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Hunter-Best [27]
3 years ago
7

Y= -8 y= -2x - 12 by substitution method

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0
The answer is x=2;

y=-8
y=-2x-12

-8=-2x-12
-8+12=2x-12+12
4=2x
4÷2=2x÷2
2=x
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The center of a circle is at (-5 12) and it has a radius of 16. what is the equation of the circle?
Naya [18.7K]

Answer:

(x+5)^2+(y-12)^2=256

Step-by-step explanation:

Comparing the given (x+5)^2+(y-12)^2=256

to                                   (x - h)^2 + (y - k)^2 = r^2,  

we see that h must be -5, k must be 12 and r must be 16.  This is the desired equation of the circle with center at (-5, 12) and radius 16.

4 0
3 years ago
Identify the surface area of the composite figure in terms of π.
Katena32 [7]

Answer:

  78π m²

Step-by-step explanation:

The lateral area of the cylinder is ...

  LA = 2πrh

  LA = 2π(3 m)(8 m) = 48π m²

The lateral area of one cone is ...

  LA = πrh . . . . where h is the slant height

  LA = π(3 m)(5 m) = 15π m²

Then the total surface area of the figure is the area of the two cones plus that of the cylinder:

  S = 2(cone area) + cylinder area

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7 0
3 years ago
31 days x 160 residents=
k0ka [10]

Answer:

4960?

Step-by-step explanation:

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5 0
3 years ago
The water reaches a max height when the horizontal distance from the firefighter to the building is approximately __m. Round to
elena-s [515]

The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m

<u>Explanation:</u>

Given:

h(x) = -0.026x² + 0.563x + 3

where,

h(x) is the height of the water

Initial speed, u = 14m/s

angle, θ = 30°

(a)

Horizontal distance = ?

h(x) = ax² + bx + c

the vertex is found at x = -b/2a

where,

x = distance to the maximum height

As compared to the equation given:

a = -0.026

b = 0.563

Thus,

x = \frac{-0.563}{2 X -0.026} \\\\x = \frac{0.563}{0.052}\\ \\x = 10.83m

Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m

3 0
3 years ago
Select the correct answer.
nordsb [41]

Answer:

A. The graph is a line that goes through the points (9,0) and (0,6).

Step-by-step explanation:

Given

4x + 6y = 36

Required

Select the true options

(a)\ (9,0)\ and\ (0,6)

This implies that"

(x_1,y_1)= (9,0)

(x_2,y_2)= (0,6)

So, we have: (x_1,y_1)= (9,0)

4x + 6y = 36

4 * 9 + 6 * 0 = 36 + 0 = 36

So, we have: (x_2,y_2)= (0,6)

4 * 0 + 6 * 6 = 0 + 36 = 36

<em>Hence (a) is true.</em>

3 0
2 years ago
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