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Svetlanka [38]
2 years ago
14

(-13xy+2y)+(2x-5xy-15y)

Mathematics
2 answers:
Thepotemich [5.8K]2 years ago
8 0

Answer:

2x -18xy -13y

Step-by-step explanation:

(-13xy + 2y) + (2x - 5xy -15y)

-13xy + 2y + 2x -5xy - 15y

Collecting like term..

2x -13xy - 5xy - 15y + 2y

= 2x -18xy -13y

Arturiano [62]2 years ago
3 0

Answer:-18xy+2x-13y

Step-by-step explanation: combine like terms

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Avery can run at 10 uph. The bank of a river is represented by the line 4x + 3y = 12, and Avery is at (7, 5). How much time does
Reil [10]
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)

4x+3y=12

3y=-4x+12

y=-4x/3+12/3

So a line perpendicular to the bank will be:

y=3x/4+b, and we need it to pass through (7,5) so

5=3(7)/4+b

5=21/4+b

20/4-21/4=b

-1/4=b so the perpendicular line is:

y=3x/4-1/4

So now we want to know the point where this perpendicular line meets with the river bank.  When it does y=y so we can say:

(3x-1)/4=(-4x+12)/3  cross multiply

3(3x-1)=4(-4x+12)

9x-3=-16x+48

25x=51

x=51/25

x=2.04

y=(3x-1)/4

y=(3*2.04-1)/4

y=1.28

So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(7-2.04)^2+(5-1.28)^2

d^2=38.44

d=√38.44

d=6.2 units

Since he can run at 10 uph...

t=d/v

t=6.2/10

t=0.62 hours  (37 min 12 sec)

So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.




8 0
3 years ago
What's is the slope of this line?<br>Need this ASAP​
Basile [38]

Answer:

\displaystyle m=2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

Reading a Cartesian Plane

  • Coordinates (x, y)

Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (0, 3)

Point (1, 5)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                             \displaystyle m=\frac{5-3}{1-0}
  2. [Slope] Subtract:                                                                                              \displaystyle m=\frac{2}{1}
  3. [Slope] Divide:                                                                                                  \displaystyle m=2
5 0
3 years ago
Solve for x rounding to nearest tenth​
Lina20 [59]
X = 13.26

here’s a photo with the work if that helps at all :)

6 0
2 years ago
How to solve 46=5k-59. what is k?
snow_lady [41]
46 = 5k - 59
46 + 59 = 5k
105 = 5k
105/5 = k
21 = k

k is 21
4 0
3 years ago
Find the sum.<br> negative 4 plus 16
lorasvet [3.4K]

Answer:

postive 12

Step-by-step explanation:

16-4=12


6 0
3 years ago
Read 2 more answers
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