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snow_tiger [21]
3 years ago
7

What is the length of DE? 1 unit 3 units 4 1/2 units 4 2/3units

Mathematics
2 answers:
Mila [183]3 years ago
5 0

Answer:

3 units

Step-by-step explanation:

∠A = ∠E   (same arc BD)

∠X share

ΔXDA similar to ΔXBE

XE / XA = XB / XD

(3 + DE) / 9 = 2 / 3

9 + 3DE = 18

3DE = 9

DE = 3

Nookie1986 [14]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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Factorize x3 -2x2 -5x+6
Advocard [28]

Answer: x³-2x²-5x-6=(x-1)*(x-3)*(x+2).

Step-by-step explanation:

x^3-2x^2-5x+6=\\\\x^3-2x^2+x-x-5x+6=\\\\(x^3-2x^2+x)-6x+6=\\\\x*(x^2-2x+1)-6*(x-1)=\\\\x*(x-1)^2-6*(x-1)=\\\\(x-1)*(x*(x-1)-6)=\\\\(x-1)*(x^2-x-6)=\\\\(x-1)*(x^2-x-2x+2x-6)=\\\\(x-1)*(x^2-3x+2x-6)=\\\\(x-1)*(x*(x-3)+2*(x-3))=\\\\(x-1)*(x-3)*(x+2).

5 0
2 years ago
The number of species of coastal dune plants in australia decreases as the latitude, in °s, increases. There are 34 species at 1
Bas_tet [7]

We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.

Further we know that there are 34 species at 11°s and 26 species at 44°s.

We can express the given information at two ordered pairs as shown below:

(n,l)=(11,34)\text{ and }(n,l)=(44,26)

Let us find slope of the line through these points:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{26-34}{44-11}=\frac{-8}{33}=-0.2424

Therefore, we can write the equation of line in slope intercept form as:

n=-0.2424l+b

Where b is the y intercept, and we can find its value using one of the two points.

34=-0.2424(11)+b\\34=-2.67+b\\b=34+2.67=36.67

Therefore, the required equation of the linear function is:

n=-0.2424l+36.67

4 0
4 years ago
Which ordered pairs in the form (x, y) are solutions to the equation 3x – 4y = 21? Choose all answers that are correct.
bekas [8.4K]
A. (−3, 3)
<span>3x – 4y = 21
</span>3(-3) - 4(3) = 21
-21 = 21 >>>>> not equal

B. (−1, −6)
<span>3(-1) - 4(-6) = 21
</span>21 = 21 >>>>>>>>>>Equal

C. (7, 0)
<span>3(7) - 4(0) = 21
</span>21 = 21>>>>>>>>>>equal

D. (11, 3)
<span>3(11) - 4(3) = 21
</span>21 = 21 >>>>>>>>>equal
5 0
3 years ago
Read 2 more answers
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Rudik [331]

Answer:

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Step-by-step explanation:

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So 3^n of the equation would be:
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Compare the 2 equations:
4, 12, 36

3, 9 ,27

The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is: 3^{n-1}.

Combine these 2 equations together and you get:

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6 0
2 years ago
Find missing number sequence 1,2,5,10,13,__,__,58,61
lys-0071 [83]
The pattern is *2 +3 *2 +3 *2 +3 .... 1 *2 = 2 , 2+3 = 5 , 5 *2 = 10, 10 +3 = 13, 13*2 = ?...
7 0
3 years ago
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