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Ivenika [448]
3 years ago
9

How would you solve this?

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0
7 / 0.5 (1/2) is 14 or 
0.5 (1/2) / 7 is 0.07142857 Repeating

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Complete the square to rewrite y = x^2 + 6x + 3 in vertex form. Then state whether the vertex is a maximum or a minimum and give
bixtya [17]

Answer:

Let's complete the square first.

y = x² + 6x + 3

  = (x² + 6x + 9) - 6

  = (x + 3)² - 6

Therefore, the vertex is (-3, -6) and since the coefficient of (x + 3)² is positive, the vertex is a minimum.

4 0
3 years ago
Read 2 more answers
The combined age of three relatives is 120 years. James is three times the age of Dan, and Paul is two time the sum of the ages
BaLLatris [955]

Answer:

Step-by-step explanation:

Let x represent Dan's age

3x be James'age

Paul 2(3x+x)=6x+2x

Suming all ages

x+3x+6x+2x=120

Solving for x

12x=120

x=10 (Dan's age)

3×=30 (James'age)

6×+2×=80(Paul's age)

8 0
3 years ago
What is the equation of the directrix of the parabola given by the equation (y − 3)2 = 8(x − 5)?
Licemer1 [7]
The vertex of the parabola is at (5,3) and its focal length is 8/4 = 2.
Since it opens to the right, the directrix will be a vertical line 2 units to the left of the vertex, so its equation will be x=(5-2), or x=3
8 0
3 years ago
In APQR, p = 690 cm, a = 290 cm and r=450 cm. Find the measure of ZQ to the
katen-ka-za [31]

9514 1404 393

Answer:

  16.8°

Step-by-step explanation:

The Law of Cosines can be rearranged to give the angle measure.

  angle Q = arccos((p² +r² -q²)/(2pr))

  angle Q = arccos((690² +450² -290²)/(2×690×450))

  angle Q = arccos(594500/621000) ≈ 16.7985°

The measure of angle Q is about 16.8°.

3 0
3 years ago
X = y - 3
Leviafan [203]
The answer is A. (1, 4), because when the values are substituted in to the equations, you get 1 = 4 - 3 and 1 + 12 = 13, which are both correct. I hope this helps!
3 0
3 years ago
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