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anzhelika [568]
3 years ago
5

What is 21(2-x)+12x=44

Mathematics
1 answer:
Sedaia [141]3 years ago
4 0
21(2-x)+12x=44    21x2=42  21x-x=21x
42-21x+12x=44    -21x + 12x= -9x
42-9x=44
-42       -42
9x=2                      9x/9=x  2/9=4.5
x=4.5


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For an angle θ with the point (−5, −12) on its terminating side, what is the value of cosine?
viva [34]

Answer:

option C. -\frac{5}{13}

Step-by-step explanation:

we have  that

The point (-5,-12) belong to the III quadrant

so

The value of the cosine is negative

Applying the Pythagoras Theorem

Find the value of the hypotenuse

h^{2}=5^{2}+12^{2}\\ h^{2} =25+144\\ h^{2}=169\\h=13\ units

The value of cosine of angle θ is the ratio between the side adjacent to angle θ and the hypotenuse

cos(\theta)=-\frac{5}{13}

8 0
3 years ago
-1 + 4x=3x +3<br> Solve for x ?
docker41 [41]

Answer:

x = 4

Step-by-step explanation:

1. Regroup terms.

4x  - 1 = 3x + 3

2. Add 1 to both sides.

4x = 3x + 3 + 1

3. Simplify 3x + 3 + 1 to 3x + 4.

4x = 3x + 4

4. Subtrect 3x from both sides.

4x - 3x = 4

5. Simplify 4x - 3x to x.

x = 4

Therefor, the answer is, x = 4.

5 0
3 years ago
Given the system of equations, what is the solution? 5x - 4y = 7 x = 5 - 3/2 y
xenn [34]
The answer is A


You can solve this by equation the two equations, by substitution method or elimination. Let's choose the substitution since Equation 2 has already X isolated
-take the X in equation 2 and substitute in the first equation
So, You should have 5 (5-3/2 y) -4y =7
Get y ( I'll assume you know how to simplify and find y by yourself )
y=36/23
-Now take y and substitute it in the first equation or the second equation (it doesn't really matter)
Substituting y in Equation 2:
x=5- 3/2 (36/23)
=> x= 61/23

So answer is A where (x,y) is (61/23, 36/23)
8 0
3 years ago
Read 2 more answers
The angle of elevation to the top of a 30 story skyscraper is measured to be 3 degrees from a point on the ground 2,000 feet fro
Leto [7]
You have an angle of elevation of 3 degrees and you're 2000 ft from base of 30 story building. 
<span>Draw a picture of this. Then tan(3) = ht of bldg/2000 </span>
<span>I get a height of 104.82 ft rounded to 2 dp. </span>


<span>5. Ok. use the Pythagorean Theorem here to find the hypotenuse of the right triangle </span>
<span>hypt = sqrt(50^2 + 9^2) </span>
<span>Now sine of the angle of elevation is 50/hypt. = 0.984 or 0.98 to 2 dp.</span>
4 0
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Help ASAP thanks :)))
barxatty [35]

a raise to m ∙ a raise to n = a raise to (m + n)

so 7 raise to (3+4)=7 raise to &

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