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deff fn [24]
4 years ago
13

What is the distance between (6, 2) and (6, -5)? A.-7 units B.3 units C.7 units D.11 units

Mathematics
2 answers:
kaheart [24]4 years ago
7 0

Hey there! The correct option is A. -7 units (see photo for more info)

You can see in the photo I provided that there are 7 spaces in between (6, 2) & (6, -5) & since -5 is negative, the number of units in be will be negative.

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

d1i1m1o1n [39]4 years ago
7 0
The distance is 11 units
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Answer:

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3 years ago
How does an estimate help you place the decimal point when multiplying 3.9 ✖️5.3
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Answer: 20.67
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3 years ago
Without solving, determine the number of real solutions for each quadratic equation.
masha68 [24]

Answer:

1. x^2 − 4x + 3 = 0

b^2 -4ac = (-4)^2 -4(1)*(3)= 4 >0 So we have two real solutions

2. 2n^2 + 7 = −4n + 5

b^2 -4ac = (4)^2 -4(2)*(2)= 0 So we just one real solution

3. x − 3x^2 = 5 + 2x − x^2

b^2 -4ac = (1)^2 -4(2)*(5)= -19 No real solutions

4. 4x + 7 = x^2 − 5x + 1

b^2 -4ac = (-9)^2 -4(1)*(-6)= 105 >0 So we have two real solutions

Step-by-step explanation:

1. x^2 − 4x + 3 = 0

We need to compare this function with the general equation for a quadratic formula given by:

f(x) = ax^2 + bx + c

On this case we see that a=1, b = -4 and c =3

We can find the discriminat with the following formula:

\sqrt{b^2 -4ac}

b^2 -4ac = (-4)^2 -4(1)*(3)= 4 >0 So we have two real solutions

2. 2n^2 + 7 = −4n + 5

We can rewrite the expression like this:

2n^2 +4n +2

On this case we see that a=2, b = 4 and c =2

We can find the discriminat with the following formula:

\sqrt{b^2 -4ac}

b^2 -4ac = (4)^2 -4(2)*(2)= 0 So we just one real solution

3. x − 3x^2 = 5 + 2x − x^2

We can rewrite the expression like this:

2x^2 +x +5

On this case we see that a=2, b = 1 and c =5

We can find the discriminat with the following formula:

\sqrt{b^2 -4ac}

b^2 -4ac = (1)^2 -4(2)*(5)= -19 No real solutions

4. 4x + 7 = x^2 − 5x + 1

We can rewrite the expression like this:

x^2 -9x -6

On this case we see that a=1, b = -9 and c =-6

We can find the discriminat with the following formula:

\sqrt{b^2 -4ac}

b^2 -4ac = (-9)^2 -4(1)*(-6)= 105 >0 So we have two real solutions

8 0
4 years ago
Find a counterexample to show that the statement is false. Assume all sets are subsets of a universal set U = {1, 2, 3, 4, 5}. (
natka813 [3]

Answer:

For subsets A={1,2},B={2,3},C={1,2 5} of U = {1, 2, 3, 4, 5}.

A ∪ (B − C) = (A ∪ B) − (A ∪ C) does not hold.

Step-By-Step Explanation:

U = {1, 2, 3, 4, 5}.

A={1,2}

B={2,3}

C={1,2 5}

For the Left Hand Side

B-C={3}

A ∪ (B − C)= {1,2} ∪ {3} ={1,2,3}

Likewise, the Right Hand Side:

(A ∪ B)={1,2,3}

(A ∪ C)={1,2,5}

(A ∪ B)- (A ∪ C)= {1,2,3}-{1,2,5}={3}

Since, {1,2,3} ≠ {3}, A ∪ (B − C) = (A ∪ B) − (A ∪ C) does not hold.

7 0
3 years ago
When dividing two negative numbers does the order of the numbers matter? And why?
skelet666 [1.2K]

Answer:

It doesn't matter

Step-by-step explanation:

Negative by negative = positive

4 0
3 years ago
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