What is the solution to the system y=4x+3 y=-1/4x+3

What is 5x-7(x+1)=9 Thanks for the help

mylen [45]

Answer:

x = -8

Step-by-step explanation:

Step 1: Write equation

5x - 7(x + 1) = 9

Step 2: Solve for x

Distribute -7: 5x - 7x - 7 = 9
Combine like terms: -2x - 7 = 9
Add 7 to both sides: -2x = 16
Divide both sides by -2: x = -8

Step 3: Check

Plug in x to verify it's a solution.

5(-8) - 7(-8 + 1) = 9

-40 - 7(-7) = 9

-40 + 49 = 9

9 = 9

8 0

3 years ago

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wants to build a rectangular deck that has an area of 165 square feet. The length of the deck will be 15 feet long. What is the

GarryVolchara [31]

15 multiplied by 11 is 165. so you're width is 11.

3 0

3 years ago

Find the exact value

Mnenie [13.5K]

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

<h3>How to find the exact value of a trigonometric expression</h3>

Trigonometric functions are trascendent functions, these are, that cannot be described algebraically. Herein we must utilize trigonometric formulae to calculate the exact value of a trigonometric function:

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{2+\sqrt{3}}{4} }$

$\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}$

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

To learn more on trigonometric functions: brainly.com/question/15706158

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7 0

2 years ago

2 customers entered a store over the course of 5 minutes. At what rate were the customers entering the store in minutes per cust

Masja [62]

2 minutes 30 seconds, or 2:30.

If two customers enter the store every five minutes, that means you have to divide 5 minutes by 2 to get the amount of time it takes for each customer to enter.

3 0

3 years ago

A segment is on a number line with endpoints at −5.3 and 8.7. What is the length of the segment?

Kisachek [45]

Answer:

about 6.3✔

Step-by-step explanation:

5 0

3 years ago

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