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sveticcg [70]
3 years ago
5

[khan academy]

Mathematics
1 answer:
deff fn [24]3 years ago
3 0

Answer: point 1 is (-4,-6) point 2 is (-4,8)

Step-by-step explanation:

point D is located at (-4,1) with the x-coordinate being -4 and the y-coordinate being 1 so to get the points 7 units away with the same x-coordinate you:

1. subtract 7 from the y-coordinate in the original point (-4,1) and get (-4,-6) your first point

2. add 7 to the y-coordinate in the original point (-4,1) and get (-4,8) your second point

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Answer:

7.07

Step-by-step explanation:

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3 years ago
You are filling a 5-L fish tank using a 250-mL container. How many full containers are required to fill the fish tank?
VLD [36.1K]
5L is 5000 mLso it would take 20
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Adele is 5 years older than Timothy. In three years, Timothy will be of Adele’s age. What is Adele’s current age?
lyudmila [28]

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8 0
3 years ago
Farmer Brown has 42 animals, which are cows and chickens. They have a total of 120 legs. Write a system of equations, show your
SCORPION-xisa [38]

Answer:

The system of equations is:

x + y = 42

4x + 2y = 120

And there are 24 chickens.

Step-by-step explanation:

We know that the total number of cows (x) plus the total number of chickens (y) is 42, because Farmer Brown has 42 animals.

We also know that cows (x) have 4 legs and so 4 times the number of cows is the number of cow legs. And chickens (y) have 2 legs, so the number of chickens times two represents the total chicken legs. The sum of 4x + 2y is 120 because there are 120 legs in total.

To solve the system of equations, first solve each equation for y.

In the first equation:

x + y = 42

Subtract x from both sides to isolate y.

y = 42 - x

Second equation:

4x + 2y = 120

Subtract 4x from both sides

2y = 120 - 4x

Divide both sides by 2

y = 60 - 2x

Now that the y's are isolated in both equation, you can put them into 1 equation. Where y = y:

y = 42 - x

y = 60 - 2x

42 - x = 60 - 2x

Add 2x to both sides

42 + x = 60

Subtract 42 from both sides

x = 18

Since x is the number of cows, we know that Farmer Brown has 18 cows.

Now we can substitute the x value into one of the equations:

y = 42 - x

y = 42 - (18)

y = 24

The number of chickens is represented by y, so there are 24 chickens.

3 0
2 years ago
Factorise each of the following.
Alborosie

I will do (a) only.

6rt - 3st + 6ru - 3su

6rt - 3st = 3t(2r - s)

6ru - 3su = 3u(2r - s)

Answer: (3t + 3u)(2r - s)

Do the rest likewise.

7 0
2 years ago
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