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3 years ago

What is the answer to 14x. -2y=46. Y=4x -11

Mathematics

1 answer:

sashaice [31]3 years ago

5 0

Answer:

-42

Step-by-step explanation:

-2y = 46

y = 46/ -2

y = -23

Substitute y in y = 4x-11

-23 = 4x -11

-23+11 =4x

-12 = 4x

x = -12/4

x = -3

Now plug in x value in 14x

14(-3) = -42

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PtichkaEL [24]

Answer:

Option C. y ≤ x-2

y ≤ 50/9-(1/6)x-(1/18)x^2

Step-by-step explanation:

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3 years ago

Write an equation to show "three times a number is 11".

Charra [1.4K]

Answer:

3x=11

Step-by-step explanation:

a number: x

three times x: 3x

is equal to 11: 3x=11

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2 years ago

Read 2 more answers

A translation has this rule: (x - 5, y). What is the translation?

Neporo4naja [7]

Answer:

Step-by-step explanation:

For example (7-5,y)

7-5=2

————————-————-—————————-

0. 2. 5. 7

| 7-5 |

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You would move to the right 5 units.

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3 years ago

A rectangular prism has a dimension x units ,2x units and x+8 units . Which expression represents the surface area of the prism

Alekssandra [29.7K]

Formula to find the surface area of the rectangular prism is:

2wl + 2lh + 2hw,

where w is width, l is the length, and h is height of the prism.

Given, the dimension x units ,2x units and x+8 units .

So, we can plug in w= x, l= 2x and h= x+8 in the above formula to get the expression for the surface area of the prism. Hence,

Surface area= 2wl + 2lh + 2hw

=2*x*2x+ 2*2x*(x+8)+2*(x+8)*x

= 4x²+4x(x+8)+2x(x+8) (By multiplying)

= 4x²+4x²+32x+2x²+16x (Multiplying by distribution)

=(4x²+4x²+2x²)+(32x+16x ) (Making the groups of like terms)

= 10x²+48x (Adding the like terms)

So, the expression 10x²+48x units² represents the surface area of the given prism.

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2 years ago

Beatriz went on a road trip. By the end of the first day, she was 200\text{ km}200 km200, end text from the starting point of he

vlada-n [284]

The direction of Beatriz relative to the starting point of her trip is approximately $278.806^{\circ}$ .

<h3>How to find the position of Beatriz relative to the starting point of her trip</h3>

After a careful reading of the statement, we find that final position ( $\vec r$ ) by the end of the second day is found by means of this vector sum:

$\vec r = \vec r_{1} + \vec r_{2}$ (1)

Where:

$\vec r_{1}$ - Vector distance of the first day relative to starting point, in kilometers.
$\vec r_{2}$ - Vector distance of the second day relative to the final point of $\vec r_{1}$ , in kilometers.

If we know that $\vec r_{1} = (200\,km \cdot \cos 300^{\circ}, 200\,km\cdot \sin 300^{\circ})$ and $\vec r_{2} = (150\,km\cdot \cos 250^{\circ}, 150\,km\cdot \sin 250^{\circ})$ , then final position of Beatriz relative to origin is:

$\vec r = (200\,km\cdot \cos 300^{\circ}, 200\,km\cdot \sin 300^{\circ})+(150\,km \cdot \cos 250^{\circ}, 150\,km\cdot \sin 250^{\circ})$

$\vec r = (48.670, -314.159)\,[km]$

And the direction relative to the starting point ( $\theta$ ), in degrees, is found by following inverse trigonometric relation:

$\theta = \tan^{-1} \frac{r_{y}}{r_{x}}$ (2)

If we know that $r_{x} = 48.670\,km$ and $r_{y} = -314.159\,km$ , then the direction of Beatriz relative to the starting point of her trip is:

$\theta = \tan^{-1} \left(\frac{-314.159\,km}{48.670\,km} \right)$

$\theta \approx 278.806^{\circ}$

The direction of Beatriz relative to the starting point of her trip is approximately $278.806^{\circ}$ . $\blacksquare$

To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/21925479

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2 years ago