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3 years ago

Can anyone please help me with this equation?

Mathematics

1 answer:

AysviL [449]3 years ago

3 0

21 = 2x + 5

---> 21 - 5 = 2x

----> 16 = 2x

-----> x = 8

The internship pays $8 per hour.

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Plz solve this problem of trigonometry<br>i am an aakashian

makkiz [27]

Step-by-step explanation:

$\bf L.H.S = \tt \dfrac{sec\: \theta + tan \: \theta - 1}{tan \: \theta - sec \: \theta + 1} \\ \\$

$: \implies \tt \dfrac{\frac{1}{cos \: \theta} + \frac{sin \: \theta}{cos \: \theta} - 1}{ \frac{sin \: \theta}{cos \: \theta} - \frac{1}{cos \: \theta} + 1 } \: = \dfrac{1 + sin \: \theta - cos \: \theta}{sin \: \theta + cos \: \theta} \\ \\$

$: \implies \tt\dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta + (cos \: \theta - 1)} \: \times \: \dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta - (cos \: \theta - 1)} \\ \\$

$: \implies \tt\dfrac{ sin^{2} \: \theta + cos^{2} \: \theta + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: (cos \: \theta - 1)}{sin^{2} \: \theta - (cos \: \theta - 1)^{2} } \\ \\$

$: \implies \tt\dfrac{1 + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - 1 + 2 \: cos \: \theta } \\ \\$

$: \implies \tt\dfrac{2 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - sin^{2} \: \theta - cos^{2} \: \theta + 2 \: cos \: \theta } \\ \\$

$: \implies \tt\dfrac{2 (1 - \: cos \: \theta )- 2 \: sin \: \theta (1 - \: cos \: \theta)}{ 2 \: cos \: \theta - 2 \: cos^{2} \: \theta} \\ \\$

$: \implies \tt\dfrac{(2 + 2 \: sin \: \theta) \: \cancel{(1 - cos\: \theta)}}{2 \: cos \: \theta \: \cancel{(1 - cos \: \theta)}} \: = \: \dfrac{1 + sin \: \theta}{cos \: \theta} \\ \\$

$: \implies\tt\dfrac{1 + sin \: \theta}{cos \: \theta} \: \times \: \dfrac{1 - sin \: \theta}{1 - sin \: \theta} \\ \\$

$: \implies\tt\dfrac{1 + sin^{2} \: \theta}{cos \: (1 - sin \: \theta)} \\ \\$

$: \implies\tt\dfrac{cos^{2} \: \theta}{cos \: \theta (1 - sin \: \theta)} \\ \\$

$: \implies\tt\dfrac{cos \: \theta}{1 - sin \: \theta} \: = \: \bf{ R.H.S}\\ \\$

$\huge\bigstar \:\underline{\red{\sf Hence, Proved}} \: \bigstar \\$

6 0

4 years ago

X-(9x-10)+11=12x+3(-2x+ 1/3)

morpeh [17]

X - (9x - 10) + 11 = 12x + 3(-2x + $\frac{1}{3}$ ) equals x = $\frac{10}{7}$ .

First, simplify brackets. / Your problem should look like: x - 9x + 10 + 11 = 12x + 3(-2x + $\frac{1}{3}$ ).
Second, simplify x - 9x + 10 + 11 to -8x + 10 + 11. / Your problem should look like: -8x + 10 + 11 = 12x + 3(-2x + $\frac{1}{3}$ ).
Third, simplify -8x + 10 + 11 to -8x + 21. / Your problem should look like: -8x + 21 = 12x + 3(-2x + $\frac{1}{3}$ ).
Fourth, expand. / Your problem should look like: -8x + 21 = 12x - 6x + 1.
Fifth, simplify 12x - 6x + 1 to 6x + 1./ Your problem should look like: -8x + 21 = 6x + 1.
Sixth, add 8x to both sides. / Your problem should look like: 21 = 6x + 1 + 8x.
Seventh, simplify 6x + 1 + 8x to 14x + 1. / Your problem should look like: 21 = 14x + 1.
Eighth, subtract 1 from both sides. / Your problem should look like: 21 - 1 = 14x.
Ninth, simplify 21 - 1 to 20. / Your problem should look like: 20 = 14x.
Tenth, divide both sides by 14. / Your problem should look like: $\frac{20}{14}$ = x.
Eleventh, simplify $\frac{20}{14}$ to $\frac{ 10}{7}$ . / Your problem should look like: $\frac{10}{7}$ = x.
Twelfth, switch sides. / Your problem should look like: x = $\frac{10}{7}$ which is your answer.

8 0

3 years ago

7 of 1010 PointsThat is the multiplicity of each of the roots of the graph of f(x) = 2x + 12r³ +16r² - 12x - 18?-3, multiplicity

Paul [167]

Solution:

Given the function;

$f(x)=2x^4+12x^3+16x^2-12x-18$

The graph of the function is;

Thus, the multiplicity of each of the roots of the graph is;

$\begin{gathered} -3,multiplicity\text{ }2; \\ \\ -1,multiplicity\text{ }1; \\ \\ 1,multiplicity\text{ }1 \end{gathered}$

CORRECT OPTION: D

6 0

1 year ago

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!

ehidna [41]

Answer:

yes, you can form a triangle with the side lengths given

4 0

3 years ago

Read 2 more answers

The length of a picture frame is 2 inches more than the width. The perimeter of the frame is 36 inches. What is the length of th

ollegr [7]

Answer in one complete sentence:
____________________________________________
   "The length of the frame is ten (10) inches."
_____________________________________________
Explanation:
_____________________________________________
Perimeter = P = 36 in.
Length = L = 2 +2
Width = w .
_____________________________________________
These are the two equations for the system of equations:

P = 2L + 2w = 36 in.
L = 2 + w
_____________________________________________
Solve for "L" (length) of the frame.
______________________________________
In the equation:
______________________________________
P = 2L + 2w = 36.

{Note: standard knowledge; and/or look up:
______________________________________
Formula for the Perimeter of a rectangle: P = 2L + 2w} ;
_______________________________________
We are given: P = 36 in.

Rewrite, substituting "2+w" for "L" ;

P = 2(2+w) + 2w = 36 ;
___________________________
Note: 2(2+w) = 2*2 + 2w = 4 + 2w .

Now, Rewrite the equation, substituting "(4 + 2w) for "2(2+w)" ;
__________________________________________________
P = (4 + 2w) + 2w = 36 ;

P = 4 + 2w + 2w = 36 ;

Combine the "like terms" ;
____________________________________________
+ 2w + 2w = 4w ;
____________________________________________
   P = 4 + 4w = 36 ;
____________________________________________
↔   4 + 4w = 36 ;
____________________________________________
Subtract "4" from EACH SIDE of the equation:
____________________________________________
→ 4 + 4w − 4 = 36 − 4 ;
____________________________________________
to get:
____________________________________________
            →  4w  = 32 ;
____________________________________________
            → Divide EACH SIDE of the equation by "4" ; to isolate "w" on one side of the equation; and to solve for "w" ;
____________________________________________
            → 4w / 4 = 32 / 4 ;

               → w = 8 .
____________________________________________
Now, to solve for: "L" (the length).
____________________________________________
    Length: L = 2 + w ;

                 → L = 2 + 8 = 10 inches.
____________________________________________
Answer in one complete sentence:
____________________________________________
   "The length of the frame is ten (10) inches."
____________________________________________

7 0

3 years ago