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allochka39001 [22]
3 years ago
13

State the extremes of the proportion below. 4/7=12/x

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
7 0

\frac{4}{7}  =  \frac{12}{x}  \\  \\ 1. \:  \frac{4}{7}x  = 12 \\  \\ 2. \:  \frac{4x}{7}  = 12 \\  \\ 3. \: 4x = 12 \times 7 \\  \\ 4. \: 4x = 84 \\  \\ 5. \: x =  \frac{84}{4}  \\  \\ 6. \: x = 21

Stels [109]3 years ago
4 0

Answer:

x=21

Step-by-step explanation:

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3 years ago
Find the next 3 terms in the geometric sequence -36, 6, -1, 1/6, ...
timama [110]

we are given

geometric sequence -36, 6, -1, 1/6, ...

first term is -36

a_1=-36

now, we can find common ratio

r=\frac{6}{-36}

r=-\frac{1}{6}

now, we can find nth term

a_n=a_1(r)^{n-1}

now, we can plug values

and we get

a_n=36(-\frac{1}{6})^{n-1}

now, we can find 5th term , 6th term, 7th term

fifth term:

a_5=36(-\frac{1}{6})^{4}

a_5=\frac{1}{36}

sixth term:

a_6=36(-\frac{1}{6})^{5}

a_6=-\frac{1}{216}

seventh term:

a_7=36(-\frac{1}{6})^{6}

a_7=\frac{1}{1296}

so, next terms are

a_5=\frac{1}{36} , a_6=-\frac{1}{216}

, a_7=\frac{1}{1296}.............Answer

6 0
3 years ago
What is 7 x 10^22 in its expanded form?
sammy [17]

Answer:

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Step-by-step explanation:

3 0
4 years ago
ANSWER AND SHOW WORK FOR 40 POINTS
Elanso [62]

Answer:

Q1) (x+7)² = 9

x = -10, -4

Q2) (x-8)² = 144

x = -4, 20

Q3) (x-1)² = 81

x = -8, 10

Step-by-step explanation:

Q1) x² + 14x + 49 = 9

x² + 2(x)(7) + 7² = 9

(x + 7)² = 9

x + 7 = +/- sqrt(9)

x + 7 = 3

x = -4

x + 7 = -3

x = -10

Q2) x² - 16x + 64 = 144

x² - 2(x)(8) + 8² = 144

(x - 8)² = 144

x - 8 = +/- sqrt(144)

x - 8 = 12

x = 20

x - 8 = -12

x = -4

Q3) x² - 2x + 1 = 81

x² - 2(x)(1) + 1² = 81

(x - 1)² = 81

x - 1 =+/- sqrt(81)

x - 1 = 9

x = 10

x - 1 = -9

x = -8

5 0
3 years ago
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What is the slope of the following graph?​
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Answer:

.5

Step-by-step explanation:

3 0
3 years ago
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