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Dominik [7]
3 years ago
11

Combining like terms with negative coefficients and distribution -5(3x+10)-2(4x-5) ?

Mathematics
1 answer:
N76 [4]3 years ago
5 0

Answer:

-23x-40

Step-by-step explanation:

  • -5(3x+10)-2(4x-5)
  • -15x-50-8x+10
  • -23x-40
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A plane took off at a point that is 42 meters from the control tower. The flight path takes the plane over the control tower tha
kodGreya [7K]

Answer:

D. The plane needs to be about 27 meters higher to clear the tower.

Step-by-step explanation:

In this scenario a triangle is being formed. The base the plane's takeoff point to the tower base which is 42 meters (x).

The hypothenus is the distance travelled by the plane which is 83 meters (h)

The height of the tower is 98 Meters

We want to calculate the height of our triangle (y) so we can guage if the plane scaled the tower.

According to Pythagorean theorem

(x^2) + (y^2) = h^2

y = √ (h^2) - (x^2)

y = √ (83^2) - (42^2)

y= √(6889 - 1764)

y= 71.59 Meters

The height from the plane's position to the top of the tower will be

Height difference = 98 - 71.59 = 26.41 Meters

So the plane should go about 27 Meters higher to clear the tower

5 0
3 years ago
3(5x+2)=2(3x-6)<br> help i need to show work and I have no idea how to do this
tester [92]

Answer: its −2

Step-by-step explanation:

3*(5*x+2)-(2*(3*x-6))=0  

Step by step solution :

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  3x - 6  =   3 • (x - 2)  

Equation at the end of step

2

:

 (3 • (5x + 2)) -  6 • (x - 2)  = 0  

STEP

3

:

Equation at the end of step 3

 3 • (5x + 2) -  6 • (x - 2)  = 0  

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  9x + 18  =   9 • (x + 2)  

Equation at the end of step

5

:

 9 • (x + 2)  = 0  

STEP

6

:

Equations which are never true

6.1      Solve :    9   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

6.2      Solve  :    x+2 = 0  

Subtract  2  from both sides of the equation :  

                     x = -2

One solution was found :

x = -2

8 0
4 years ago
Read 2 more answers
elogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of BD. A. 6 B. 16 C.
slega [8]

Answer:

D

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, thus

DE = BE , substitute values

4y - 8 = y + 10 ( subtract y from both sides )

3y - 8 = 10 ( add 8 to both sides )

3y = 18 ( divide both sides by 3 )

y = 6

Thus

BD = y + 10 + 4y - 8 = 5y + 2 = 5(6) + 2 = 30 + 2 = 32 → D

4 0
3 years ago
Serious answers only
dlinn [17]

Answer:

192

Step-by-step explanation:

4x8=32

8x4=32        32x6=192

U have to multiply all the numbers .

8 0
3 years ago
Read 2 more answers
An angle of 90° measures (___) Pi radians.<br><br>An angle of -pi/5 radians measures ____?<br><br>°.
a_sh-v [17]

\huge \bf༆ Answer ༄

Conversion from degree to radian ~

  • \boxed{ \sf{ \frac{\pi}{180} \times  \theta }}

  • \sf \dfrac{\pi}{180 } \times 90

  • \sf \dfrac{\pi}{2}  \:  \: rad

Conversion from radians to degree ~

  • \boxed{ \sf{ \frac{180}{\pi}  \times  \theta}}

  • \sf \dfrac{180}{\pi}  \times   - \dfrac{ \pi}{5}

  • \sf  - 36 \degree

4 0
2 years ago
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