On a piece of paper, graph y+4<1/2 x - 2. Then determine which answerchoice matches the graph you drew
.
A. Graph A
B. Graph B
C. Graph
D. Graph D

Answers

Answer 1

Answer:

Answer: the correct answer is D. It says less than or equal to and that means it’s shaded below the line and a full line. Alex said it was correct

Step-by-step explanation:

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If its £18.75 per square metre of clear plastic how much will it cost to cover 2x notice boards 1 metre high and 1 metre wide ?

Answers

just double 18.75 because the total area needed to cover is 2 square meters

The lateral faces of a regular triangular prism are _____.isosceles triangles
equilateral triangles
parallelograms
rectangles

Answers

The lateral face of a prism is it's side, so it would be rectangle, D.

"lateral, of, at, toward, or from the side or sides."

The lateral side of a triangular prism would be a rectangle, like in this picture.
The picture shows two quadrilateral triangles as the faces of the prism, and three rectangles as the lateral sides.

Answer: parallelograms.

Step-by-step explanation:

The lesson states that the lateral faces of a prism are parallelograms.

30 points and BRAINLIEST! Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1)

Answers

Answer:

(x − 4)² + (y − 3)² = 25

Step-by-step explanation:

The equation of a circle is:

(x − h)² + (y − k)² = r²

Given three points on the circle, we can write three equations:

(1 − h)² + (7 − k)² = r²

(8 − h)² + (6 − k)² = r²

(7 − h)² + (-1 − k)² = r²

Expanding:

1 − 2h + h² + 49 − 14k + k² = r²

64 − 16h + h² + 36 − 12k + k² = r²

49 − 14h + h² + 1 + 2k + k² = r²

Simplifying:

50 − 2h + h² − 14k + k² = r²

100 − 16h + h² − 12k + k² = r²

50 − 14h + h² + 2k + k² = r²

Subtracting the first equation from the second and third equations:

50 − 14h + 2k = 0

-12h + 16k = 0

Solving the system of equations, first reduce:

25 − 7h + k = 0

-3h + 4k = 0

Solve with substitution or elimination. Using substitution, solve for k in the first equation and substitute into the second.

k = 7h − 25

-3h + 4(7h − 25) = 0

-3h + 28h − 100 = 0

25h = 100

h = 4

k = 7h −25

k = 7(4) − 25

k = 3

Now plug these into any of the original three equations to find r.

(1 − h)² + (7 − k)² = r²

(1 − 4)² + (7 − 3)² = r²

9 + 16 = r²

25 = r²

The equation of the circle is:

(x − 4)² + (y − 3)² = 25

Graph: desmos.com/calculator/ctoljeqhnp

Lucy has a hemisphere shaped goldfish pond in her backyard. The pond has a circumference of 11.9 feet . The pond has a population density of 3.6 cubic feet of water for each goldfish. How many goldfish are in Lucy's pond ?

Answers

40.38 my answer is 40.38 or 40 goldfish

Around 40.38 - 40 goldfish is your answer.

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