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4 years ago

The Quadratic Formula x =

Mathematics

2 answers:

Valentin [98]4 years ago

3 0

Answer:

Step-by-step explanation:

I think the answer is 2, because 2a=4, but when simplified, you can divide both the numerator and denominator by 2, making the denominator 4/2= 2.

vaieri [72.5K]4 years ago

3 0

Answer:

Step-by-step explanation:

In this case, a is 2, b is 10, and c is -6.

-10 plus or minus the square root of 100 minus 4 * -12 divided by 4 = -10 plus or minus the square root of 100 - -84 / 4 = -10 plus or minus the square root of 148 / 4 = -10 plus or minus 2 and the square root of 37 / 4 = -5 plus or minus the square root of 37 / 2.

Hope this helps!

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A snowboarder leaves an 8-foot-tall ramp with an upward velocity of 28 feet per second. The function h   16t 2  28t 8 gives

mr_godi [17]

The complete question is;

A snowboarder leaves an 8-foot-tall ramp with an upward velocity of 28 feet per second. The function h = -16t² + 28t + 8 gives the height h (in feet) of the snowboarder after t seconds. The snowboarder earns 1 point per foot of the maximum height reached, 5 points per second in the air, and 25 points for a perfect landing. With a perfect landing, how many total points does the snowboarder receive?

Answer:

Total points earned with a perfect landing = 111 points

Step-by-step explanation:

First of all, let's find the maximum height of the given parabolic function h = -16t² + 28t + 8

h_max = c - (b²/4a)

where: a = -16, b = 28, c = 8

h_max = 8² - 28²/(4*(-16))

h_max = 64 + 784/64

h max = 76.25 ft ≈ 76 ft

The question says that the snowboarder earns 1 point per foot of the maximum height reached.

Thus, the points from the maximum height reached are 76 points

Now, let's find the maximum time in air by solving the equation for h = 0 Thus;

-16t² + 28t +8 = 0

Using quadratic formula,

t = [-28 ± √(28² - (4*-16*8))]/(2*-16)

t = 2 or -0.25

We'll use 2 as we are looking for maximum time.

The question says at maximum time, it's 5 points for each second in the air,

thus, points for seconds in air = 5 × 2 = 10 points

We are told 25 points for perfect landing.

Thus,

Total points earned with a perfect landing = 76 + 10 + 25 = 111 points

7 0

3 years ago

Drag the tiles to the boxes to form correct pairs. Match the trigonometric functions with their values. Please help!!

Ivanshal [37]

Consider this option:
cos π/6=√3/2;
cos π/3=1/2;
tan π/6=1/√3;
tan π/3=√3

7 0

3 years ago

Read 2 more answers

The Earth’s total diameter is 12700 kilometers, with the solidified, ocean-covered crust that is at its thickest 35 kilometers w

Basile [38]

Answer:

The correct answer is 0.0667 centimeters.

Step-by-step explanation:

Diameter of earth is 12700 kilometers.

Width of the solidified ocean crust is 35 kilometers.

Ratio between the diameter of the earth and the solidified crust is $\frac{12700}{35}$ .

Now the earth is shrunken to a size of a basketball with the diameter as 24.2 centimeters. Let the thickness of the Earth's crust in this model be x centimeters.

Ratio between the diameter of the model earth and the solidified crust is $\frac{24.2}{x}$ .

But this ratio of the real Earth and its model must be equal.

∴ $\frac{12700}{35}$ = $\frac{24.2}{x}$

⇒ x = 0.0667 centimeters.

7 0

4 years ago

Skylie has a rectangular garden divided into two smaller rectangular sections: a flower section and a vegetable section. The flo

leva [86]

The first equation is the correct answer

3 0

3 years ago

Product is -8 and sum is 2.<br> What are the two numbers

anygoal [31]

Step-by-step explanation:

Let the two numbers be x and y.

$\therefore \: xy = - 8...(1) \\ and \\ x + y = 2 \\ \\ \therefore \:x = 2 - y...(2)$

From equations (1) & (2)

$(2-y)y=-8\\\therefore \: 2y - y^2 = - 8\\\\\therefore \:y^2 - 2y-8=0\\\\\therefore \:y^2 - 4y+2y-8=0\\\\\therefore \:y(y - 4)+2(y-4)=0\\\\\therefore \:(y+2)(y - 4)=0\\\\\therefore \:(y+2)=0\:\: or\:\:(y - 4)=0\\\\\therefore \:y=-2\:\: or\:\:y =4\\\\ When \:\: y = - 2\implies x = 4\\\\When \:\: y = 4\implies x = - 2\\$

Thus, the two numbers are (4, - 2) or (-2, 4).

6 0

4 years ago