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2 years ago

Solve the following quadratic equation for all values of x in simplest form. 2(x – 5)^2 = 32

Mathematics

1 answer:

Vadim26 [7]2 years ago

6 0

x1=1 and x2=9 Whenever you see x put the two answers there and it’s equal to 32.... I hope it helped???? :)

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What is the difference between the measured values 1.05 and 1.050?

Black_prince [1.1K]

There is no difference. Both mean the same measurement except that 1.050 is presented in 4 significant figure and 1.05 in 3 significant figure.

4 0

2 years ago

Read 2 more answers

Find S12 for geometric series: (-7.5) + 15 + (-30) + ...

kolezko [41]

Answer:

S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

Step-by-step explanation:

Given the sequence to find the sum up-to 12 terms

$(-7.5) + 15 + (-30) + ...$

As we know that

A geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$\frac{15}{\left(-7.5\right)}=-2,\:\quad \frac{\left(-30\right)}{15}=-2$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=-2$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=\left(-7.5\right)$

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=\left(-7.5\right)\left(-2\right)^{n-1}$

$a_n=-\left(-2\right)^{n-1}\cdot \:7.5$

$\mathrm{Geometric\:sequence\:sum\:formula:}$

$a_1\frac{1-r^n}{1-r}$

$\mathrm{Plug\:in\:the\:values:}$

$n=12,\:\spacea_1=\left(-7.5\right),\:\spacer=-2$

$=\left(-7.5\right)\frac{1-\left(-2\right)^{12}}{1-\left(-2\right)}$

$=-7.5\cdot \frac{1-\left(-2\right)^{12}}{1+2}$

$\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=-\frac{-30712.5}{1+2}$ ∵ $\left(1-\left(-2\right)^{12}\right)\cdot \:7.5=-30712.5$

$=-\frac{-30712.5}{3}$

$=\frac{30712.5}{3}$

$=10237.5$

Thus, S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

5 0

3 years ago

The point K lies on the segment JL.

vlabodo [156]

Answer:

( -9, 5)

Step-by-step explanation:

We can observe that x coordinate increases on line segment JL from J and y coordinate decreases.

The difference in x:

-18 - 3 = -21

The difference in y:

17 - (-11) = 28

Point K is at 3/7 distance from J, so it's coordinates will be:

-18 -(-21*3/7) = -18 + 9 = -9

17 - (28*3/7) = 12- 7 = 5

So K = ( -9, 5)

6 0

3 years ago

11^9–11^8+11^7 is divisible by 3 and 37.

vodomira [7]

11^9 -11^8 + 11^7 = 2163075981

2163075981/3 = 721025327

2163075981/37 = 58461513

Yes it is divisible by both 3 and 37

7 0

3 years ago

PLS HELP ME RN I AM FAILING AND NEED HELP ITS PYTHAGOREAN THEOREM

jekas [21]

Answer:

9.89949 or 9.9

Step-by-step explanation:

7^2 + 7^2 = c^2

49+49=98

square root of 98 = 9.89949

5 0

2 years ago

Read 2 more answers