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2 years ago

Please help me solve this!!!!!!

Mathematics

1 answer:

anastassius [24]2 years ago

8 0

Answer:

a) reflection across the x-axis, shift 8 units left

b) vertical stretch of 2, reflection across the y-axis, shift up 1

Step-by-step explanation:

The negative sign outside the square root represents a reflection across the x-axis, and the +8 inside represents a shift 8 to the left

The 2 outside the square root represents a vertical stretch of 2, and the negative sign inside the square root represents a reflection across the y-axis. The +1 at the end represents a shift up 1

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yawa3891 [41]

Answer:

Length of the canal on the map is 16.4 centimeters.

Step-by-step explanation:

If actual length of Panama Canal = 20 kilometers

and length of the canal on map = 4 centimeters

Then scale factor = $\frac{\text{Length of canal on map}}{\text{Actual length of canal}}$

= $\frac{4}{20}$

= $\frac{1}{5}$

If the actual length of Panama Canal = 82 kilometers

Then the length of canal on the map = Actual length × Scale factor

= $82\times \frac{1}{5}$

= 16.4 centimeters

Therefore, length of the canal on the map is 16.4 centimeters.

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If the mean weight of 4 backfield members on the football team is 221 lb and the mean weight of the 7 other players is 202 lb, w

MatroZZZ [7]

Let $x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9, x_{10}, x_{11}$ be the weight of i-th player.

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$\dfrac{x_1+x_2+x_3+x_4}{4}=221\ lb.$

2. If the mean weight of the 7 other players is 202 lb, then

$\dfrac{x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}}{7}=202\ lb.$

3. From the previous statements you have that

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Add these two equalities and then divide by 11:

$x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}=884+1414=2298\ lb,\\ \\\dfrac{x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}}{11}=\dfrac{2298}{11}=208\dfrac{10}{11}\ lb.$

Answer: the mean weight of the 11-person team is $208\dfrac{10}{11}\ lb.$

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2 years ago

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Drupady [299]

Answer:

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