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Sidana [21]
3 years ago
12

Workers preparing for the city's Fourth of July celebration shoot an object straight up with an initial velocity of 210 ft/s2 fr

om a height of 3 feet above the ground. Will the object reach a height of 670 feet 0, 1, or 2 times? Use the equation h=16t^2+vt+c where v is the initial velocity in feet per second and c is the initial height in feet of the object above the ground. Use the discriminant to explain your answer. Group of answer choices a) 2 times; The discriminant is positive, so the equation has two solutions. b) 0 times; The discriminant is negative, so the equation has no solutions. c) Cannot determine. There is no discriminant in the equation. d) 1 time; The discriminant is zero, so the equation has one solution.
Mathematics
1 answer:
madam [21]3 years ago
6 0

Answer:

C

Step-by-step explanation:

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8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)
Elenna [48]

Answer:

8. c. (-1, -1)

9. a. (-6, -1)

b. True

Step-by-step Explanation:

8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:

let D(5, 7) = (x_2, y_2)

C(?, ?) = (x_1, y_1)

M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2})

Rewrite the equation to find the coordinates of C

2 = \frac{x_1 + 5}{2} and 4 = \frac{y_1 + 7}{2}

Solve for each:

2 = \frac{x_1 + 5}{2}

2*2 = \frac{x_1 + 5}{2}*2

4 = x_1 + 5

4 - 5 = x_1 + 5 - 5

-1 = x_1

x_1 = -1

4 = \frac{y_1 + 7}{2}

4*2 = \frac{y_1 + 7}{2}*2

8 = y_1 + 7

8 - 7 = y_1 + 7 - 7

1 = y_1

y_1 = 1

Coordinates of endpoint C is (-1, 1)

9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:

let A(-2, -9) = (x_2, y_2)

B(?, ?) = (x_1, y_1)

M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2})

-4 = \frac{x_1 - 2}{2} and -5 = \frac{y_1 - 9}{2}

Solve for each:

-4 = \frac{x_1 - 2}{2}

-4*2 = \frac{x_1 - 2}{2}*2

-8 = x_1 - 2

-8 + 2 = x_1 - 2 + 2

-6 = x_1

x_1 = -6

-5 = \frac{y_1 - 9}{2}

-5*2 = \frac{y_1 - 9}{2}*2

-10 = y_1 - 9

-10 + 9 = y_1 - 9 + 9

-1 = y_1

y_1 = -1

Coordinates of endpoint B is (-6, -1)

b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.

4 0
3 years ago
The difference between a number x and 13 is 21
Setler [38]

Answer:

x = 34

Step-by-step explanation:

3 0
3 years ago
Simplify the following radical <br> Sqrt 126x^13
fenix001 [56]

Answer:

\large\boxed{\sqrt{126x^{13}}=3x^6\sqrt{14x}}

Step-by-step explanation:

Domain:\ x\geq0\\\\\sqrt{126x^{13}}=\sqrt{9\cdot14\cdot x^{12+1}}\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\sqrt{9\cdot14\cdot x^{12}\cdot x^1}=\sqrt{9\cdot14\cdot x^{6\cdot2}\cdot x}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{and}\ (a^n)^m=a^{nm}\\\\=\sqrt9\cdot\sqrt{14}\cdot\sqrt{(x^6)^2}\cdot\sqrt{x}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=3\cdot\sqrt{14}\cdot x^6\cdot\sqrt{x}=3x^6\sqrt{14x}

3 0
3 years ago
Please help with the question above :)!!! ^^
zhannawk [14.2K]
(-1,-9) because if we substituted 1 into x y would be 9 and if we substituted 1/2 into x y would be 3 but if we substituted -1 into x y would be 1/9 so therefore that value is incorrect

7 0
3 years ago
The endpoints of the diameter of a circle are (-7, 3) and (5, 1). What is the center of the circle?
MrMuchimi

Answer:   C. (-1, 2)

<u>Step-by-step-explanation:</u>

The center is the midpoint of the endpoints

 

  →          \bigg(\dfrac{x_1+x_2}{2}       ,      \dfrac{y_1+y_2}{2}\bigg)

    →           \bigg(\dfrac{-7+5}{2}         ,       \dfrac{3+1}{2}\bigg)

    →               \bigg(\dfrac{-2}{2}             ,          \dfrac{4}{2}\bigg)

    →                (-1              ,            2)

The midpoint is (-1, 2)

8 0
3 years ago
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