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Sedbober [7]
3 years ago
5

This Question: 1 pt

Mathematics
1 answer:
guapka [62]3 years ago
5 0

Answer:

9x² - 7x - 9

Step-by-step explanation:

Two sides

(6x + 7) + 8x = 14x + 7

total perimeter - two sides = Third side

9x² + 7x - 2

-      (14x + 7)

––––––––––

9x² - 7x - 9

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How do you solve this?
liberstina [14]

Answer:

The answer is

<h2>{13}^{3}</h2>

Step-by-step explanation:

<h3>( {13})^{2}(  {13})^{ - 4} ( {13})^{5}</h3>

To solve the expression , use the rules of indices

Since the bases are the same and are multiplying we add the exponents

That's

<h3>{a}^{x}  \times  {a}^{y}  \times  {a}^{z}  =  {a}^{x + y + z}</h3>

So we have

<h3>( {13})^{2}(  {13})^{ - 4} ( {13})^{5}   =  {13}^{2 - 4 + 5}  \\  =  {13}^{ - 2 + 5}</h3>

We have the final answer as

<h3>{13}^{3}</h3>

Hope this helps you

3 0
4 years ago
3 (5р — 3) = 5 (p — 1)
Akimi4 [234]

Answer:

15p-9=5p-5

Step-by-step explanation:

i expanded the brackets I think this is correct if you wanted to expand it

8 0
3 years ago
A helicopter hovers 500 m above a long straight road. There is a truck to the left and right of the helicopter. The angles of de
vivado [14]

Answer:

1045.01 rounded to the nearest hundredth

Step-by-step explanation:

First, we can draw this out. The angle of depression is the angle formed by the object at the top and the line formed by the object at the top and the object at the bottom.

If the truck on the left is truck A and the truck on the right is truck B, with the helicopter being the circle on top, there is one 60 degree angle of depression and one 20 degree one. If we make a point at the point in the road the helicopter is straight above, and we connect the points, we can form two right triangles, as shown. If we can calculate the lengths of sides x and y, we can add them up to find the length between the two trucks.

Starting with side x, we know one angle and the side length adjacent to that angle. We want to find the length opposite that angle. One formula that encompasses this is tan(θ) = opposite/adjacent. Therefore, tan(60) = x/500

tan(60) = x/500

multiply both sides by 500 to isolate the x

tan(60) * 500 = x

x = 866.0254

Similarly, with side y, we can say that tan(20) = y/500 and

tan(20) * 500 = y

y= 181.9851

The distance between the two trucks can be shown as x+y, so x+y= 1045.01 rounded to the nearest hundredth

6 0
3 years ago
Kennedy and Olivia go to the movie theater and purchase refreshments for their friends.
Anvisha [2.4K]

Answer:

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Step-by-step explanation:

Let the price  of popcorn be x

Let the price  of drink be y.

price  of  12 bags of popcorn will be 12x

price  of  2 drinks  will be 2y

it is given that "Kennedy spends a total of $77.50 on 12 bags of popcorn and 2 drinks."

thus

12x + 2y = 77.50

dividing LHS and RHS by 2 we have

12x/2 + 2y/2 = 77.50/2

=> 6x + y = 38.75 _________(1)

__________________________________________________

price  of  3 bags of popcorn will be 3x

price  of  6 drinks  will be 6y

it is given that "Olivia spends a total of $51.00 on 3 bags of popcorn and 6 drinks."

thus

3x + 6y = 51.00

dividing LHS and RHS by 3 we have

3x/3 + 6y/3 = 51/3

=> x + 2y = 17   _____________(2)

__________________________________________________

Thus we have two equation

6x + y = 38.75 _________(1)

x + 2y = 17

=> x = 17 - 2y

putting this value of x in equation 1 we have

6( 17 - 2y) + y = 38.75

=> 102 - 12y + y = 38.75

=> 102 - 11y = 38.75

=> -11y = 38.75 -102

=> -11y = -63.25

=> y = -63.25/-11 = 5.75

as we have x = 17 - 2y

using 5.75 in place of y

x = 17 - 2(5.75 )

=> x = 17 - 11.5

=> x = 5.5

Thus, system of equations are

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

3 0
3 years ago
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Zigmanuir [339]

Answer: Answer is on first screenshot

Step-by-step explanation:

5 0
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