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KengaRu [80]
3 years ago
7

Solve for b. -b - 19 = -3b – 9

Mathematics
1 answer:
8090 [49]3 years ago
3 0

Answer:

b=5

Step-by-step explanation:

-b - 19 = -3b – 9

Add 3b to each side

-b+3b - 19 = -3b+3b – 9

2b -19 = -9

Add 19 to each side

2b-19+19 = -9+19

2b = 10

Divide by 2

2b/2 =10/2

b=5

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A.y=-x+0.5<br> B.y=-x-0.5<br> C.y=x+0.5<br> D.y=x-0.5
omeli [17]

Answer:

D

Step-by-step explanation:

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3 years ago
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Sat question: a circle in the xy-plane has a diameter with endpoints (-1,-3) and (7,3). if the point (0,b) lies on the circle an
labwork [276]

1) use the distance formula to find that the radius (r) of the circle = 5

2) use the midpoint formula to find that the center of the circle (h,k) = (3, 0)

3) Now use the formula of a circle and input the (h,k) and r to create:

(x - 3)² + (y - 0)² = 5² → (x - 3)² + y² = 25

4) input the "x" value given in the question (x = 0) and solve for "y":

(0 - 3)² + y² = 25 → 9 + y² = 25 → y² = 16 → y = +/- 4

Since the question states that "b" must be positive, you can disregard the -4.

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3 years ago
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Y+15 &lt;3 for inequality
Hitman42 [59]
Hello there!

y + 15 < 3

Start by subtracting 15 on both sides

y + 15 - 15 < 3 - 15

y < -12

As always, it is my pleasure to help you guys on here. Let me know if you have any questions.
7 0
3 years ago
A rectangular swimming pool is twice as long as it is wide. A small concrete sidewalk surrounds the pool and is a constant 2 fee
Naddika [18.5K]

Answer:

The dimensions of the pool are:

Width: 8.944 feet

Length: 17.888 feet

Step-by-step explanation:

From Geometry, the area of a rectangle (A), measured in square feet, is determined by the following equations:

A = w\cdot l (1)

Where:

w - Width, measured in feet.

l - Length, measured in feet.

If we know that w = x, l = 2\cdot x and A = 160\,ft^{2}, then we get the following second order polynomial:

2\cdot x^{2}-160 = 0 (1)

And we solve the expression for x:

2\cdot x^{2} = 160

x^{2} = 80

x = \sqrt{80}\,ft

x \approx 8.944\,ft

Then, the dimensions of the pool are, respectively:

w \approx 8.944\,ft and l \approx 17.888\,ft

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3 years ago
Help me please I’m very confused
nadezda [96]

Answer:

Arc \ length = 2\pi r\frac{\theta}{360} =2\pi 5\frac{30}{360} =10\pi \frac{1}{12} =\frac{5}{6} \pi =2.62units

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