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3 years ago

Need help with number 5

Mathematics

1 answer:

tangare [24]3 years ago

8 0

Answer:

(3) y = 4x

Step-by-step explanation:

In order for the equation not to change, the point (0, 0) must be on the original line and so on the line after dilation. The only equation with (0, 0) as a point on the line is y=4x.

Dilation about the origin moves all points away from the origin some multiple of their distance from the origin. If a point is on the origin, it doesn't move. We call that point the "invariant" point of the transformation. For the equation of the line not to change, the invariant point must be on the line to start with.

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If the measure of an acute angle is represented by x, then the measure of its complement

Luba_88 [7]

Answer:

always true

Step-by-step explanation:

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2 years ago

A 5-meter ladder is leaning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m

Flura [38]

<h2>The top of the ladder is descending at 0.3 m/s.</h2>

Step-by-step explanation:

By Pythagoras theorem we know that

Hypotenuse² = Base² + Perpendicular²

h² = b² + p²

We have for ladder

h = 5 m

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p = 4 m

$\frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0$

Differentiating h² = b² + p² with respect to time

$2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s$

The top of the ladder is descending at 0.3 m/s.

3 0

3 years ago

1. A 25% discount on a skateboard is $24.75. What is the cost before the discount?

klasskru [66]

Answer:

1. $33

2. 25%

3. 20%

4. Masako

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Step-by-step explanation:

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3 years ago

A recipe to make 12 cupcakes includes: ¼ cup of butter, 1¼ cups of flour, and 2/3 cup of sugar. What amount of each ingredient i

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vladimir1956 [14]

Answer:

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Step-by-step explanation:

17 + .11x = 22 + .07x

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3 years ago