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3 years ago

What is the value of x?

Mathematics

1 answer:

german3 years ago

7 0

Answer:

Step-by-step Explanation

$x \degree = \frac{1}{2} (172 \degree - 52 \degree) \\ \\ x \degree = \frac{1}{2} \times 120 \degree \\ \\ x \degree = 60 \degree \\ \\ x = 60$

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The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th

Fantom [35]

Answer:

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C$

Step-by-step explanation:

To find:

∫ $6x^5(x^6-2)\,dx$

Solution:

Method of substitution:

Let $x^6-2=t$

Differentiate both sides with respect to $t$

$6x^5\,dx=dt$

[use $(x^n)'=nx^{n-1}$ ]

So,

∫ $6x^5(x^6-2)\,dx$ = ∫ $t\,dt$ = $\frac{t^2}{2}+C_1$ where $C_1$ is a variable.

(Use ∫ $t^n\,dt=\frac{t^{n+1} }{n+1}$ )

Put $t=x^6-2$

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1$

Use $(a-b)^2=a^2+b^2-2ab$

So,

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C$

where $C=2+C_1$

Without using substitution:

∫ $6x^5(x^6-2)\,dx$ = ∫ $6x^{11}-12x^5\,dx$ = $\frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C$

So, same answer is obtained in both the cases.

7 0

2 years ago

Can someone help me on this for 13 points

nignag [31]

Answer:

look at the picture i have sent

3 0

2 years ago

Read 2 more answers

Help on 22 and 23 please

hram777 [196]

Answer:

22.

R= -8, 15

S= -5, 9

T= -8,9

23.

J = 4, 4

K = 4, 3

L = 1, 1

M = 1, 4

Step-by-step explanation:

rotation of -90= y, -x

so R (-7, -5) = -5,7

S (-1, -2) = -2, 1

T (-1, -5) = -5, 1

now we translate 3 left (x-3) and 8 up (y+8)

R (-5, 7) = -8, 15

S (-2, 1) = -5, 9

T (-5, 1) = -8, 9

reflection of x-axis= x, -y

J (-4, 4) = -4, -4

K (-3, 4) = -3, -4

L (-1, 1) = -1, -1

M (-4, 1) = -4, -1

Then a 180° rotation is (-y, -x)

J (-4, -4) = 4, 4

K (-3, -4) = 4, 3

L (-1, -1) = 1, 1

M (-4, -1) = 1, 4

4 0

3 years ago

Nat sews a triangle on an apron. The three sides of the triangle measure 3 inches, 4 inches, and 5 inches. Which best represents

maria [59]

Answer:

Is a scalene right triangle

Step-by-step explanation:

Classify the triangle

By the interior angles

Applying the Pythagoras Theorem

$c^{2}=a^{2} +b^{2}$

substitute the values

$5^{2}=3^{2} +4^{2}$

$25=25$ ------> is true

therefore

Is a right triangle

By the length sides

The triangle has three unequal sides

therefore

Is a scalene triangle

4 0

3 years ago

A rectangle is 3 cm long and 2 cm wide

Nimfa-mama [501]

Answer:

Perimeter = 100mm

Area = 60mm

Step-by-step explanation:

P= (3x2) + (2x2) =10cm

10mm to 1cm

10cm x 10 = 100mm

A= b x h

= 3 x 2

=6cm

6x10=60mm

7 0

2 years ago