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3 years ago

What is the smallest number that increases by 12 when it is flipped and turned upside down?

Mathematics

1 answer:

Law Incorporation [45]3 years ago

7 0

The smallest number that increases by 12 when it is flipped and turned upside down is 86

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Find the sum of the squares of the roots of 3x^2 + 4x + 12 = 0

Contact [7]

Answer:

-56/9

Step-by-step explanation:

Let p and q be the roots of the equation.

So, here's how we're gonna work it out:

${p}^{2} + {q}^{2} = \\ {p}^{2} + {q}^{2} +2 pq - 2pq = \\ ( {p}^{2} +2pq + {q}^{2}) - 2pq = \\ {(p + q)}^{2} - 2pq$

Vieta's formulas give us the sum and the product of the roots of a quadratic equation. Using them we obtain:

p + q = -b / a = - 4 / 3
p × q = c / a = 12 / 3 = 4

${(p + q)}^{2} - 2pq = \\ {( - \frac{ 4}{3} )}^{2} - 2 \times 4 = \frac{16}{9 } - 8 = \\ \frac{16 - 72}{9} = - \frac{56}{9}$

4 0

3 years ago

The volume of the oblique cylinder is 24 ft3.

Assoli18 [71]

Answer:

A: The height of the cylinder is 3.4 ft.

C: The diameter of the cylinder is about 3 ft.

E: A right cylinder with the same height and radius as this oblique cylinder would also have a volume of 24 ft3.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Write the equation of the line shown in point-slope form. (2,1) (3,8)

Ulleksa [173]

Answer:

The line equation that passes through the given points is 7x – y = 13

Explanation:

Given:

Two points are A(2, 1) and B(3, 8).

To find:

The line equation that passes through the given two points.

Solution:

We know that, general equation of a line passing through two points (x1, y1), (x2, y2) in point slope form is given by

$\frac{(y- y1)}{(x-x_1)}= \frac{((y_2- y_1)}{(x_2- x_1 )}$

${(y- y1)= \frac{((y_2- y_1)}{(x_2- x_1 )}\times(x-x_1)$ ..........(1)

here, in our problem x1 = 3, y1 = 8, x2 = 2 and y2 = 1.

Now substitute the values in (1)

$(y-8) = \frac{(1 - 8)}{(2 - 3)}\times(x- 3)$

$(y -8) = \frac{(- 7)}{(-1)}(x-3)$

y – 8 = 7(x – 3)

y – 8 = 7x – 21

7x – y = 21 – 8

7x – y = 13

Hence, the line equation that passes through the given points is 7x – y = 13

3 0

3 years ago

HELPPPPP HELPPPPP HELPPPP!!!!! AHHHHHHHHHHHHHHJJJJSJDJDJ

erica [24]

Answer:

QRS equals to 91

Step-by-step explanation:

50 + 41 = 91

8 0

3 years ago

Choose the triangle that seems to be congruent to △AEC. △BFC △ABD △EFD

Mashutka [201]

Answer. Triangle ABD

Explanation: There’s no thinking in this, because you can use your eyes to look for the answer. Not all questions will have this type of question. But they do seem pretty similar to me.

6 0

2 years ago