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3 years ago

6

the area of the triangle formed by points of intersection of parabola y=a(x-3)(x+2) with the coordinate axes is 10. find a if it

is known that parabola opens upward

1 answer:

Goshia [24]3 years ago

6 0

Answer

1/4 × 6 × (5a) = 12

15a=12

a= 4/5

Step-by-step explanation:

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The fictional rocket ship Adventure is measured to be 65 m long by the ship's captain inside the rocket.When the rocket moves pa

Gwar [14]

Answer:

a) t₀ = 1.73205 s

b) 1.0 C

Step-by-step explanation:

(A)

The time dilation (t) observed by an observer at rest relative to the time (t₀) measured by observer in motion is;

$t = \frac{t_0}{\sqrt{1 - \frac{V^2}{C^2}}}$

$t_0 = t \sqrt{1 - \frac{V^2}{C^2}}$ time measured by captain

⇒ $t_0 = 2.0 \sqrt{1 - \frac{0.5^2C^2}{C^2}}$ V = 0.5 c

⇒ t₀ = 1.73205 s

(B)

Speed of the light never exceeds by its real value. The speed of the light in any frame of reference is constant.

∵ It will be "1.0C" or just "C"

7 0

3 years ago

The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81 degrees. What is the ap

GuDViN [60]

Answer:

A. 5.19 units

Step-by-step explanation:

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}$

Given:

$\theta$ = 81°
Arc length = 7.34 units

Substituting given values into the equation and solving for r:

$\implies 7.34=2 \pi r\left(\dfrac{81^{\circ}}{360^{\circ}}\right)$

$\implies 7.34=r\left(\dfrac{18 \pi}{40}\right)$

$\implies 7.34 \cdot 40=18 \pi r$

$\implies 293.6=18 \pi r$

$\implies r=\dfrac{293.6}{18 \pi}$

$\implies r=5.19 \sf \: units \:(2\:dp)$

7 0

1 year ago

Read 2 more answers

Which technique is most appropriate to use to solve each equation? Drag the name of the technique into the box to match each equ

NemiM [27]

For the first equation, the answer is C) completing the square.
For the second equation, the answer is B) zero product property.

For the first equation, we can easily complete the square by finding half of b and squaring it; then we can take the square root of both sides and solve the equation.

For the second equation, since it is already factored, we use the zero product property to solve it.

7 0

3 years ago

What is the approximate circumference of a circle with a diameter of 14 inches, rounded to the nearest inch? (Use 3.14 as an app

soldi70 [24.7K]

Answer:

44 in.

Step-by-step explanation:

pi = 3.14 (in our case)

circumference = diameter x pi

circ. = 14 x 3.14, which equals to 43.96

round that and you get 44 in.

5 0

2 years ago

Solve for x. See the image below!

Nataly [62]

Answer:

x = 17

Step-by-step explanation:

in such a constellation (two beams from the same point of origin cut through the same circle) the relative relation between the segments of these beams to the overall length of the beam have to be the same :

7 × (7+x) = 8 × (8+13)

49 + 7x = 8 × 21 = 168

7x = 119

x = 17

4 0

2 years ago