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3 years ago

Simplify the expression: -13(6x + 15) - 3

Mathematics

2 answers:

Maru [420]3 years ago

8 0

Answer:

Step-by-step explanation:

zloy xaker [14]3 years ago

5 0

Answer:

-3(26x +63)

Step-by-step explanation:

-13(6x +15) -3

= -78x -195 -3

= -78x-198

-3(26x + 63)

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Explain the error in the solution below. What additional step needs to be completed?

Dmitriy789 [7]

Answer:

From step 4 to 9 is the required steps shown below.

Step-by-step explanation:

Given : Solution below,

$\log x -\log_5 3 = 2\log_5 3\\\log x = 3\log_5 3\\\log x = \log_5 33\\x = 27$

To find : The error in the solution and what additional step needs to be completed?

Solution : The mistake is the step 3 and additional step need to be added after it.

Step 1 - $\log x -\log_5 3 = 2\log_5 3$

Step 2 - $\log x = 3\log_5 3$

Step 3 - $\log x =\log_5 3^3$

Step 4 - $\log x=\log_5 27$

Applying change base rule of logarithmic, $\log_b a=\frac{\log a}{\log b}$

Step 5 - $\log x=\frac{\log 27}{\log 5}$

Step 6 - $\log x=\frac{1.431}{0.698}$

Step 7 - $\log x=2.050$

Step 8 - $x=10^{2.050}$

Step 9 - $x=112.20$

From step 4 to 9 is the required steps.

6 0

4 years ago

Read 2 more answers

49°<br> Solve for 42.<br> 2 = [?]<br> 44/62

Brrunno [24]

Answer:

∠2 = 41°

Step-by-step explanation:

∠2 + 49° + 90° = 180°

∠2 + 139° = 180°

∠2 = 180° - 139°

∠2 = 41°

5 0

3 years ago

Read 2 more answers

Calculate m∠ADC. Round to the nearest thousandth.

stira [4]

Answer: $54.508^{\circ}$

Step-by-step explanation:

Let the angle ADC = x degree

Since, By the given diagram, In triangle BDC,

$\frac{BC}{DC} = tan27^{\circ}$

⇒ $\frac{BC}{19.6} = tan27^{\circ}$

⇒ $BC = 19.6\times tan 27^{\circ}$

⇒ $BC = 9.98669881009$

Now, In triangle ADC,

$tan x =\frac{AC}{DC}$

⇒ $tan x =\frac{AB+BC}{DC}$

⇒ $tan x =\frac{17.5+9.98669881009}{19.6}$

⇒ $tan x =\frac{27.4866988101}{19.6}$

⇒ $tan x =1.40238259235$

⇒ $x = 54.508389368\text{ degree} \approx 54.508^{\circ}$

4 0

3 years ago

This my last one help

Lerok [7]

Answer:

A2 = 120

A3 = 60

A5 = 60

A6 = 120

Step-by-step explanation:

Angle 1 and 2 are supplementary, so A2 = 180 - 60, which is 120.

Angle 1 and 3 are vertical angles, which are always the same measure.

Angle 5 is alternate interior angles with 3, which means it is also 60.

Angle 6 is alternate interior angles with 4, which means it is 120.

3 0

3 years ago

Question 3 (1 point)

Virty [35]

Answer:

The answer to your question is (4, 6)

Step-by-step explanation:

Data

E ( 9 , 7 )

F ( - 1, 5)

Formula

$Xm = \frac{x1 + x2}{2}$

$Ym = \frac{y1 + y2}{2}$

Substitution and simplification

$Xm = \frac{9 -1}{2}$

$Xm = \frac{8}{2}$

Xm = 4

$Ym = \frac{7 + 5}{2}$

$Ym = \frac{12}{2}$

Ym = 6

Result

(4 , 6)

7 0

4 years ago