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3 years ago

Which orders paid is a solution is the equation y= 4x + 9

1 answer:

5 0

Note: you did not add the answer options, so I am solving this question generally to solve your query, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

$y= 4x + 9$

All we need is to find any random value of 'x' and then solve for 'y'.

For example, putting x=2

$y= 4x + 9$

$y=4(2)+9$

$y=8+9$

$y=17$

Thus, (2, 17) is one of the many ordered pairs solutions of the equation.

Similarly, putting x=3

$y= 4x + 9$

$y=4(3)+9$

$y=12+9$

$y=21$

Thus, (3, 21) is one of the many ordered pairs solutions of the equation.

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Rewrite the fraction as a decimal -19/50

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You order items from a menu that total $10.75. your bill comes to $11.66, including tax. what is the percent of the increase (ta

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3 years ago

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The length of a rectangle is 7 more than the width the area is 744 square centimeters find length and width of rectangle

andrezito [222]

Answer:

$l=31\ cm\\\\w=24\ cm$

Step-by-step explanation:

The formula that is used to calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

You know that the area of that rectangle is:

$A=744\ cm^2$

And, according to the exercise, its lenght is 7 more than its width; then:

$l=w+7$

Then, you can make the corresponding substitution into the formula $A=lw$ :

$744=(w+7)w$

Simplify:

$744=w^2+7w\\\\w^2+7w-744=0$

Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.

Then, you get:

$(w-24)(w+31)=0\\\\w_1=24\\\\w_2=-31$

The width of the rectangle is the positive value:

$w=24\ cm$

Then, the lenght is:

$l=24+7\\\\l=31\ cm$

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3 years ago

If sin(y°) = cos(x°), which of the following statements is true?

Firdavs [7]

Answer:

y = w and ΔABC ~ ΔCDE

Step-by-step explanation:

Given sin(y°) = cos(x°)

So, ∠y + ∠x = 90° ⇒(1)

And as shown at the graph:

ΔABC is aright triangle at B

So, ∠y + ∠z = 90° ⇒(2)

From (1) and (2)

∴ ∠x = ∠z

ΔCDE is aright triangle at D

So, ∠x + ∠w = 90° ⇒(3)

From (1) and (3)

∴ ∠y = ∠w

So, for the triangles ΔABC and ΔCDE

∠A = ∠C ⇒ proved by ∠y = ∠w
∠B = ∠D ⇒ Given ∠B and ∠D are right angles.
∠C = ∠E ⇒ proved by ∠x = ∠z

So, from the previous ΔABC ~ ΔCDE by AAA postulate.

So, the answer is y = w and ΔABC ~ ΔCDE

4 0

3 years ago

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