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Vsevolod [243]
2 years ago
7

In rectangle GRAM below GA =4×+17 and MR= 7x-4 find the value of x and the lenghts of GA MR

Mathematics
1 answer:
il63 [147K]2 years ago
7 0

Answer: x=7, GA=MR=14

Step-by-step explanation:

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FIRST CORRECT ANSWER GETS BRAINLIEST, 43 ISNT THE ANSWER THANKS
tatuchka [14]

Step-by-step explanation:

10+2+2+7+5+3+8+8= 21+24= 45units

5 0
3 years ago
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Use the given information to write the equation of the parabola.
m_a_m_a [10]

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

  • Horizontal parabola [Standard form]: (y – k)² = 4p(x – h)
  • Vertical parabola [Standard form]: (x – h)² = 4p(y – k)

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.

8 0
3 years ago
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mark has a board that is 12 feet long. he cuts the board into 8 pieces that are the same lenghth. how long is each piece?
Anna71 [15]
(12 ft) / 8 = 1.5 ft = 1 foot 6 inches
3 0
3 years ago
You are a supervisor for a home cleaning business,
irinina [24]

Answer:

option a

Step-by-step explanation:

i think this because my teacher in my business class stated this before to the whole class but I was distracted so it can totally be wrong if it is my bad

8 0
2 years ago
63 is 90% of what number in a number line
lisov135 [29]
If you're trying to say what's 90% of 63, you divide 63 by 10 which is 6.3 then times by 9 which is 56.7
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