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3 years ago

What is the perimeter of a rectangle whose width is (x - 7) units and whose length is (3x + 10) units?

Mathematics

1 answer:

FromTheMoon [43]3 years ago

4 0

Answer:

The answer is "(8x + 6) units".

Step-by-step explanation:

Formula of perimeter is:

$\to \bold{P=2 \text{(Length +width)} }$

$=2((3x+10)+(x-7))\\\\=2(4x+3)\\\\= 8x+6$

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Juli2301 [7.4K]

Answer:

x=8/47

Step-by-step explanation:

8x(40+7)=8+(8*7)

8x(47)=8+56

376x=64

x=64/376

x=8/47

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3 years ago

A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(

alekssr [168]

Answer:

$\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right)$ or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

$\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1$

Set $f'(x)$ equal to 8/7 and solve for x:

$\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}$

Therefore, $f(x)$ will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into $f(x)$ to get the y-coordinate:

$\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}$

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0

2 years ago

Evaluate this exponential expression.

Levart [38]

Answer:

$(-27)^\dfrac{2}{3}$ = 9

Step-by-step explanation:

Given that,

Asn expression : $(-27)^\dfrac{2}{3}$

We need to evaluate the above expression.

We know that, $(-3)^3=-27$

So,

$(-27)^\dfrac{2}{3}=(-3)^{3\times \dfrac{2}{3}}$

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So, the value of $(-27)^\dfrac{2}{3}$ is 9. Hence, the correct option is (b).

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3 years ago

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Setler79 [48]

Answer:

D. 7.29.

Step-by-step explanation:

For a Normal Distribution:

Q1 = mean - (0.675) * standard deviation

= 8.5 - 0.675*1.8

= 7.285.

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3 years ago

Which of these expressions can be used to calculate the monthly payment for

skad [1K]

Answer:

m=(r/n)+0.114r

Step-by-step explanation:

m=monthly payment

r=remaining amount

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3 years ago

What is the perimeter of a rectangle whose width is (x - 7) units and whose length is (3x + 10) units?​

What is the perimeter of a rectangle whose width is (x - 7) units and whose length is (3x + 10) units?