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3 years ago

Complete the following proof by dragging and dropping the correct reason in the spaces bellow

Mathematics

1 answer:

almond37 [142]3 years ago

6 0

Given:

Q is between P and R, R is between Q and S, $PR=QS$ .

To prove:

$PQ=RS$

Solution:

The two column proof is:

Statements Reasons

1. Q is between P and R 1. Given

2. $PQ+QR=PR$ 2. Segment addition postulate

3. R is between Q and S 3. Given

4. $QR+RS=QS$ 4. Segment addition postulate

5. $PR=QS$ 5. Given

6. $PQ+QR=QR+RS$ 6. Substituting property of equality

7. $PQ+QR-QR=QR+RS-QR$ 7. Subtraction property of equality

8. $PQ=RS$ 8. Simplify

Hence proved.

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How can you tell when a quadratic equation has no real solutions?

Alona [7]

Answer: The correct option is (A). When the radicand is negative

Step-by-step explanation: We are given to select the correct option by which we can tell that a quadratic equation has no real solutions.

We know that for the quadratic equation

$ax^2+bx+c=0,~a\neq 0$ the radicand is given by

$D=b^2-4ac.$

Based on the radicand "D", we have the following rules:

(i) If D > 0 (positive), then the two solutions are real and unequal.

(ii) If D = 0, then the two solutions are equal.

(iii) If D< 0 (negative), then the two solutions are complex (not real).

Thus, when the radicand is negative, then the quadratic equation has no real solutions.

Option (A) is correct.

5 0

3 years ago

What's the total area of a covered box with a length of 4 ft, a width of 3 ft, and a height of 6 ft? A. 108 sq ft B. 84 sq ft C.

3241004551 [841]

Answer:

Total surface area of the box = $108 feet^2$

Step-by-step explanation:

Dimensions of the box:

$Length(L)= 4 feet\\Width(W)= 3 feet\\Height(H)= 6 feet$

The box is in the shape of a cuboid,

Total surface area of a cuboid:

$= 2(L*W+W*H+H*L)\\ = 2(4*3+3*6+6*4)\\ = 2(12+18+24)\\ =2(54)\\ = 108 feet^2\\$

The Total surface area of the box is $108 feet^2$

6 0

3 years ago

A long-distance company charges a $5 per month line fee plus $0.25 per minute for long distance phone calls. Write and solve an

Olegator [25]

Answer:

84 minutes (1 hr and 24 mins)

Step-by-step explanation:

If the bill is $26, then that is what the equation will be equal to.
$5 fee will be added
$0.25 is 'per minute' so this is the number with the $x$

Let's put it together:

26 = 5 + .25 $x$

Subtract the 5...

21 = .25 $x$

Divide...

$\frac{21}{.25} = 84$

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4 years ago

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4 years ago

Please help me !!!!!

olganol [36]

√ab=(√a)(√b)

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√50=(√25)(√2)=5√2

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4 0

4 years ago

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