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4vir4ik [10]
2 years ago
9

A rectangle has a length of 6x-5y+1 if the perimeter of the rectangle is 16x-4y-4 determine an expression for its width

Mathematics
1 answer:
dimaraw [331]2 years ago
4 0

Answer:

Width = 3y - 3

Step-by-step explanation:

P = 2l + 2w

12x - 4y - 4 = 2(6x - 5y + 1) + 2w

12x - 4y - 4 = (12x - 10y + 2) + 2w

6y - 6 = 2w

w = 3y - 3

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On a map drawn to scale 1/2 inch =200 miles, what is the distance in miles between two cities that are 3*1/2 inches apart on the
Irina-Kira [14]

There are 7 one-halves in 3 1/2, so multiply 200 by 7:

E) 1400 is the correct answer

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Different ways to solve x+4=13
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Wesley spent $34.60 at the grocery store. 15% of that was spent on fruit. How much did Wesley spend on fruit?
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Answer:

5.19 I'm not 100% sure if it's right tho.

6 0
2 years ago
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3. Janet is flying a kite on a string that is 75m long. The kite is 62m above the ground. Estimate the distance between Janet an
konstantin123 [22]
Answer: a) It will be a right triangle with a hypotenuse of 75 and a vertical leg that is 62. 
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To find the missing distance in the right triangle. You have to use the Pythagorean Theorem.  I set it up and solve it below.

a^2 + b^2 = c^2
x^2 + 62^2 = 75^2
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3 0
3 years ago
Solve the equation. StartFraction dx Over dt EndFraction equals StartFraction 1 Over x e Superscript t plus 7 x EndFraction An i
MAVERICK [17]

Answer:

\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C

Step-by-step explanation:

We are given that

\frac{dx}{dt}=\frac{1}{xe^{t+7x}}

We have to find the implicit function

Using separation variable method

\frac{dx}{dt}=\frac{1}{xe^t\cdot e^{7x}}

By using property x^a\cdot x^y=x^{a+y}

xe^{7x}dx=e^{-t}dt

By using property \frac{1}{x^a}=x^{-a}

Taking integration on both sides

\int xe^{7x}dx=\int e^{-t}dt

Parts integration method

\int u\cdot v dx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx

By parts integration method

x\int e^{7x}dx-\int (\frac{dx}{dx}\int e^{7x}dx)dx=-e^{-t}+C

Using formula \int e^{ax} dx=\frac{e^{ax}}{a}+C

\frac{xe^{7x}}{7}-\frac{1}{7}\int e^{7x}dx=-e^{-t}+C

\frac{xe^{7x}}{7}-\frac{1}{49}e^{7x}+e^{-t}=C

\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C

We are given that

F(x,t)=C

F(x,t)=\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C

8 0
3 years ago
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