All categories

3 years ago

Points J and K lie in plane H.

Mathematics

2 answers:

Vlad [161]3 years ago

6 0

Answer: 1

Step-by-step explanation:

From the given picture, it can be seen that there is a plane H on which two pints J and K are located.

One of the Axiom in Euclid's geometry says that <em>"Through any given two points X and Y, only one and only one line can be drawn "</em>

Therefore by Axiom in Euclid's geometry , for the given points J and K in plane H , only one line can be drawn through points J and K.

dmitriy555 [2]3 years ago

6 0

1 is the answer bruvy

You might be interested in

Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

8 0

2 years ago

If 3x + 6 = 18, then x = ?

zaharov [31]

Answer:

X=4

Step-by-step explanation:

$3x + 6 = 18 \\ 3x = 18 - 6 \\ 3x = 12 \\ x = 4$

7 0

2 years ago

Simplify. e^(in x)=, e^(in 5)=, e^(in 3x)=

Pepsi [2]

Answer:

Step-by-step explanation:

e^ lnx = x

e^ ln5 = 5

e^ ln 3x = 3x

I think you get the idea... e is an inverse operation to ln :o

5 0

2 years ago

Solve this problem on paper using all four steps. A girl scout troop sold cookies. If the girls sold 5 more boxes the second wee

Varvara68 [4.7K]

This is a problem where you should make an equation.
Let's say x is the first week. It would mean
First Week : x
Second Week : x + 5
Third Week : 2(x+5)
You need to add these up to make your equation. Your equation will look something like this :
$x+x+5+2(x+5) = 431$
Now you simplify.
$2x+5+2x+10 = 431$
$4x+15 = 431$
$4x = 416$
$x = 104$
That means they sold 104 Boxes in the First Week.
$104+5=109$
So they sold 109 Boxes the Second Week.
109 x 2 = 218
And they sold 218 Boxes the Third Week.

I hope I was useful!

3 0

3 years ago

Read 2 more answers

Jan’s age is 3 years less than twice Tritt’s age. The sum of their ages is 30. Write an equation that could be used to find the

musickatia [10]

Answer:

x=2y-3

Step-by-step explanation:

x=Jan's age

y=Tritt's age

4 0

3 years ago