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1 year ago

Click the spot on the graph C' would-be located if the triangle was rotated 180 degrees clockwise

Mathematics

1 answer:

lara31 [8.8K]1 year ago

5 0

Assuming that the figure is rotated about the origin, a rotation of 180° is described by the rule:

$(x,y)\rightarrow(-x,-y)$

The coordinates of the point C are (4,7). Then, after a rotation of 180°:

$(4,7)\rightarrow(-4,-7)$

Therefore, the coordinates of C' would be:

$(-4,-7)$

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Two roller coasters are vying for the title of the steepest drop the first ride has a hill that drops 140 feet in a 40 foot run

muminat

Answer:

They have the same slope

Step-by-step explanation:

Given

Coaster 1:

$Drops = 140ft$

$Run = 40ft$

Coaster 2:

$Drops = 105ft$

$Run = 30ft$

First, we calculate the slope (m) of both coasters

$m = \frac{Rise}{Run}$

$m = \frac{Drops}{Run}$

For coaster 1:

$m = \frac{140ft}{40ft}$

$m = \frac{140}{40}$

$m = 3.5$

For coaster 1:

$m = \frac{105ft}{30ft}$

$m = \frac{105}{30}$

$m = 3.5$

$m = m=>3.5 = 3.5$

By comparison, they have the same slope

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3 years ago

Harold has been hired as a salesman. He is paid a flat rate of $375 each week and earns an additional $14.25 commission for each

Andru [333]

The answer is
$c. \: y = 14.25h + 375$

5 0

3 years ago

2x=−30-2 Find value of x

Mama L [17]

Answer:

look at the photo i have sent

5 0

2 years ago

Read 2 more answers

9e - 7 = 7e - 11 solve for e

prisoha [69]

Answer:

e = -2

Step-by-step explanation:

9e - 7 = 7e - 11

Subtract 7e from both side

2e - 7 = -11

Add 7 to both sides

2e = -4

Divide by 2 to isolate e

e = - 2

4 0

2 years ago

Read 2 more answers

Select the correct answer. Sean and Colleen are raking leaves in their yard. Working together, they can clear the yard of leaves

Lera25 [3.4K]

Answer:

40 minutes

Step-by-step explanation:

Let c represent the number of minutes it would take colleen to finish the job when he is working alone. Hence, it can be represented by the equation:

$\frac{1}{c}+\frac{1}{c+20} =\frac{1}{24} \\\\Finding\ the\ L.C.M\ of\ the\ fraction\ to\ get\ 24c(c+20)\ as\ the\ L.C.M.\\Multiply\ the\ whole\ equation\ by\ 24c(c+20):\\\\\frac{1}{c}(24c(c+20))+\frac{1}{c+20}(24c(c+20)) =\frac{1}{24}(24c(c+20)) \\\\24c+480+24c=c^2+20c\\\\48c+480=c^2+20c\\\\c^2+20c-48c-480=0\\\\c^2-28c-480=0$

Solving the quadratic equation to get c gives:

c = -12 and c = 40

Since the time cannot be negative, hence c = 40 minutes.

It would take colleen 40 minutes to clear the yard of leaves alone

6 0

3 years ago