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2 years ago

6

Mitzi has 38 coins.She divides the coins equally between herself and her 3 brothers.How many coins does each person get?Are any

coins left over?

1 answer:

docker41 [41]2 years ago

3 0

38 divided by 4 is 9.5. They each get 9. Yes there are 2 left

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5. Find the discriminant of 15x2 = 4x – 1 and describe

diamong [38]

Answer:

a) The discriminant of the equation = - 44

b)The nature of the roots will be imaginary.

c) $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

Step-by-step explanation:

Here, the given expression is $15x^{2} = 4x -1$

or, $15x^{2} - 4x + 1 = 0$

Now the discriminant (D) of a quadratic equation $ax^{2} +b x + c = 0$

D = $b^{2} - 4ac = (-4)^{2} - 4(15) (1) = 16 - (60) = -44$

Hence, the discriminant of the equation = - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : $x = \frac{-b \pm \sqrt{b^{2} - 4ac} }{2a}$

So, here $x = \frac{-(-4) \pm \sqrt{D} }{2a} = \frac{4 \pm \sqrt{(-44 )} }{30}$

So, either $x = \frac{4 + \sqrt{(-44 )} }{30} or, x = \frac{4 - \sqrt{(-44 )} }{30}$

or, $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

8 0

2 years ago

A student ran a distance of 2 1/2 miles each day for 9 days. The student ran a distance of 5 3/4 miles each day for the next 3 d

cestrela7 [59]

Answer:

39.75 miles

Step-by-step explanation:

5 0

3 years ago

What is an equation of the line that passes through the point (-6, -7) and is

Alexandra [31]

Answer:

Step-by-step explanation:

Product of slope of perpendicular lines = -1

6x + 5y = 30

Write this equation in y = mx + b form

5y = -6x + 30

y = $\frac{-6}{5}x+\frac{30}{5}$

$y=\frac{-6}{5}x + 6$

Slope of this line m₁ = -6/5

m₁ * m₂ = -1

m₂ = -1÷m₁ = -1 * $\frac{5}{-6}$

$m_{2}=\frac{5}{6}$ & (-6 , -7)

Equation of the required line: y - y₁ = m (x - x₁)

$y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2$

8 0

2 years ago

The top of a coffee table is the shape of a rectangle the length of the top of the coffee table is 3.5 feet in the area is 10.5

velikii [3]

Area=length times width

area=10.5
length=3.5

10.5=3.5 times width
divide both sides by 3.5
3=width
width=3ft

3 0

2 years ago

The base of this regular right pyramid is a square. What is its surface area?

zubka84 [21]

Answer:

○ A) 21 ft.²

Step-by-step explanation:

${a}^{2} + 2a \sqrt{ \frac{ {a}^{2}}{4} + {h}^{2} } = S. A. \\ \\ {3}^{2} + 2(3) \sqrt{ \frac{ {3}^{2} }{4} + {2}^{2}} = 24 \\ \\ 24 ≈ 21$

I am joyous to assist you anytime.

5 0

3 years ago