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3 years ago

Solve for x and y simultaneously if:x+4=2y and y2-xy+21=0

Mathematics

1 answer:

salantis [7]3 years ago

5 0

Answer:

Step-by-step explanation:

x=−10, y=−3

x=10, y=7

y=7,x=10

y=−3,x=−10

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Hanukkah is an eight day Jewish cele bration which is observed in November or December, as determined by the Hebrew calendar. On

tatiyna

Answer:

30 feet

Step-by-step explanation:

Interesting question.

1 cubit = 18 inches
20 cubits = x
1/20 = 18/x Cross multiply
x = 20 * 18
x = 360 inches.

The maximum height is 360 inches.

1 foot = 12 inches
x feet = 360 inches Cross multiply
12x = 360 * 1
12x/12 = 360/12
x = 30

The maximum height reached was 30 feet.

6 0

3 years ago

Read 2 more answers

Find the midpoint between (-1+9i) and B=(5-3i)

sdas [7]

Answer:

2 + 3i, midpoint is (2,3)

Step-by-step explanation:

we need to find the midpoint between (-1+9i) and B=(5-3i)

To find the midpoint of two points (a+bi) and (c+di) in a complex plane,

we apply formula

$\frac{a+c}{2} + \frac{b+d}{2} i$

A = (-1+9i) and B=(5-3i)

Midpoint for AB is

$\frac{-1+5}{2} + \frac{9+(-3)}{2}i$

$\frac{4}{2} + \frac{6}{2}i$

2 + 3i , so midpoint is (2,3)

8 0

3 years ago

Read 2 more answers

Write the place vslue of 7in 67,689

Tems11 [23]

The value of 7 can be wrote as

7,000 or seven thousand

8 0

4 years ago

Determine the period of the function g(x) = (cos ;)

Romashka [77]

Answer:

6 $\pi$

Step-by-step explanation:

The period of a sinusoidal function in the form a * cos (b (x + h)) + m is $\frac{2\pi }{|b|}$ . Therefore, we can see that "b" in g(x) is 1/3 and 1/3 substituted into $\frac{2\pi }{|b|}$ is 2 $\pi$ /1/3 which is 6 $\pi$ .

5 0

3 years ago

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

4 years ago

Solve for x and y simultaneously if:x+4=2y and y2-xy+21=0​

Solve for x and y simultaneously if:x+4=2y and y2-xy+21=0