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goblinko [34]
2 years ago
7

What is the value of x in the solution to this system of equations? 3x = 2y + 14 y = -6x + 18​

Mathematics
1 answer:
zmey [24]2 years ago
4 0
Use substitution
3x = 2(-6x + 18) + 14
3x = -12x + 36 + 14
3x = -12x + 50
15x = 50, x = 50/15 = 10/3
Solution: x = 10/3
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Evaluate the following:<br><br> Options are:<br> -20<br> 0<br> 20<br> The integral diverges
victus00 [196]

Answer:

The integral diverges

Step-by-step explanation:

∫₋₁¹ 10/x² dx

There is a discontinuity in the function at x = 0.  Splitting this into two integrals:

∫₋₁⁰ 10/x² dx + ∫₀¹ 10/x² dx

-10/x |₋₁⁰ + -10/x |₀¹

∞

3 0
3 years ago
Together teammates pedro and ricky got 2685 base hits last season. Pedro had 277 more than ricky. How many hits did each player
Ksju [112]
Let x be the number of base hits Ricky got. With this representation, the number of base hits Pedro got is x + 277. The sum of their number of hits is equal to 2685. The equation that best represent the scenario is,
                                   x + x + 277 = 2685
The value of x is 1204. Therefore, Ricky got 1204 and Pedro got 1481. 
3 0
3 years ago
On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)
aleksandr82 [10.1K]

Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = (\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})

OP.Cosθ = 1×Cosθ = \frac{1}{\sqrt{2}}

Cosθ = \frac{1}{\sqrt{2}}

θ = \frac{\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integers

Similarly, OP×Sinθ = 1×Sinθ = -\frac{1}{\sqrt{2}}

Sinθ = -\frac{1}{\sqrt{2} }

θ = \frac{5\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integer

Common value of θ will be, θ = \frac{7\pi }{4}

Option B will be the answer.

5 0
3 years ago
Please help!<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4.2%7D%7B7%5Cfrac%7B5%7D%7B7%7D%20%7D%20%3D%20%20%5Cfrac%7B3%5C
emmasim [6.3K]

Answer:

d = 40/7

Step-by-step explanation:

Solve for d:

0.544444 = 28/(9 d)

0.544444 = 49/90:

49/90 = 28/(9 d)

49/90 = 28/(9 d) is equivalent to 28/(9 d) = 49/90:

28/(9 d) = 49/90

Take the reciprocal of both sides:

(9 d)/28 = 90/49

Multiply both sides by 28/9:

Answer:  d = 40/7

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3 years ago
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