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2 years ago

A boy is twice as old as his sister who is x years old now. In 2 years, the boy will be

Mathematics

1 answer:

Maksim231197 [3]2 years ago

4 0

Answer and Step-by-step explanation:

2x + 2 is the answer.

If the boy is twice as old, and the sister's age is represented by x, then we multiply 2 to x to represent the boy's age.

Then we add 2 when 2 years pass by.

#teamtrees #PAW (Plant And Water)

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Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also fi

Nastasia [14]

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

$x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}= \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}$

point of intersection is (8/3,14/3,8/3)

and ratio of division is 2:1

5 0

3 years ago

Find the length of XY. Imported Asset 4 8 16 11.3

kompoz [17]

Answer: 8 (The second option).

Step-by-step explanation:

1. To solve this exercise you draw a line to a point O, this lines will bisect the angle of Z∠60°. Then will obtain two into two right triangles with two angles of 30° at the point Z.

2. The lenght XY will be twice the lengt XO or YO.

3. Let's calclate XO as following:

$sin(30)=\frac{XO}{8}\\XO=4$

4. Then, XY is:

$XY=2XO\\XY=2*4\\XY=8$

7 0

3 years ago

I need help with both

Nookie1986 [14]

Hey There

According to me,
no 1 is
SQUARE

no. 2 is
CONGRUENT

HOPE THIS HELPS

3 0

3 years ago

Read 2 more answers

One week, seventy-two percent of the animals that cam to a veterinary hospital were dogs. If there were 230 animals total, how m

pentagon [3]

Answer:

165.6

Step-by-step explanation:

165.6 is 72% of 230

3 0

3 years ago

It takes 36 nails to weigh one pound. How many nails would it take to weigh 7 wholes and 2/3 pounds?

o-na [289]

36 * 7 gives you the number of nails in the whole pounds
36 * 2/3 gives you the fraction part

7 * 36 = 252
2/3 * 36 = 24

Total nails = 252 + 24 = 276 nails

5 0

3 years ago