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kompoz [17]
2 years ago
11

Find the value of y when x equals 18. x - 7y= -17

Mathematics
1 answer:
galina1969 [7]2 years ago
5 0

Answer:

y = 5

Step-by-step explanation:

<u>Step 1:</u>

(18) -7y = -17

-18           -18

<u>Step 2:</u>

-7y = -35

÷-7     ÷-7

y = 5

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The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rec
igomit [66]

Answer:

The length is 7 m

The width is 10 m

Step-by-step explanation:

length = x

width = 2x - 4

length * width = area

It is given that the area is 70 m^{2}

From there

x * (2x - 4) = 70

2x^{2} - 4x = 70

2x^{2} - 4x - 70 = 0

x^{2} - 2x - 35 = 0

Now we have a quadratic equation, which is  ax^{2} + bx + c = 0, where a \neq 0

In this equation a = 1, b = -2 and c = -35

Discriminant (D) formula is b² - 4ac

D = -2^{2}  - 4 * 1 * (-35) = 144 > 0

This discriminant is more than 0, so there are two possible x

Their formulas are  \frac{- b - \sqrt{D}  }{2a} and \frac{- b + \sqrt{D}  }{2a}

x_{1} =  \frac{- (-2) - \sqrt{144} }{2} = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)

x_{2} = \frac{- (-2) + \sqrt{144} }{2} = 7 > 0 (this one is right)

Calculating the dimensions

length = x = 7 (m)

width = 2x - 4 = 2 * 7 - 4 = 10 (m)

8 0
3 years ago
HELPPPP I WILL GIVEE BRAINLIEST
Elis [28]

Answer:

That guy is correct a because its both greater than and equal to 8

3 0
2 years ago
westfalls is 7 miles south of edenville and concord is 13 miles west of westfalls. what is the distance from edenville to concor
jok3333 [9.3K]

Answer:

The distance from Endnville to Concord = 14.8 miles

Step-by-step explanation:

∵ Westfalls is 7 miles South of Endnville

∵ Concord is 13 miles West of Westfalls

∵ South and West are ⊥

∴ The distance from Endnville to Concord = √(7)² + (13)²

                                                                      = 14.8 miles

7 0
3 years ago
**22 POINTS** Please solve this fraction as a difference
Ghella [55]

Answer:

\dfrac{x}{4}-\dfrac{7}{12}

Step-by-step explanation:

The fraction is the equivalent of ...

\dfrac{1}{12}{(3x-7)

and the distributive property applies.

=\dfrac{1}{12}(3x)-\dfrac{1}{12}(7)\\\\=\dfrac{3\cdot x}{3\cdot 4}-\dfrac{7}{12}\\\\=\dfrac{x}{4}-\dfrac{7}{12}

3 0
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The price of a pair of slacks is 29 dollars. What is the price after a 30% discount
Andre45 [30]

Answer:

The pair of slacks would be

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Step-by-step explanation:

5 0
3 years ago
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