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Veseljchak [2.6K]
2 years ago
6

If a=8 and b=5 and x=4 and y=6m -2 what is the value of m ?

Mathematics
1 answer:
Serga [27]2 years ago
3 0

Answer:

m = 2

Step-by-step explanation:

Given:

x = 4

y = 6m - 2

a = 8

b = 5

Required:

Value of m

SOLUTION:

x and y are segments of a chord divided when it intersects another chord that also has segments a and b.

According to the Intersecting chords theorem, a*b = x*y

Thus:

8*5 = 4*(6m - 2)

Solve for m

40 = 24m - 8

40 + 8 = 24m - 8 + 8

48 = 24m

\frac{48}{24} = \frac{24m}{24}

2 = m

The value of m = 2

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Sarah's surfboards charges a fee of $60 to rent a surfboard and then $10.50 per hour. Sally's surfboards does not charge a fee,
Zanzabum

Answer:

12 hours

Step-by-step explanation:

Let the number of hours be represented as h.

Sarah's surfboards charges a fee of $60 to rent a surfboard and then $10.50 per hour.

Mathematically ,

60 + 10.50h

Sally's surfboards does not charge a fee, but they cost $15.50 per hour

Mathematically,

15.50h

Equating both equations together

60 + 10.50h = 15.50 h

Collect like terms

60 = 15.50h - 10.50h

60 = 5h

h = 60/5

h = 12 hours

Therefore, the number of hours that the cost will be the same to rent a surfboard for each shop is 12 hours.

7 0
2 years ago
A(1)= -13 <br><br> a(n)= a(n-1)+4 <br><br> Find the 2nd term in the sequence
eimsori [14]

The second term of the arithmetic sequence is:

a₂= -9

<h3>How to find the second term in the sequence?</h3>

Here we have an arithmetic sequence, such the the recursive formula is:

aₙ = aₙ₋₁ + 4

So to get each term, we need to add 4 to the previous one.

We know that the first term is:

a₁ = -13

Then the second term will be:

a₂ = a₁ + 4 = -13 + 4 = -9

Learn more about arithmetic sequences:

brainly.com/question/6561461

#SPJ1

7 0
1 year ago
If a toaster oven that is connected to a 120 v plug has 16 A of current running through it, what is the resistance?
Alenkinab [10]

Answer:

The resistance is 7.5 ohms

Step-by-step explanation:

V = IR

V = voltage  I is the current and R = resistance

120 = 16*R

Divide by 16 on both sides

120/16 = 16R/16

7.5 = R

The resistance is 7.5 ohms

4 0
2 years ago
Read 2 more answers
Pls show me proof, thank you
Karo-lina-s [1.5K]

The y has to be negative but the x positive. So that leaves only (3,-4)

4 0
3 years ago
Christine has a rectangular poster. The poster is 1.5 meters long and 1.2 meters wide. What is the area of the poster in square
Setler79 [48]
Answer: 180cm^2

Explanation: First, multiply 1.5 by 1.2 to get the area of the rectangle in METERS, which is 1.8. Since the question is asking for the area in CENTIMETERS, multiply 1.8 by 100 (because 1 meter=100 centimeters) to get 180cm^2.

Hope that helped :)
7 0
2 years ago
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