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nexus9112 [7]
3 years ago
13

The function shown models the depth d (in inches) of snow on the ground during the first 9 hours of a snowstorm, where t is the

time in hours) after
the snowstorm begins
Mathematics
1 answer:
kondaur [170]3 years ago
4 0

<em>Complete Question:</em>

<em>The function shown models the depth d (in inches) of snow on the ground during the first 9 hours of a snowstorm, where t is the time (in hours) after the snowstorm begins. </em>

<em> The -intercept means that there were[  ]inch(es) of snow on the ground at the start of the storm and the slope means that[  ]inch(es) of snow falls every hour during the storm. </em>

<em>Function: d(t)= 1/2t+6</em>

Answer:

b = 6

m = \frac{1}{2}

Step-by-step explanation:

Given

d(t)= \frac{1}{2}t+6

Required

Determine the y intercept and the slope

y-intercept:

d(t)= \frac{1}{2}t+6

A function has a format of:

d(t) = mt + b

Where b represent the y intercept:

By comparison of d(t) = mt + b and d(t)= \frac{1}{2}t+6

b = 6

Slope:

A function has a format of:

d(t) = mt + b

Where m represent the slope

By comparison of d(t) = mt + b and d(t)= \frac{1}{2}t+6

m = \frac{1}{2}

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Graph triangle RST with vertices R(3, 7), S(-5, -2), and T(3, -5) and its image after a reflection over x = -3.​
kirill115 [55]

Given:

The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).

To find:

The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.

Solution:

If a figure reflected across the line x=a, then

(x,y)\to (-(x-a)+a,y)

(x,y)\to (-x+a+a,y)

(x,y)\to (2a-x,y)

The triangle after a reflection over x = -3. So, the rule of reflection is

(x,y)\to (2(-3)-x,y)

(x,y)\to (-6-x,y)

The vertices of triangle after reflection are

R(3,7)\to R'(-6-3,7)

R(3,7)\to R'(-9,7)

Similarly,

S(-5,-2)\to S'(-6-(-5),-2)

S(-5,-2)\to S'(-6+5,-2)

S(-5,-2)\to S'(-1,-2)

And,

T(3,-5)\to T'(-6-3,-5)

T(3,-5)\to T'(-9,-5)

Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).

3 0
3 years ago
What is the result if you divide -12x^8y^8 by 3x^4y^2
Alexxandr [17]

Answer:

Step-by-step explanation:

\dfrac{a^{m}}{a^{n}}=a^{m-n} \ ; m > n

\dfrac{-12x^{8}y^{8}}{3x^{4}y^{2}}=-4x^{8-4}y^{8-2}\\\\\\ = -4x^{4}y^{6}

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2 years ago
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If <br>85 * 64 = 32<br>39 * 52 = 65 <br>47 * 21 = 00 <br>17 * 93 = 13<br>Then:<br>13 * 19 = ?!​
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Answer: 247

Use long multiplication to evaluate.

After that divide your answer by either 13 or 19 and see if you get one of those answers.

247÷19=13

247÷13=19

5 0
2 years ago
Factor the expression.
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Answer:

C

Step-by-step explanation:

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