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Akimi4 [234]
3 years ago
6

If x=5, what is the perimeter of the rectangle whose length is 6x-4 and whose width is 3x+2? *

Mathematics
1 answer:
strojnjashka [21]3 years ago
8 0

Answer:

86

Step-by-step explanation:

Given, x = 5

length of a rectangle = 6x-4 = 6 * 5 - 4 = 30-4 = 26

width of a rectangle = 3x + 2 = 3 * 5 + 2 = 15 + 2 = 17

Now , finding the perimeter of the rectangle :

Perimeter of a rectangle = 2 ( length + width )

                                          = 2 ( 26 + 17 )

                                          = 2 * 43

                                         = 86

Hope I helped!

Best regards !

- TheAnimeGirl

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Step-by-step explanation:

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7 0
3 years ago
pleaseeee help!!! What is the 21st term in the arithmetic sequence in which a3 is 59 and a7 is 103 (enter only the term)
GuDViN [60]

Answer: 257

Step-by-step explanation:

Given that:

a3 = 59

a7 = 103

The nth term of an Arithmetic Progression (A. P) is given by:

an = a1 + (n-1)d

Where a1 = first term of the sequence ;

d = common difference

Therefore a3 = 59 can be represented thus:

a3 = a1 + (3-1)d = 59

a3 = a1 + 2d = 59 - - - - (1)

a7 = 103

a7 = a1 + (7-1)d = 103

a7 = a1 + 6d = 103 - - - - - (2)

Subtracting (2) from (1)

(2d - 6d) = (59 - 103)

-4d = - 44

d = 11

Substitute d= 11 into (1)

a1 + 2d =59

a1 + 2(11) = 59

a1 + 22 = 59

a1 = 59 - 22

a1 = 37

The 21st term:

a21 = a1 + (21 - 1)d

a21 = 37 + 20(11)

37 + 220 = 257

6 0
3 years ago
-2/2/5divided by -2/2/3
d1i1m1o1n [39]

Answer:

9/10

Step-by-step explanation:

to do this you would want to find a common denominator. then to divide fractions you would want to apply the keep change flip rule. keep the first fraction. change the division sign to multiplication and flip the fraction. then proceed to multiple. then you have your answer.

8 0
3 years ago
Read 2 more answers
Can you help me please? I would appreciate it ❤️❤️
lianna [129]
The answer is 9
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8 0
3 years ago
One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept o
pickupchik [31]

Answer:

x-intercept(s):  (−1.9900717,  0)

y-intercept(s): (0, 52.5)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x. To find the y-intercept, substitute in  0 for x and solve for y .

f(x)=y

(x)=x

<u>x-intercept</u>

To find the x-intercept(s), substitute in  0  for  y  and solve for  x .

f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5

=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)

=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10

=0=10x^3-80x^2+170x-105\left(x-5\right)

=0=10x^3-80x^2+65x+525

=10x^3-80x^2+65x+525=0

=10x^2-99.90071\dots x+263.80959\dots \approx \:0

\bold{x\approx \:-1.99007\dots}

<u>y-intercept</u>

f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5

=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)

=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)

=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)

=y=0-0+0-\left(-52.5\right)

=0-0+0+52.5

\bold{y=52.5}

8 0
2 years ago
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