Write 543 000 in standard form.
2 answers:
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Question:
The relationship between t and r is expressed by the equation 2t+3r+6 = 0. If r increases by 4, which of the following statements about t must be true?
Answer:
The value of t is reduced by 6 when the value of r is increased by 4
Step-by-step explanation:
Given
Required
What happens when r is increased by 4
<em>-------- Equation 1</em>
Subtract 2t from both sides
--- <em>Equation 2</em>
When r is increased by 4, equation 1 becomes
Note that the increment of r also affects the value of t; hence, the new value of t is represented by T
Open bracket
Rearrange
<em>Substitutr -2t for 3r + 6 [From equation 2]</em>
Make T the subject of formula
Divide both sides by 2
This means that the value of t is reduced by 6 when the value of r is increased by 4
Answer:
A) Same shape
C) Similar
Step-by-step explanation:
The figure is missing: find it in attachment.
Here we want to compare the two triangles: Let's analyze each statement.
A) Same shape --> TRUE
In fact, we see that the 3 angles of the two triangles are the same: therefore, the two triangles have same shape.
B) Congruent --> FALSE
Two triangles are said to be congruent if they have same sizes and same angles: here we see that they do not have the same sizes, so they are not congruent.
C) Similar --> TRUE
Two triangles are said to be similar if the proportions between their sides are the same.
For the triangles in the figure, we see that this is valid. In fact, the ratio of the 3 sides for the triangle on the left is 10:8:6, while the ratio for the triangle on the right is 20:16:12, which can be reduced to 10:8:6: therefore, the same ratio.
D) Same size --> FALSE
As we see, the two triangles do not have the same size.
