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Lena [83]
3 years ago
7

Combine like terms to simplify the expression: -7x + 3y - 2 + 6x - 1 - y2

Mathematics
2 answers:
diamong [38]3 years ago
5 0
It seems that the expression is - 7x + 3y - 2 + 6x -1 - y^2

like terms:

-7x + 6x = - x

3y stands alone

-2 - 1 = -3

- y^2 stands alone

Answer: - x + 3y - 3 - y^2

[note: if the last term is not y^2 but 2y, then you have to combine +3y - 2y = y and the answer would be - x + y - 3]
grigory [225]3 years ago
3 0
-x+y-3
this is the final answer
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You worked 9 hours. how many of those hours were overtime hours?
fredd [130]

Answer:

4? Is this even a questions? I think people work 3-7 hours a day at a normal office job...

Step-by-step explanation:


6 0
2 years ago
Solve:<br> -3/4+p=1/2<br> Thank you so much!
shepuryov [24]

-3 / 4 + p = 1/2

LCD 4 and 2 = 4

Multiply by LCD = 4

p. (4)- 3/4 .( 4 ) = 1/2.(4)

4 p - 3 = 2

Add 3 to both sides:

4 p - 3 + 3 = 2 + 3

4 p = 5

Divide both sides by 4 :

4p / 4 =  5 /4

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3 0
3 years ago
A discuss moves from P1 (4,8) to P2 (15,17). What is the lincar displacement in the horizontal and vertical directions? What is
Yakvenalex [24]

Answer:

The horizontal displacement is 11 units, the vertical displacement is 9 units, and the projection angle is 39.3 degrees.

Step-by-step explanation:

We can start using the definition of displacement in one dimension between any 2 points which is the difference between them, so we have

\Delta s = s_2-s_1

And apply it to get the horizontal and vertical displacements.

Once we have found them, we can use trigonometric functions to find the projection angle with respect the horizontal.

Linear displacements.

Using the definition of displacement, we can write the horizontal displacement as

\Delta x = x_2-x_1

So we can use the given points P1:(x_1,y_2)  \text{  and  } P_2: (x_2,y_2) on the displacement formula

\Delta x = 15-4\\\Delta x = 11

In the same manner we can look at the y components of those points to find the vertical displacement

\Delta y = 17-8\\\Delta y =9

Thus the horizontal displacement is 11 units and the vertical displacement is 9 units.

Projection angle.

The projection angle with respect the horizontal is the angle that is made between the line that connects the points P1 and P2 and the horizontal, so we can use the linear displacements previously found to write

\tan(\theta) = \cfrac{\Delta y}{\Delta x}

Solving for the angle we get

\theta = \tan^{-1}\left(\cfrac{\Delta y}{\Delta x}\right)

Replacing values

\theta = \tan^{-1}\left(\cfrac{9}{11}\right)

Which give us

\theta = 39.3^\circ

So the projection angle is 39.3 degrees.

7 0
3 years ago
If a toy truck is created in a 2:9 scale, and the wheel of the toy is 14cm wide, how wide is the actual wheel?
lesya [120]

Answer:63 cm

Step-by-step explanation:

Given

The scale of creation is 2:9

The width of the toy wheel is 14 cm

Suppose x is the actual width of the truck

\therefore \dfrac{2}{9}=\dfrac{14}{x}\\\\\Rightarrow x=\dfrac{9}{2}\times 14=63\ cm

Thus, the width of actual truck is 63 cm

8 0
2 years ago
Iris wants to buy two necklaces, one for her sister and one for herself. The necklace for her sister costs $42.00, and the neckl
Genrish500 [490]

Answer:

$75.60

Step-by-step explanation:

First, find the total cost without tax:

42 + 28

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Then, to find the price with sales tax, multiply this by 1.08:

70(1.08)

= 75.6

So, the total cost of her purchases was $75.60

4 0
3 years ago
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