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leonid [27]
2 years ago
8

Different expressions that are equivalent to 2 to the power of -4

Mathematics
1 answer:
QveST [7]2 years ago
7 0

Answer:

1/16

Step-by-step explanation:

2^-4 = 1/2*2*2*2 -> 1/2⁴ -> 1/16

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Select the point that is a solution to the system of inequalities. Y ≤ x+1,Y ≤ x^2-3x
Temka [501]

Point D(0,-2) is a solution of the system of inequalities

Step-by-step explanation:

In order to check if the points are solution of the system of inequalities, we just need to plug the numbers into the inequalities and see if they are verified.

The two inequalities are:

y\leq x+1\\y\leq x^2-3x

The first point is:

A (1,0), so x = 1 and y = 0

Substituting into the two equations:

0\leq 1+1\rightarrow 0\leq 2\\0\leq 1^2 -3\cdot 1 \rightarrow 0\leq -2

We see that the 2nd equation is not verified, so this point is NOT a solution.

The second point is:

B (2,4), so x = 2 and y = 4

Substituting into the two equations:

4\leq 2+1\rightarrow 4\leq 3\\4\leq 2^2 -3\cdot 2 \rightarrow 4\leq 1

None of the two equations is verified, so this point is NOT a solution.

The 3rd point is:

C (-1,2), so x = -1 and y = 2

Substituting into the two equations:

2\leq -1+1\rightarrow 2\leq 0\\2\leq (-1)^2 -3\cdot (-1) \rightarrow 2\leq 4

We see that the 1st equation is not verified, so this point is NOT a solution.

The 4th point is:

D (0,-2), so x = 0 and y = -2

Substituting into the two equations:

-2\leq 0+1\rightarrow -2\leq 1\\-2\leq 0^2 -3\cdot 0 \rightarrow -2\leq 0

Both equations are verified, so this point IS a solution.

Learn more about systems of equations:

brainly.com/question/13168205

brainly.com/question/3739260

#LearnwithBrainly

3 0
3 years ago
Help please!!!!!!!!!!
Anon25 [30]

Answer:

x = 50.53 degrees

Step-by-step explanation:

Q 1

Find length of BD using the sine Rule:-

5.6 / sin 78 = BD / sin 50

BD =  5.6 * sin 50 / sin 78

BD = 4.386 cm

Now consider triangle BDC

m <  BDC = 180 - 78 = 102 degrees

Applying the sine Rule:-

9.3 / sin 102 =  4.386 / sin < BCD

sin BCD =  sin 102 * 4.386 / 9.3

sin < BCD = 0.4613

m < BCD = 27.47 degrees

So m < x =  180 - 102 - 27.47 degrres

=  50.53 degrees






8 0
3 years ago
Heeeeeeeelllllpppp<br>why isnt anyone helping me :(<br>find MK​
Ne4ueva [31]

Answer:

MK=32.5

Step-by-step explanation:

Hey There!

I believe that these triangles are similar

So to find MK we want to find the scale factor

To do this we divide

66/30=2.2

Now we want to divide 72.5 by 2.2

72.5/2.2=32.5

therefore MK=32.5

hope this helps!

8 0
2 years ago
Length of wall is 13.5m calculate the area in cm2 ​
8090 [49]

Answer:

15 Apr 2018 — Area of path parallel to the remaining length of ... Area of parallelogram ABCD = AB × AE = 8 × 4 cm2 ... We can also calculate area of shaded portion by using area of..

3 0
2 years ago
Read 2 more answers
Round 62.475 to the nearest hundredth.
MariettaO [177]
62.48
This is because the 5 turns the 7 into an 8
6 0
3 years ago
Read 2 more answers
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