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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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Find the perimeter of M
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Answer:

m is 14. two triangles are touching it. 7 plus 7 is 14

Step-by-step explanation:

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3 years ago
Given 4x - y = 32, find:<br> a.) x-intercept<br> b.) y-intercept<br> c.) slope
Rashid [163]
You always want to get y by itself and in the form y = mx + b. So first, subtract 4x from both sides to get -y = -4x +32
You also want to get rid of that negative sign. That’s easy, divide everything by negative 1 to get:
y = 4x - 32

We can see the slope is just 4 and the y intercept is -32. The y-intercept is when x equals zero, you’ll get -32 if you do so. The x-intercept is now when y equals zero. Now solve for x. You get 4x = 32, divide by 4 to get 8

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8 0
3 years ago
The side of the base of a square pyramid is increasing at a rate of 666 meters per minute and the height of the pyramid is decre
Otrada [13]

Answer:

105m^3/min

Step-by-step explanation:

We are given that

Base side of square pyramid, a=3 m

Height of square pyramid, h=9m

\frac{da}{dt}=6m/min

\frac{dh}{dt}=-1/min

We have to find  the rate of change of the volume of the pyramid at that instant.

Volume of square pyramid, V=\frac{1}{3}a^2h

Differentiate w.r.t t

\frac{dV}{dt}=\frac{1}{3}(2ah\frac{da}{dt}+a^2\frac{dh}{dt})

Substitute the values

\frac{dV}{dt}=\frac{1}{3}(2(3)(9)(6)+(3^2)(-1)

\frac{dV}{dt}=105m^3/min

Hence, the rate of change of the volume of the pyramid at that instant=105m^3/min

8 0
3 years ago
What is 9 x 2/3 ,.........................................
Drupady [299]
6. Just type into a calculator 2/3 the \n hit the multiply button then put 9. Then your answer will come out 6
6 0
3 years ago
Read 2 more answers
Evaluate the expression.<br> 20 + 3 (8 – 5)
mylen [45]

Answer:

29

Step-by-step explanation:

  • 20 + 3(8-5)
  • 20 + 3(3)
  • 20 + 9
  • 29
6 0
3 years ago
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