Given G (1,2) and K(8,12) what does it mean to find the point P on line GK such that 3 (GP) = 2 (PK)?

stepladder [879]

Answer:

Equation: (2x+5)4=(2x+8)3

X: 2

Perimeter: 36

Step-by-step explanation:

You would multiply 2x+5 and 4 because there are four sides to a square, so the perimeter of the square would be 8x+20. This would go same for the triangle, making the perimeter 6x+24.

So 8x+20=6x+24 is your new equation. Then, you do the opposite of the order of operations, and add or subtract first. It would be easiest to subtract 20 and 6x from both sides.

That leaves you with 2x=4. Dividing 2 by both sides means x=2

You can plug this in to prove if it is correct.

16+20=36

12+24=36

Lmk if you get it!

8 0

3 years ago

3x + ky = 8

sattari [20]

Answer:

(a): x is 3 and ky is -1

(b): k is -2

Step-by-step explanation:

Let: 3x + ky = 8 be equation (a)

x - 2 ky = 5 be equation (b)

Then multiply equation (a) by 2:

→ 6x + 2ky = 16, let it be equation (c)

Then equation (c) + equation (b):

${ \sf{(6 + 1)x + (2 - 2)ky = (16 + 5)}} \\ { \sf{7x = 21}} \\ { \sf{x = 3}}$

Then ky :

${ \sf{2ky = 3 - 5}} \\ { \sf{ky = - 1}}$

${ \bf{y = \frac{1}{2} }} \\ { \sf{ky = - 1}} \\ { \sf{k = - 2}}$

4 0

3 years ago

Explain how a calculator shows the remainder when you divide 14 5 by 8

Vladimir [108]

If you put 145 divided by 8 the remainder on a calculator would come out as a decimal

8 0

3 years ago

Read 2 more answers

Reduce 7y + 2y 2 - 7 by 3 - 4y.

NARA [144]

Answer:

D. $2y^2+11y-10$ .

Step-by-step explanation:

Given:

We need to reduce $7y+2y^2-7$ by $3-4y$

Solution:

To reduce the equation means we need to subtract the one equation from other.

First we will arrange the equation n proper format we get;

$2y^2+7y-7$ ⇒ equation 1

Also Arranging other equation we get;

$-4y+3$ ⇒ equation 2

Now we will subtract equation 2 from equation 1 we get;

$(2y^2+7y-7)-(-4y+3)$

Now Applying distributive property for the sign we get;

$2y^2+7y-7+4y-3$

Now Arranging the like terms we get;

$2y2+7y-+4y-7-3\\\\2y^2+11y-10$

Hence the reduce form of the given equation is $2y^2+11y-10$ .

7 0

2 years ago

The volume of a cuboid is 672.5 cm3 and it's height is 10 cm. Find it's corresponding base area.

Leto [7]

Well the volume of a cube is lbh that is length×breath×height which is given to be equal to 672.5cm3 thus lbh=672.5cm3
lb×10cm=672.5cm3 (putting value of h) solve and u obtain the Base area! (lb)

3 0

3 years ago

Read 2 more answers