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swat32
3 years ago
7

What is the area of the triangle? Please help

Mathematics
1 answer:
juin [17]3 years ago
6 0

Answer:

6 square inches

Step-by-step explanation:

The formula for area of a triangle is:

1/2(b*h)

Therfore;

b=4, h=3

So,

1/2(4*3)

1/2(12)

=1/2 * 12

= 6 square inches

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Answer:

2\9=1

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Step-by-step explanation:

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PLease help geometry question
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Let the length equal x

Then the width would be 4x + 8 (8 feet more than 4 times the length)

Area = length x width:

5,472 = x * 4x+ 8

Simplify:

5472 = 4x^2 + 8x

Subtract 5472 from both sides:

4 x^2 + 8x - 5472 = 0

Use the quadratic formula to solve for x.

X = 36

Now you know the length is 36 feet

The width = 4(36) + 8 = 152 feet

Now find the perimeter: 152 + 152 + 36 + 36 = 376 feet.

The answer is B. 376

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Find the area of the triangle formed by the origin and the points of intersection of parabolas y=− 1/3 (x−1)^2+8 and y=x^2−2x−3.
Kobotan [32]

Answer:

The area of the triangle formed by origin, and the points (4,5) and (-2,5) will be 15 sq. units.

Step-by-step explanation:

The two parabolas are y = - \frac{1}{3}(x - 1)^{2} + 8 and y = x² - 2x - 3.

Now, solving those two equations we will get the points of intersection.

So, - \frac{1}{3}(x - 1)^{2} + 8 = x^{2} - 2x - 3

⇒ - (x - 1)² + 24 = 3x² - 6x - 9

⇒ -x² + 2x - 1 + 24 = 3x² - 6x - 9

⇒ 4x² - 8x - 32 = 0

⇒ x² - 2x - 8 = 0

⇒ x² - 4x + 2x - 8 = 0

⇒ (x - 4)(x + 2) = 0

So, x = 4 or - 2.

Now, for x = 4 , y = 4² - 2(4) - 3 = 5 and the point of intersection is (4,5).

Or, for x = - 2, y = (- 2)² - 2(- 2) - 3 = 5 and the point of intersection is (-2,5).

Now, points (4,5) and (-2,5) make a straight line parallel to the x-axis at a perpendicular distance of 5 units from origin and its length is (4 - (- 2)) = 6 units.

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8 0
3 years ago
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