
= 3 - 3cos x - 2(1- cos^2 x)
= 2cos^2 x - 3cos x + 1
=(cos x -1)(cosx - 1/2)
   now cos x = 1    or cos x= 1/2 
   draw a graph we get = + ve values
  hence .. 0 ,180,360 and 60,240, degrees in range x<2pi 
  
6 0
3 years ago
Eighteen out of every 24 people surveyed say they went to at least one movie in December. what fraction of the people surveyed w
cricket20 [7]

Answer:

3/4

Step-by-step explanation:

18/24

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