(a)
The ratios of corresponding sides are equal
= 2 ← scale factor
hence w = 2 × 2.3 = 4.6 cm
(b)
The perimeters are linear and will also be proportional with a scale factor of 2
the areas are proportional with scale factor 2² = 4
That is the area of rectangle B is 4 times the area of rectangle A
In general
If 2 figures are similar then linear ratio of sides = k
Then the ratio of their areas is k²
and the ratio of their volumes is k³
The only equation that is written in descending order is
2x³+4x²-7x+5 , Option D is the correct answer.
<h3>What is a Polynomial ?</h3>
A polynomial is a mathematical expression consisting of variables , constants and mathematical operators.
The standard form of a polynomial is
The only equation that is in its standard form or in other words
The only equation that is written in descending order is
2x³+4x²-7x+5 , Option D is the correct answer.
To know more about Polynomial
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Answer:
The equation of the required line is: 2x + y = 8
Step-by-step explanation:
When a point on the line and the slope of the line are given, we use the slope - one - point form to determine the equation of the line.
Say, is the point passing through the line and the slope of the line is say, . Then the equation would be:
Here and slope, .
Therefore, the equation of the line becomes:
Rearranging we get:
which is the required equation of the line.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
y-x> 0 -----> inequality A
y> x
The solution of the inequality A is the shaded area above the dashed line y=x
x+1<0 ----> inequality B
x < -1
The solution of the inequality B is the shaded area at the left of the dashed line x=-1 (open circle)
therefore
The solution of the system of inequalities in the attached figure
Answer:
82.14
Step-by-step explanation:
multiply 13.9 times 7.4 and get 102.86 and then multiply 25 times 7.4 and get 185 the subtract 185 by 102.86 and get the answer