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slamgirl [31]
3 years ago
12

Add the following expressions: 3r - 7 and -10r + 2 -13r-9 13-5 O -7r - 9 -7r -5

Mathematics
2 answers:
Ksju [112]3 years ago
5 0

Answer:

Step-by-step explanation:

-7r - 5

<em>Hope that helps! :)</em>

<em></em>

<em>-Aphrodite</em>

love history [14]3 years ago
3 0

Answer:

-7r - 5

Step-by-step explanation:

3r - 7 and -10r + 2

*remember that you can only combine the like terms

3r - 10r = - 7r

-7 + 2 = -5

Final Answer: -7r - 5

You might be interested in
A place from this table is chosen at random. Let event A = The place is a city.
Crank

Answer:

Final answer is P(A^c)=\frac{3}{7}

Step-by-step explanation:

We have been given a table containing a list of few places that are either city or in North America.

Total number of places in that list = 7

That means sample space has 7 possible events.

Given that a place from this table is chosen at random. Let event A = The place is a city.

Now we need to find about what is P(A^c).

That means find find the probability that chosen place is not a city.

there are 3 places in the list which are not city.

Hence favorable number of events = 3

Then required probability is given by favorable/total events.

P(A^c)=\frac{3}{7}

6 0
3 years ago
Find u -2v given u = (-2, 5) and v = 6i -4j
Arisa [49]

Answer:

A. U - 2v = -14i +13j


Step-by-step explanation:

If u = (-2, 5) and v = 6i -4j

Then 2v = 2*(6i-4j) = 12i-8j

u-2v =  -2i +5j  - (6i -4j)

Distribute the minus sign  

        -2i +5j -6i+4j

-2i +5j

-12i + 8j

---------------

-14i +13j

6 0
3 years ago
6.8x+9.3 = -9.4+3,4(2-5x)<br> 6.8x+9.3 = -9.4+6.8 -17<br> 6.8x+9.3 = -2.6-17x
Advocard [28]

Answer:

x = -0.5

Step-by-step explanation:

From your last step:

6.8x + 9.3 = -2.6 - 17x

We have two terms with x in them on different sides of the equation, so we want to bring the 'x terms' over to the same side.

Add 17x to both sides of the equation.

6.8x + 17x + 9.3 = -2.6

Collect like terms

23.8x + 9.3 = -2.6

Subtract 9.3 from both sides

23.8x = -2.6 - 9.3

23.8x = -11.9

Divide both sides by 23.8

x = -0.5

7 0
3 years ago
A rocket is launched from a tower what time will the rocket reach its max
Lena [83]

Answer:

Step-by-step explanation:

A science class designed a ball launcher and tested it by shooting a tennis ball up and off the top of a 15-story building. They determined that the motion of the ball could be described by the function: h(t) = -16t2 + 144t + 160, where ‘t’ represents the time the ball is in the air in seconds and h(t) represents the height, in feet, of the ball above the ground at time t.

a) Graph the function h(t) = -16t2 + 144t + 160 (see below)

      b) What is the height of the building?

The height of the building is also the height of the tennis ball before it is launched into the air. This occurs when t=0 so substitute 0 for t and you get:

H(0) = -16(0)2 + 144(0) + 160

The height of the building is 160 feet.

 c) At what time did the ball hit the ground?

The ball hits the ground when the height is 0. Therefore, we are looking for a solution to: -16t2 + 144t + 160 = 0

Use the quadratic formula or put this into a calculator. The solution is t=10 and -1, but only 10 makes sense. Therefore, the ball hits the ground at 10 seconds.

  d) At what time did the ball reach its maximum height?

You can put this into the calculator or you can realize that the maximum height is also

− the vertex. The x-value (‘t’ in this case) is 2

−144

which is (2)(−16) = 4.5.

Therefore, the ball reached its maximum height at 4.5 seconds.

   e) What is the maximum height of the ball?

We calculated the time of the maximum height (4.5 seconds). Therefore, substitute 4.5 into the function to find the maximum height.

-16(4.5)2 + 144(4.5) + 160

The maximum height is 484 feet.

5 0
2 years ago
A square is folded into half to form a rectangle. the perimeter of the rectangle is 36cm. calculate the area of a square​
zhannawk [14.2K]

Answer:

Let the measure of each side of the square be " x " cm.

then ,

area of square = x²

After we folded the square into a rectangle ,

length of rectangle = x

breadth of rectangle = x/2

perimeter of rectangle = 36 cm

x +  \frac{x}{2}  + x +  \frac{x}{2}  = 36 \\  \\    \frac{2x + x + 2x + x}{2}  = 36 \\  \\   \frac{6x}{2}  = 36 \\  \\ 6x = 36 \times 2 \\  \\ 6x = 72 \\  \\ 6x =  \cancel{\frac{72}{6} } = 12cm

hence ,

side of square = 12 cm

therefore ,

area of square = 12 × 12 = 144 cm²

hope helpful~

8 0
3 years ago
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