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3 years ago

What is the value of the 10th term in this arithmetic sequence? 2,5,8,11,...

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

8 0

It looks to be 29, if the rule is to add 3z

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Exercise 6

Lady_Fox [76]

$a)\\\\x^2-2x-4=0\\\\x^2-2x=4\\\\x^2-2x+1^2=4+1^2\\\\(x-1)^2=5\\\\x-1=\pm\sqrt5\\\\\underline{x=\pm\sqrt5+1\approx-1.24\ or\ 3.24}\\\\\\b)\\\\x^2-4x-2=0\\\\x^2-4x=2\\\\x^2-4x+2^2=2+2^2\\\\(x-2)^2=6\\\\x-2=\pm\sqrt6\\\\\underline{x=\pm\sqrt6+2\approx-0.45\ or\ 4.45}$

$c)\\\\x^2+8x+5=0\\\\x^2+8x=-5\\\\x^2+8x+4^2=-5+4^2\\\\(x+4)^2=11\\\\ x+4=\pm\sqrt{11}\\\\\underline{x=\pm\sqrt{11}-4\approx-7.32\ or\ -0.68}\\\\\\x)\\\\x^2+22x-15=0\\\\x^2+22x=15\\\\x^2+22x+11^2=15+11^2\\\\(x+11)^2=136\\\\x+11=\pm\sqrt{136}\\\\\underline{x=\pm\sqrt{136}-11\approx-22.66\ or\ 0.66}$

$e)\\\\x^2-7x+10=0\\\\x^2-7x=-10\\\\x^2-7x+(\frac72)^2=-10+(\frac72)^2\\\\x^2-7x+(\frac72)^2=-10+(\frac72)^2\\\\(x-\frac72)^2=-\frac{20}4+\frac{49}4\\\\ (x-\frac72)^2=\frac{29}4\\\\x-\frac72=\pm\sqrt{\frac{29}4}\\\\ \underline{x=\pm\frac{\sqrt{29}}2+\frac72\approx6.19\ or\ 0.81}\\\\\\f)\\\\x^2+5x-2=0\\\\x^2+5x=2\\\\x^2+5x+(\frac52)^2=2+(\frac52)^2\\\\(x+\frac52)^2=2+6.25 \\\\x+\frac52=\pm\sqrt{8.25}\\\\\underline{x=\pm\sqrt{8.25}-\frac52\approx-5.37\ or\ 0.37}$

$g)\\\\x^2+9x-4=0\\\\x^2+9x=4\\\\x^2+9x+(\frac92)^2=4+(\frac92)^2\\\\(x+\frac92)^2=4+20.25\\\\x+\frac92=\pm\sqrt{24.25}\\\\\underline{x=\pm\sqrt{24.25}-4.5\approx-9.42\ or\ 0.52}$

$h)\\\\x^2-3x-6=0\\\\x^2-3x=6\\\\x^2-3x+(\frac32)^2=6+(\frac32)^2\\\\(x-\frac32)&^2=6+2.25\\\\x-\frac32=\pm\sqrt{8.25}\\\\ \underline{x=\pm\sqrt{8.25}+1.5\approx4.37\ or-1.37}$

3 0

3 years ago

1.<br> Which transformation takes shape Sonto shape M?

Lapatulllka [165]

Box
Too
Box
3m+
Msg ape shape

6 0

3 years ago

Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C?

Shkiper50 [21]

Answer:

107 degrees

Step-by-step explanation:

For an inscribed quadrilateral, the opposite angles are supplementary. Thus, B+D = 180 and you can solve for x.

3x+9+2x-4 = 180

5x = 175

x = 35

Next, plug the x value into angle A.

2(35) + 3 = 73

Angle C is the supplement of this which is 180-73 = 107

6 0

3 years ago

The school PTA would like to raise a minimum of $3.000 n the cookie

ddd [48]

Answer:

200

Step-by-step explanation:

Divide.

3000/15=200

7 0

4 years ago

Read 2 more answers

Jonathon is using a six-sided die to conduct an experiment. What would be the probability that the die would land on the number

crimeas [40]

The probability of landing on a 4 when throwing a die is 1/6.
to find the probability of rolling the same number you have to times this

1/6*1/6*1/6=1/216

hope this helped!

5 0

3 years ago