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butalik [34]
3 years ago
9

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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4. What number completes the following<br>equation?<br>8x (40 + 7) = (8 ) + (8 x 7)​
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

5 0
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}}

or

=(-3)^2\\\\=-3\times -3\\\\=9

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

8 0
2 years ago
Please look at the picture down below
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.

3 0
2 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

n=# of months remaining

3 0
3 years ago
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