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Lemur [1.5K]
3 years ago
12

If A( 6, -1) , B( 1,3) and C( k, 8) are three points such that AB = BC, find the value of k

Mathematics
1 answer:
Drupady [299]3 years ago
7 0

Answer:

De value of k is 9

Step-by-step explanation:

6,-1

b(1,3)

(k,8)

am using bodmas

a6-1×1=6a

b1×3=3b

abc=8

6a+3b+8=17-8

=9

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The enrollment at a local college increased by 9% over last year's enrollment of 3900. Find the current enrollment.
lubasha [3.4K]
Increased enrollment =9%
Last enrollment=3900
Current enrollment=9%of3900+3900
=9×3900/100+3900
=351+3900
=4451
6 0
3 years ago
F(1)=16 f(n)=(n-1)+2n what is f(4)
Wittaler [7]
F(4)=(4-1)+2*4=11...

This seems a bit too easy though, did you mean f(n)=f(n-1)+2n ? In this case :
f(1)=16
f(2)=16+2*2=20
f(3)=20+2*3=26
f(4)=26+2*4=34
5 0
3 years ago
Read 2 more answers
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra
Crank

Answer:

<u>Part 1:</u> Angle = 154.3°

<u>Part 2:</u> About 2.33 Rotations


Step-by-step explanation:


Part 1:

The arc length of a circle is given by the formula  s=r\theta

Where

  • s is the arc length
  • r is the radius of the circle
  • \theta is the angle

**The angle are in radians and we will use radian**

When smaller gear has made 1 complete rotations (2\pi radians), the arc length traveled is s=r\theta\\s=(3)(2\pi)\\s=6\pi


Now, what angle is swept by the larger circle when it travels 6\pi? Put in s=6\pi and r is 7 to find \theta:

s=r\theta\\6\pi=(7)\theta\\\theta= \frac{6\pi}{7}

** Since \pi radians is 180°, we plug in 180 into \pi and find the degree measure:

\frac{6\pi}{7}=\frac{6*180}{7}=154.3

Angle = 154.3°


Part 2:

In one complete rotation of the larger gear, it travels a distance of:

s=r\theta\\s=(7)(2\pi)\\s=14\pi

We know that the smaller circle makes 1 rotation and travels s=r\theta=(3)(2\pi)=6\pi, so in 14\pi distance, it makes:

Rotations = \frac{14\pi}{6\pi}=\frac{14}{6}=2.33

About 2.33 Rotations

4 0
3 years ago
How long would the toy car be?...
maks197457 [2]

Answer:

6.37 cm.

Step-by-step explanation:

Since Hot Wheels uses a scale ratio of 1:64 (1 cm to scale = 64 cm actual) for their toys, knowing that the actual length of a VW Beetle is 160.6 inches, to determine the length of the toy car is you must perform the following calculation:

1 inch = 2.54 cm

(160.6 x 2.54) / 64 = X

407.924 / 64 = X

6.373 = X

Therefore, the size of the toy car will be 6.37 cm long.

7 0
3 years ago
What are the steps on how do you divide fractions using area models?
topjm [15]
Use keep, change, flip!
Ex: 1 / 3
— —
2 4

Keep the 1/2
Change the division sign to a multiplication sign
Flip the 3/4 to be 4/3

1 X 4
— —
2 3

Then, multiple and simplify as usual!

1 X 4= 4
2 X 3= 6

4 = 2
— —
6 3

The answer would be 2
—
3

Hope this helps, brainliest please! :)

6 0
3 years ago
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