Dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.
<h3>What is dilation?</h3>
Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
Here, △ HIJ are:
IH = 3
IJ = 4
then using the scale factor = 1/2 we get
Therefore, we have:
I'H '= 1.5
I'J '= 2
Hence, dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.
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Answer:
x = -7/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
5x + 3 - 2x = 12 + 7x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 3x + 3 = 7x + 10
- [SPE] Subtract 3x on both sides: 3 = 4x + 10
- [SPE] Subtract 10 on both sides: -7 = 4x
- [DPE] Divide 4 on both sides: -7/4 = x
- Rewrite: x = -7/4
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
- Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
- Add: -23/4 + 7/2 = 12 - 49/4 - 2
- Add: -9/4 = 12 - 49/4 - 2
- Subtract: -9/4 = -1/4 - 2
- Subtract: -9/4 = -9/4
Here we see that -9/4 does indeed equal -9/4.
∴ x = -7/4 is the solution to the equation.
Answer:
46
Step-by-step explanation:
230 divided by 5
Option D, 63 cm
Explanation:
The scale of model is of local park is
This means that each dimension of the model is 21 times smaller than the actual park (to be developed in future)
Given -
Depth of the pond centi meter
Depth of the real pond will be 21 times of the depth of the model.
Thus , real pond's depth is equal to
cm
Hence, option D is correct
