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3 years ago

14

Write the equation of the line with a slope of 1/2

1 answer:

Arada [10]3 years ago

3 0

Answer:

y = (-1/2)x - 1

Step-by-step explanation:

y - 1 = (-1/2)(x - (-4))

y - 1 = (-1/2)(x + 4)

y - 1 = (-1/2)x -(1/2)(4)

y - 1 = (-1/2)x - 2

y = (-1/2)x -2 + 1

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If the room has a square area of 16 square meters and the rug is placed in the middle of the room, how much space would there be

alukav5142 [94]

Answer

the space would unknow between each side of the rug and the wall

Step-by-step explanation:

because we don't know how big the room is and what the shape of the room is we have no idea what the answer will be it could be a little less than the distance around the world or it could be no distance cause it is the same size as the room

(also the rug is in the middle of the the room)

5 0

3 years ago

6) Two boats set off from X at the same

lord [1]

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = $\frac{distance}{time}$

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

= 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

= 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

$a^{2}$ = $b^{2}$ + $c^{2}$ - 2bc Cos A

$x^{2}$ = $45^{2}$ + $35^{2}$ - 2(45 x 35) Cos $90^{o}$

= 2025 + 1225 - 3150 (0)

= 3250

x = $\sqrt{3250}$

= 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.

4 0

3 years ago

A guy wire to a tower makes a 71° angle with level ground. At a point 36 ft farther from the tower than the wire but on the same

lilavasa [31]

The length of the wire is 37.15 ft

<u>Explanation:</u>

The figure is attached for the reference.

tan (71) = $\frac{y}{x}$

tan (36) = $\frac{y}{36+x}$

So,

tan(36) (36 + x) = y

tan(71) = $\frac{tan (36) (36 + x )}{x}$

$2.9 = \frac{0.73 (36 + x)}{x} \\\\2.9 x = 26.28 + 0.73x\\\\2.17x = 26.28\\\\x = 12.11 ft$

Substituting x = 12.11 ft in equation 1:

$tan (71) = \frac{y}{12.11} \\\\2.9 X 12.11 = y\\\\y = 35.119 ft$

Length of the wire, z = $\sqrt{x^2 + y^2}$

So,

$z = \sqrt{(12.11)^2 + (35.119)^2} \\\\z = \sqrt{146.6521 + 1233.3442} \\\\z = 37.15 ft$

Therefore, the length of the wire is 37.15 ft

7 0

3 years ago

if the function g(x) goes through the point (2,5) then the function g(x+2) must go through what point?

cestrela7 [59]

Answer:

$(0,5)$

Step-by-step explanation:

Given:

The function $g(x)$ passes through the point $(2,5)$ .

For function $g(x)$ to transform to $g(x+2)$ , the graph has to translate 2 units to left.

Therefore, the point $(2,5)$ will have to move 2 units to left.

Moving 2 units left means the $x$ value of the point has to reduce by 2 units.

The $x$ value of the point $(2,5)$ is 2.

So, new $x$ value after translation will be $2-2=0$ .

Therefore, the graph of $g(x+2)$ must pass through $(0,5)$ .

7 0

3 years ago

A ferris wheel can accommodate 65 people in 25 minutes. How many people could ride the ferris wheel in 6 hours?

mestny [16]

Answer:

936

Get that 100.

6 0

3 years ago