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Arturiano [62]

Answer

Find out the length of OP .

To prove

As given

In △JKL, JO=44 in.

Now as shown in the diagram.

JP , MK, NL be the median of the △JKL and intresection of the JP , MK, NL be O .

Thus O be the centroid of the △JKL .

The centroid divides each median in a ratio of 2:1 .

Let us assume x be the scalar multiple of the OP and JO .

As given

JO = 44 in

2x = 44

x = 22 in

Thus the length of the OP IS 22 in .

7 0

3 years ago

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The midpoint of \overline{\text{AB}}

Schach [20]

Answer:

The coordinates of b are: B=(-7,-8)

Step-by-step explanation:

We are given the coordinates of the midpoint of $\overline{\text{AB}}$ as M=(-5,-2).

We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.

Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:

$\displaystyle x_m=\frac{x_a+x_b}{2}$

$\displaystyle y_m=\frac{y_a+y_b}{2}$

We know xa=-3 and xm=-5. Solve the first equation for xb:

$2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a$

Substituting:

$x_b=2\cdot (-5)-(-3)=-10+3$

$x_b=-7$

We can solve the second equation for xb and get:

$y_b=2y_m-y_a$

Since ya=4 and ym=-2, then:

$y_b=2\cdot (-2)-(4)=-4-4$

$y_b=-8$

Thus, the coordinates of b are: B=(-7,-8)

4 0

3 years ago

Find the equation 3x-1=11

g100num [7]

Answer:

x = 4

Step-by-step explanation:

3x - 1 = 11

3x = 1 + 11

3x = 12

x = 12/3

x = 4

Thus, The value of x is 4

-TheUnknownScientist

8 0

3 years ago

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1. Y varies inversely with x. If y = 9 when x = -5, find the value of x when y=-6.

Gelneren [198K]

Answer:

Step-by-step explanation:

1 ) Y∝ 1 / X

Y = k / X

Y = 9 , X = -5

Putting the values in the relation above

9 = k / - 5

k = -45

Y = - 45 / X

Put Y = - 6

- 6 = - 45 / X

X = - 45 / -6

= 7.5

2 )

Luke and Nora can peel 12 carrots in 5 minutes

in 1 minute Luke and Nora can peel 12 / 5 carrot

in 1 minute Luke alone can peel 12/ 11 carrot .

In 1 minute Nora alone will peel (12 / 5 - 12/ 11 ) carrot

(12 / 5 - 12 / 11 )

= 2.4 - 1.1

= 1.3 carrot

In 1 minute Nora alone will peel 1.3 carrot

1.3 carrot in 1 minute

8 carrot in 8 / 1.3 minute

= 6.15 minutes.

In 1 minute Nora alone will peel 8 carrot in 6.15 minutes working alone.

3 0

3 years ago

Which equation is the inverse of y=2x^2-8

shusha [124]

Step-by-step explanation:

In order to get the inverse of equation, we will interchange the variables and solve for x and y as follows.

$y = 2x^{2} - 8$

whereas, $y + 8 = 2x^{2}$

or x = $\sqrt{\frac{y+8}{2}}$

Now, on interchanging the variable we will get the equation as follows.

$x = 2y^{2} - 8$

$x + 8 = 2y^{2}$

y = $\sqrt{\frac{x+8}{2}}$

4 0

3 years ago

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