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3 years ago

Which is the equation of the line that passes through the point (-5, -2)

Mathematics

1 answer:

Lilit [14]3 years ago

5 0

Answer:

F) y=3x+13

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=3(x-(-5))

y+2=3(x+5)

y=3x+15-2

y=3x+13

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I don’t understand how to do this

schepotkina [342]

Answer:

The solution is $x =0.$

Step-by-step explanation:

The equation

$\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2$

can be rewritten as

$2* sin(\dfrac{3\pi }{2} +2) =-2$

and can be further simplified to

$sin(\dfrac{3\pi }{2}+x ) =-1$ .

Now, taking the inverse sine of both sides we get:

$sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)$

$\bold{(2).}\: \dfrac{3\pi }{2} +2 =sin^{-1}(-1)$

The value of the right side on the interval $[0,2\pi)$ is

$sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o)$ ,

which makes the equation (2)

$\dfrac{3\pi }{2}+x =\dfrac{3\pi}{2}$

solving for $x$ gives

$\boxed{x = 0}$

which is our solution.

4 0

3 years ago

Angles and transversals thank you

faltersainse [42]

Answer:

#11-13: 118 , 97 , 62

#7-10: 92 , 125 , 56 , 130

Step-by-step explanation:

#11. Supplementary angles (A + B = 180)

(n + 7) + (3n - 47) = 180
n = 55
<ABC = 3(55) - 47 = 118 degrees

#12. Supplementary angles

83 + x = 180
x = 97
<ABC = 97 degrees

#13. Congruent angles (A = B)

(8x - 34) = (5x +2)
x = 12
<DEF = 5 (12) + 2 = 62 degrees

#7. Congruent angles

(3x +23) = 4x
x = 23
<ABC = 4(23) = 92 degrees

#8. Congruent angles

5x = (3x + 50)
x = 25
<MPQ = 3(25) + 50 = 125 degrees

#9. Congruent angles

(a + 28) = 2a
a = 28
<MNP = (28) + 28 = 56 degrees

#10. Congruent angles

5y = (2y + 78)
y = 26
<WXZ = 5(26) = 130 degrees

I hope this helps!

7 0

3 years ago

6x2y^3/3xy Use Laws of exponents. answer is 2xy^2 but I don't know how to get it. My initial answer was 4y^2

allsm [11]

Step-by-step explanation:

$\frac{6x^{2}y^{3}}{3xy}$

If it helps, write as a product of fractions, grouped by variable.

$\frac{6}{3} \frac{x^{2}}{x} \frac{y^{3}}{y}$

Now reduce using exponent rules.

$2xy^{2}$

4 0

3 years ago

F(x)=2x+3 find x=9 explain how you got the answer please help me I need the answer today

hram777 [196]

You would fill in 9 for x so your equation would be 2(9)+3 and you would then get 21. Therefore the answer is f(x)=21

6 0

3 years ago

5. A Major League Baseball stadium sells three types of tickets. Reserved tickets are sold for $20 each, field-level tickets are

Ad libitum [116K]

Answer: A) When all three ticket prices generate the same revenue.

Step-by-step explanation:

Reserved tickets cost $20 each.

Field-level tickets cost $50 each.

Seat tickets cost $100 each.

Then if x represents the number of reserved tickets sold, the total revenue for the reserved tickets will be:

R(x) = x*$20

If w represents the number of field-level tickets sold, the total revenue for field-level tickets will be:

F(w) = w*$50

If y represents the number of seat tickets sold, then the total revenue for the seat tickets will be:

S(y) = y*$100

Those equations will intersect when:

R(x) = F(w) = S(y)

This will mean that they will intersect when all three tickets have the same revenue, then the correct option is:

A) When all three ticket prices generate the same revenue.

3 0

3 years ago