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zhenek [66]
3 years ago
13

What is the distance between the points (4,-2) and )-5,3)?

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0

Answer:

10.3

Step-by-step explanation:

Let the given points be the endpoints of a right triangle.  The horizontal change in x is from 4 to -5 and is negative 9; the vertical change in y is from -2 to+ 3 and is +5.

The desired distance is found using the Pythagorean theorem:

d = √(9² + 5²) = √106, or 10.3 (to the nearest tength)

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What is the answer to 11=x/-5 +8
Sladkaya [172]
To solve this problem, we must get the variable x alone on one side of the equation.  To do this, first we must subtract 8 from both sides of the equation.

11=x/-5 + 8 = 19 = x/-5

Next, we must multiply both sides by -5, to cancel out the fraction term on the right side of the equation.

3 = x/-5 = -15=x

Therefore, x = -15, which is the solution to this equation.

Hope this helps!
7 0
4 years ago
A flight from Boston to London took only 5 hours because of a strong tailwind. The flight back to Boston against the same wind t
Nata [24]

Step-by-step explanation:

let v is the speed of the wind,

the equation of the speed:

(550 + v ) × 5 = (550 - v) × 6

2750 +5v = 3300 - 6v

11v = 3300 - 2750

11v = 550

v = 550/11

v = 50

therefore, the speed of the wind =

50 mph

3 0
3 years ago
Read 2 more answers
Solve the system by either the addition method or the substitution method.
GalinKa [24]

Answer:x = - 5

y = 2

Step-by-step explanation:

The given system of simultaneous equations is expressed as

x + 3y = 1 - - - - - - - - - - - - - -1

4x + 4y = -12 - - - - - - - - - - - 2

We want to eliminate x. Multiplying equation 1 by 4 and equation 2 by 1, it becomes

4x + 12y = 4

4x + 4y = - 12

Subtracting the second equation from the first equation, it becomes

8y = 16

y = 16/8 = 2

Substituting y = 2 into equation 1, it becomes

x + 3 × 2 = 1

x + 6 = 1

x = 1 - 6 = - 5

6 0
3 years ago
PLEASE HELP! NO LINKS! TEN POINTS!<br><br> please explain it if you can!
Nata [24]
I think the answer would be 112cm.

To find the area of the triangle you need to do basexheight divided by 2.
8x10 divided by 2 = 40

To find the area of the rectangle
12x6=72

40+72= 112cm

I’m not sure if it’s right but I hope this helps.
7 0
3 years ago
Read 2 more answers
Simplify the following expression Algebra Fraction ​
Elan Coil [88]
To get the denominator you would have to multiply w+5 by w-4

And whatever you do to the denominator you have to do to the numerator

(w-3)(w-4)
w^2-3w-4w+12
w^2-7w+12

So your answer would be c
4 0
3 years ago
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