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Blababa [14]
2 years ago
8

SOS HELPPPP

Mathematics
1 answer:
Hunter-Best [27]2 years ago
5 0

Answer:

18

Step-by-step explanation:

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If CDE ~ GDF, find ED
qaws [65]

Answer:

10

Step-by-step explanation:

\triangle CDE \sim \triangle GDF.. (given) \\\\\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\\therefore  \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore   \: 15 \times 4 = (x + 3)(3x + 1) \\  \\ \therefore   \: 60 = 3 {x}^{2}  + x + 9x + 3 \\  \\ \therefore  3 {x}^{2}  + 10x + 3 - 60 = 0 \\ \therefore  3 {x}^{2}  + 10x  - 57 = 0 \\ \therefore  3 {x}^{2}  + 19x - 9x  - 57 = 0 \\ \therefore   \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore   \:  (3x + 19)(x - 3) = 0 \\ \therefore   \: 3x + 19 = 0 \:  \: or \:  \: x - 3 = 0 \\  \therefore   \: x =  -  \frac{19}{3}  \:  \: or \:  \: x = 3 \\  \because \: x \: can \: not \: be \:  - ve \\ \therefore   \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1  \\ \huge \red{ \boxed{ ED= 10}}

7 0
3 years ago
PLEASE HELP DUE TOMORROW!!!!!!​
vampirchik [111]

Answer:

X=35

Step-by-step explanation:

X=35 because a straight line is 180 degrees. Take away 60 degrees and you're left with 3x + 15 = 120. Simplify to 3x=105, and then divide 3x by 3. Do the same to the other side. X will now equal 35. Hope this helps :)

7 0
3 years ago
Factorise x cube -2x square -5x plus 6
zepelin [54]

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

7 0
3 years ago
Find the area and the circumference of the circle. Round your answers to the nearest hundredth.
Alik [6]

Answer:

area = 200.96  \: {units}^{2}  \\ circumfrence = 50.24 \: units

Step-by-step explanation:

The formula to find the area and circumference of a circle is:

area = \pi {r}^{2}  \\ circumfrence = 2\pi \: r

<em>*</em><em>no</em><em>te that pi is 3.14*</em><em> </em>Therefore the area is:

formula = \pi {r}^{2}  \\ 3.14 \times  {8}^{2}  =  \\ 3.14 \times 64 = 200.96

Therefore the circumference is:

formula = \: 2\pi \: r \\ (2)(3.14)(8) =  \\ 3.14 \times 16 = 50.24

3 0
2 years ago
Can you graph this equation?<br>0.5s+4a=15<br>is it possible?​
Gwar [14]

Answer: look at the picture of you want me to solve s or a here

Step-by-step explanation: hope this help:)

7 0
2 years ago
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