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3 years ago

Is (2, -4) a solution to the inequality 2x - 3y < 15? Yes or No

Mathematics

1 answer:

miss Akunina [59]3 years ago

7 0

Answer:

No.

Step-by-step explanation:

We substitute the values x = 2 and y = -4 into the inequality.

Left side = 2(2) - 3(-4) = 4 + 12

= 16

Now the right side is 15 so we get 16 < 15 which is incorrect.

So (2, -4) is not a solution.

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9. A rectangle has an area of 45m²

love history [14]

Answer:

$Lenght=3\,m$

Product of length and width= $45$

Step-by-step explanation:

The product of the length and width of the rectangle is called the area of the rectangle.

Area of the rectangle= $45\,m^2$

$Width=15\,m$

Area of the rectangle= $Length\times Width$

$45=Length\times 15\\\\Length=\dfrac{45}{15}\\\\ Length=3\,m$

The product of the Length and Width of the rectangle is :

$=3\times15\\\\=45 m^2$ i.e area of the rectangle.

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3 years ago

A system of equations is shown below. y = x 2+ 2x + 8 y = – 4x What is the smallest value of y in the solution set of the system

Leto [7]

Answer:

I think 2+-1x+9y

Step-by-step explanation:

Just add the numbers that have the same variables

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3 years ago

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Please help!! Xoxo! Appreciate it :)

Degger [83]

Answer:

B x = sqrt(41)

Step-by-step explanation:

Since the large triangle is isosceles, the smaller triangles on the right side and left side are congruent right triangles.

The base of each smaller right triangle is 4 units long (8/2 = 4).

The vertical leg is 5.

Use the Pythagorean theorem to find x.

a^2 + b^2 = c^2

4^2 + 5^2 = x^2

16 + 25 = x^2

x^2 = 41

x = sqrt(41)

Answer: B x = sqrt(41)

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3 years ago

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3x+5(2+x)=4x-7 help me out here?

Oksi-84 [34.3K]

Answer:

x = -17/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3x + 5(2 + x) = 4x - 7

Step 2: Solve for x

[Distributive Property] Distribute 5: 3x + 10 + 5x = 4x - 7
[Addition] Combine like terms: 8x + 10 = 4x - 7
[Subtraction Property of Equality] Subtract 4x on both sides: 4x + 10 = -7
[Subtraction Property of Equality] Subtract 10 on both sides: 4x = -17
[Division Property of Equality] Divide 4 on both sides: x = -17/4

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3 years ago

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Shona drove 264 miles in 5.5 hours at this rate how far can she drive in 7 hours

Marianna [84]

5.5hours to drive264 miles
7 hours to drove (264÷5.5)× 7 =....

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