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Murljashka [212]
3 years ago
14

Please help with 5 and 6

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
5 0

The answer is a and c

Lady_Fox [76]3 years ago
5 0

Answer:

The answer for 6 is B.

Step-by-step explanation:

In order to finish completing the square you need to half the coefficient in front of x, square it and add and subtract it in order to not change the value of the expression.

(x2 + 10x + 25) + 13 - 25

(x + 5)2 -12

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Find the distance between the origin and the points (-8,4)​
Papessa [141]

Hi, I'm happy to help!

To solve this, we need to find the distance from the origin to the y coordinate value, x coordinate value, then use the Pythagorean Theorem.

The origin of a graph (center) has the coordinates (0,0), so this will be our other coordinates.

First, let's find the x coordinate distance change. We move from the x coordinate 0, to the x coordinate -8, <u>so we move 8 x units.</u>

Next, let's find the y coordinate distance change. We move from the y coordinate 0, to the y coordinate 4, <u>so we move 4 y units.</u>

Now that we have these two leg lengths, let's imagine this as a right triangle. Moving from the origin, we draw a line from (0,0), to (-8,0). Then, we draw a line from (-8,0) to (-8,4). Now, draw a direct line from (0,0), to (-8,4). We have the length of the first(8) and second(4) lines, and we need to find the third line length to find our answer. To do this, we use the Pythagorean Theorem, which states that a²+b²=c². This says that, in a right triangle, the square of the two shorter lengths equals the square of the longest length. The longest length is what we are solving for.

Let's say x distance is a, and y distance is b. Now, apply the values:

8²+4²=c²

64+16=c²

80=c²

Now, we need to find the value of c, so we need to find the square root of 80.

√80=c

8.9442...=c

Since the number goes on forever, we need to round it. For this example, let's round it to the nearest tenth, which would be 8.9.

<u>To summarize the distance between the origin and the coordinates (-8,4), is about 8.9.</u>

I hope this was helpful, keep learning! :D

8 0
2 years ago
Boys height: 5 ft 6 inches<br> Boys shadow: 8 ft<br> Tree Ht: ?<br> Tree shadow: 46 ft
igor_vitrenko [27]

Answer:

43.6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the range of the given function? {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}
Natali5045456 [20]

Answer: R = {0, -3, -9, 5, 7}

Explanation: The range is the set of all y-coordinates for our ordered pairs.

So the range for this relation is {0, -3, -9, 5, 7}.

7 0
3 years ago
Read 2 more answers
Dan bought 1/8 of a pound of
Alja [10]

Answer:

he bought 1 pound

Step-by-step explanation:

1/8 + 7/8 = 7+1=8, same denominator so it stays, =8/8=1

4 0
3 years ago
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What is the solution set -4.9x +1.3 &gt; 11.1
Irina18 [472]

Answer:

x < - 2

Step-by-step explanation:

given - 4.9x + 1.3 > 11.1 ( subtract 1.3 from both sides )

- 4.9x > 9.8 ( divide both sides by - 4.9 )

Remembering to reverse the direction of the inequality symbol as a result of dividing by a negative quantity.

x < - 2 ← inequality reversed

solution set : x ∈ ( - ∞, - 2 )


8 0
3 years ago
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