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bulgar [2K]
3 years ago
7

Write the equation in slope intercept form that contains the points -10 -4 and -3 -3

Mathematics
1 answer:
Alenkinab [10]3 years ago
3 0
The slope = \frac{-3+4}{-3+10} =  \frac{1}{7}

equation : y + 4 = 1/7  (x+10) ,

y = (1/7)x - 18/7
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A construction company recently built a thirty-story building on a lakefront in China. Architects and engineers designed the bui
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15 days

Step-by-step explanation:360/24=15

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Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 c
il63 [147K]

Answer:

3.3 cm

Step-by-step explanation:

From the above question, we can draw out a proportion

= Small pentagon = Large pentagon

= x/7 = 7/15

Cross Multiply

x × 15 = 7 × 7

15x = 49

x = 49/15

x = 3.2666666667 cm

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3 years ago
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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.

So, the area of the triangle formed by origin, and the points (4,5) and (-2,5) will be = 0.5 × 5 × 6 = 15 sq. units. (Answer)

8 0
3 years ago
To solve the equation x ^2 - 2x = 3 by the technique of completing the square, you would add 4 to each side of the equation as o
Karolina [17]

Answer:

x = -1

x = 3

Step-by-step explanation:

\sf x^2 - 2x = 3

Add 1 to both sides:

\sf \implies x^2 - 2x+1 = 3+1

Factor the left side:

\sf \implies (x-1)^2 = 4

Square root both sides:

\sf \implies x-1 = \pm2

Therefore:

\sf \implies x-1=-2 \implies x=-1

\sf \implies x-1=2 \implies x=3

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3 years ago
Anyone have a pad let I can join? 3x3÷1​
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Answer:

9

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3 x 3 =9 9 divived by 1

9

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