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sergey [27]
4 years ago
11

True or false ? why and why not ? 8a - (8a - 8) is equivalent to 8

Mathematics
1 answer:
Tanya [424]4 years ago
4 0

Answer:

True

Step-by-step explanation:

Apply the distributive property

8a-(8a)- -8

Multiply 8 by -1

8a-8a- -8

Multiply -1 by -8

8a-8a+8

Simplify by adding terms

Subtract 8a from 8a

0+8

Add 0 and 8

8

Hope this helps :)

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A man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52°. How far away is the man from th
GREYUIT [131]

Answer:

61.57 ft

Step-by-step explanation:

Look at the picture. You need to find the base value.

so we can sue the cosine formula here.

cos x° = adjacent / hypotaneous

cos 52 ° = adj / 100

adjacent = 100 cos 52°

               =61.57 ft

6 0
3 years ago
Read 2 more answers
5/y + 7/x =24<br> 12/y + 2/x =24 ,find the ratio of x to y.
rosijanka [135]

Answer:

Step-by-step explanation:

5/y + 7/x =24.........(1)

12/y + 2/x =24........(2)

Let 1/y = a and 1/x = b

5a + 7b = 24 ...........(3)

12a + 2b = 24...........(4)

Multiply (3) by 2 and (4) by 7

10a + 14b = 48..........(5)

84a + 14b = 168.........(6)

Substracting (5) from (6)

84a - 10a = 168 - 48

74a = 120

a = 120/74

a = 60/37

Putting a = 60/37 in (3)

5a + 7b = 24

5(60/37) + 7b = 24

300/37 + 7b = 24

Multiply each term 37

300 + 259b = 888

259b = 888 - 300

259b = 588

b = 588/259

And a = 1/y

60/37 = 1/y

Cross multiply

60y = 37

y = 37/60

Also

b = 1/x

588/259 = 1/x

Cross multiply

588x = 259

x = 259/588

7 0
3 years ago
Find the arc length of the partial circle.
Bumek [7]

\qquad\qquad\huge\underline{{\sf Answer}}♨

As we know :

Length of arc = Radius × Angle made by Arc at center [ in radians ]

\qquad \tt \dashrightarrow \: arc = radius \times angle \:  \: ( in \:  \: rad)

\qquad \tt \dashrightarrow \: arc = 8 \times \dfrac{ \pi}{2}

\qquad \tt \dashrightarrow \: arc = 4 \pi  \dfrac{ }{}  \:  \: units

or

\qquad \tt \dashrightarrow \: arc = 4  \times 3.14 = 12.56  \:  \: units\dfrac{ }{}  \:  \:

5 0
2 years ago
NEED HELP ASAPPPPPPPPPPPOP
DedPeter [7]

Answer:

  1. x - 5y = -5; x -5y = 35
  2. there are no solutions, the lines are parallel so do not intersect

Step-by-step explanation:

<h3>1.</h3>

We judge the x-intercept to be about 5 times as far from the origin as the y-intercept is. If we take the y-intercept of the blue line to be +1, then the equation of that line can be x -5y = -5. The y-intercept of the black line appears to be about 7 times as far from the origin as for the blue line, so the constant will be multiplied by -7: x -5y = 35.

The two equations in the system of equations could be ...

  • x -5y = -5
  • x -5y = 35

__

<h3>2.</h3>

We have assumed the two lines are parallel, so they will not intersect. A point of intersection would be a solution to the system. The system of equations will have no solutions.

7 0
2 years ago
Triangle abc underwent a sequence of transformations to give triangle a’b’c’. Which transformations could not have taken place?
loris [4]

Answer:

Either a reflection across the origin. Or a 180° clockwise rotation.

7 0
3 years ago
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