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2 years ago

-11y = 6(2+1) - 13y

Mathematics

1 answer:

iris [78.8K]2 years ago

7 0

Answer:

Step-by-step explanation:

Let's put the equations in standard form. For the first equation, we have:

−11y=6(z+1)-13y

2y−6z=6

y−3z=3

The second equation is:

4y−24=c(z−1)

4y−cz=24−c

If we multiply the first equation by 4, we get:

4y-12z=12

Comparing the two equations, we see that if c=12, both equations will be the same and there will be infinitely many solutions.

The correct value of c is 12.

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olasank [31]

Answer

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Formula

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$= \frac{1}{2}\times( {x_1(y_{2}-y_{3}) +x_{2}(y_{3} - y_{1})+x_{3}(y_{1}-y_{2})})$

Now vertices are D(3, 3) , E(3, −1) , and F(−2, −5) .

$= \frac{1}{2} (3\times(-1 +5) + 3\times(-5-3)-2\times(3+1))$

Solving the above

$= \frac{1}{2}(3\times4+3\times-8 -2\times4)$

$=\frac{1}{2} (12-24-8)\\ =\frac{1}{2} (-32+12)\\=\frac{1}{2} (-20)$

= -10 units²

(Neglected the negative sign as area cannot be negative.)

= 10 units ²

Area of a triangle is 10 units ²

Hence proved

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3 years ago

Find the area of a rectangle with a length of (8m³)² and a width of (4x²m⁴)

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Step-by-step explanation:vgnhc

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3 years ago

The flagpole in front of VHS 50 feet tall. The angle of elevation from the end of its shadow to the top of the flagpole is 46°.

mamaluj [8]

Answer:

The length of the shadow is 48.28 feet.

Step-by-step explanation:

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Let AB be the flagpole. AC is the shadow.

Let's use the sine law to calculate AC.

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3 years ago

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2 years ago

Which represents a total cost of 2 dance tickets at a price of c for each, less a one-time $5 discount?

Eduardwww [97]

The statement is represented as 2(c- 5). Option D

<h3>What are algebraic expressions?</h3>

Algebraic expressions are expressions consisting of variables, terms, factors, and constants.

They are also made up of mathematical operations such as addition, bracket, subtraction, division, multiplication, etc

From the information given, we have;

total cost of 2 dance tickets
price of c for each, less a one-time $5 discount

Expressed as;

2(c- 5)

Thus, the statement is represented as 2(c- 5). Option D

Learn more about algebraic expressions here:

brainly.com/question/4344214

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1 year ago