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4 years ago

If A is (-2,6) and B is (4,-2), what is the midpoint of AB

1 answer:

4 0

Given two points:
A(x₁,y₁) and B(x₂,y₂) the midpoint would be:
M((x₁+x₂)/2 , (y₁+y₂)/2)
In this case:_
A(-2,6) and B(4,-2); the midpoint would be:
M((-2+4)/2 , (6-2)/2)=(1,2)

Answer: the midpoint of AB is (1,2)

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Calculate the value of P and of Q that satisfy the following simultaneous linear equations.

luda_lava [24]

0.5p -3q =11
5p +6q =2

1) ×-2

--> 3. -p +6q =-22

2) - 3)

6p =24

p =4

sub into 2)

5(4) +6q =2

20 +6q =2

6q =2 -20 =-18

q=-3

5 0

3 years ago

You have 12 coins, one of which is fake. The fake coin is indistinguishable from the rest except that it is heavier. Can you det

Anton [14]

Yep!
Weighing #1: Start off by splitting the pile of 12 coins evenly into two piles, 6 in each pile. Put one pile on each side of the balance. The side that is weighed down has the fake coin it in. Ignore the other 6 coins.

Weighing #2: Now you have 6 coins left. Split the pile evenly again, 3 in each pile. Repeat the same process and put each pile on one side of the balance. The side that is weighed down has your fake coin in it. Ignore the other 3 coins.

Weighing #3: You have 3 coins left. Take two coins, whichever two you like, and weigh them. If they weigh the same, then the one you didn't weigh is the fake one. If one is heavier, then that heavier one is your fake coin.

5 0

4 years ago

Read 2 more answers

Which of the following expressions are equivalent to - -a/b

riadik2000 [5.3K]

Answer:

B) $-\frac{a}{-b}$

Step-by-step explanation:

1. First, we have to know that two negatives equal positive.

2. Given the information above, $-\frac{-a}{b}$ can simplify to $\frac{a}{b}$ .

3. Let's go through each answer choice and see which one also simplifies to $\frac{a}{b}$ .

$\frac{a}{-b}$
$-\frac{a}{b}$

$-\frac{a}{-b}$
$\frac{a}{b}$

Therefore, the answer is B) $-\frac{a}{-b}$ .

4 0

3 years ago

Can three segments with length 4 cm, 6cm, and 11 cm be assembled to form an acute triangle, a right triangle, or an obtuse trian

adoni [48]

Answer:

Step-by-step explanation:

According to the Inequality Theorem, the sum of 2 side of a triangle must always be longer than the third one. 4 + 6 = 10 which is not larger than 11.

6 0

3 years ago

Four expressions are shown bellow

Irina18 [472]

Answer:

$2(4x + 2)$

and

$8x + 4$

Step-by-step explanation:

Because if you simplify the equation theb you get 8x+4 therefore D is equivalent to it. A is also equal to D which make it equivalent to the equation as well.

3 0

4 years ago

Read 2 more answers