<h3>
Answer: (2, 3)</h3>
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Explanation:
1/4 = 0.25 is the scale factor
Multiply this with each coordinate of the given point
0.25*8 = 2 is the new x coordinate
0.25*12 = 3 is the new y coordinate
So (8,12) moves to (2,3) after applying the dilation
The scale factor k makes 0 < k < 1 true, so the point is closer to the origin after applying the dilation.
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Side note: this trick of multiplying the scale factor by each coordinate only works if the dilation is centered at the origin. For any other center, you'll need to apply a translation first, dilate, then translate back again.
To compare measurements of different units, it is necessary to convert one to the form of the other. Let us try to convert 85g to ounces using the following relation: 1g = 0.035274 oz
85g * (0.035274oz / 1g) = 2.99829 oz.
Therefore, 3 oz is heavier than 85 g.
Answer: -4
Step-by-step explanation:
Solve 2x+7=-1
2x. =-8
x. =-4
Answer: Kate = £102
Sanjeev = £153
Step-by-step explanation:
From the question, we are informed that for every £2 that kat collects, sanjeev collects £3. This csn be represented in a fraction as:
Kat = 2/5
Sanjeev = 3/5
The amount that each collects will be:
Kat = 2/5 × £255
= 2 × £51
= £102
Sanjeev = 3/5 × £255
= 3 × £51
= £153
