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3 years ago

Select the correct answer.

Mathematics

1 answer:

malfutka [58]3 years ago

6 0

Answer:

Step-by-step explanation:

x - 4 squared provides 2 real zeros that are the same. These two are not distinct.

The other two come from x^2 - 7x + 10 which has a discriminate of

sqrt(7^2 - 4*1*10) = sqrt(9) = +/- 3 leading to something real and different.

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Simplify square root of 3 multiplied by the fifth root of 3.

almond37 [142]

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}
\\\quad \\% rational negative exponent
a^{-\frac{{ n}}{{ m}}} =
 \cfrac{1}{a^{\frac{{ n}}{{ m}}}} \implies \cfrac{1}{\sqrt[{ m}]{a^{ n}}}\qquad\qquad % radical denominator
\cfrac{1}{\sqrt[{ m}]{a^{ n}}}= \cfrac{1}{a^{\frac{{ n}}{{ m}}}}\implies a^{-\frac{{ n}}{{ m}}} \\\\
$

$\bf -----------------------------\\\\
thus\qquad \sqrt{3}\cdot \sqrt[5]{3}\implies \sqrt[2]{3^1}\cdot \sqrt[5]{3^1}\implies 3^{\frac{1}{2}}\cdot 3^{\frac{1}{5}}
\\\\\\
3^{\frac{1}{2}+\frac{1}{5}}\implies 3^{\frac{7}{10}}\implies \sqrt[10]{3^7}\implies \sqrt[10]{2187}$

5 0

3 years ago

CATNUMATICAL Reason Quantitatively Rachel, Timothy, and Robyn each make

valkas [14]

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the dimension of each prism is not given.

So, I will give a general explanation.

From the question, we understand each prism.

So, to get the new volume; we simply add up the volume of each prism.

For instance (we want to make assumptions)

Rachel

$Length = 4; Width = 3; Height = 4$

Timothy

$Length = 6; Width = 3; Height = 4$

Robyn

$Length = 4; Width = 8; Height = 3$

So, we have:

$Volume = Length * Width * Height$

For each, we have:

$Rachel =4* 3* 4 =48$

$Timothy= 6* 3* 4 = 72$

$Robyn = 4* 8* 3 = 96$

The volume of the new

$Volume = 48 + 72 + 96$

$Volume = 216$

The dimension of new prism.

Using the assumed values, we have:

$Length = 4; Width = 3; Height = 4$

$Length = 6; Width = 3; Height = 4$

$Length = 4; Width = 8; Height = 3$

Now, we consider the measure of the sides

Sides with the same length will form a new side.

Side 1

$Length =4$ --- Rachel

$Height = 4$ ---- Timothy

$Length = 4$ --- Robyn

The above lengths have the same measure. So, one of the sides of the new prism will assume the value of this length.

So:

$Length = 4$ -- for the new prism

Side 2

$Width =3$

$Width = 3$

$Height = 3$

The above lengths have the same measure. So, one of the sides of the new prism will assume the value of this length.

So:

$Width = 3$ -- for the new prism

Side 2

$Height = 4$

$Length = 6$

$Width =8$

For this, we simply add up each length.

So, we have:

$Height = 4 + 6 + 8$

$Height = 18$ --- for the new prism

So, the new dimension is:

$Length = 4$

$Length = 6$

$Height = 18$

$Volume = 4 * 3 * 18$

$Volume = 216$

5 0

3 years ago

PLEASE HELP I CANT CONTINUE WITH MY WORK UNLESS THESE ARE COMPLETE AND CORRECT

Snezhnost [94]

Answer:

1) x=3, y=-3

Step-by-step explanation:

10x + 7y = 9 —— (1)

-4x -7y = 9 —— (2)

(1) + (2)

6x = 18

x = 18/6

x = 3

put x=3 in (1)

10(3) + 7y = 9

30 + 7y = 9

7y = 9 - 30

7y = -21

y = -21/7

y = -3

please give me brainlist if it is helpful for you

6 0

3 years ago

Daniels teacher gave him 39 math problems for the week on Monday,Daniel completed 12 problems on Tuesday,he completed the same a

Ipatiy [6.2K]

he has 15 problems left

6 0

3 years ago

Read 2 more answers

SOLVE 6-9. State of each triangle is a right triangle

11111nata11111 [884]

To find out if a triangle is a right triangle, you can use the Pythagorean theorem(which can only be used for right triangles):

a² + b² = c² (c is the hypotenuse or the longest side) And you can plug in the side lengths into this equation. If they are the same number on both sides, it is a right triangle, if they are different numbers it is not a right triangle.

6.) a² + b² = c²

(4√3)² + (11)² = (13)²

(16(3)) + 121 = 169

48 + 121 = 169

169 = 169 It IS a right triangle

7.) a² + b² = c²

(5)² + (2√14)² = (9)²

25 + (4(14)) = 81

25 + 56 = 81

81 = 81 It IS a right triangle

8.) a² + b² = c²

(6)² + (√49)² = (√82)²

36 + 49 = 82

85 = 82 It is NOT a right triangle

9.) a² + b² = c²

(13)² + (2√39)² = (16)²

169 + (4(39)) = 256

169 + 156 = 256

325 = 256 It is NOT a right triangle

7 0

3 years ago