Step-by-step explanation:
We have (x + 4)(x + 2)cm² = 3cm².
=> x² + 6x + 8 = 3
=> x² + 6x + 5 = 0
=> (x + 5)(x + 1) = 0
=> x = -5 or x = -1
x = -5 is rejected as both side lengths would have negative values.
Therefore x = -1;
- (x + 4)cm = (-1 + 4)cm = 3cm
- (x + 2)cm = (-1 + 2)cm = 1cm
Hence the dimensions are 3cm by 1cm.
Answer:
yess that is correct
Step-by-step explanation:
18<27
The picture in the attached figure
we know that
a) find the ratio of the perimeters
the ratio of the perimeters is equal to the scale factor
scale factor=26/6-----> 13/3
the answer Part a) isthe ratio of the perimeters is 13/3
b) find the ratio of the areas of the larger figure to the smaller figure
we know that
area larger figure=[scale factor]²*area smaller figure
scale factor²=area larger figure/area smaller figure
the ratio of the areas of the larger figure to the smaller figure is equal to scale factor squared
scale factor²=(13/3)²----> 169/9
the answer Part b) is 169/9
the complete answer is
13/3 and 169/9
Answer:
All solutions
Step-by-step explanation:
When solving by substitution, we will first set one equation equal to a variable, and then plug that value into the second equation as the variable. Here is what I mean;
x - 2y = 1
3x - 6y = 3
-
x = 1 + 2y
3x - 6y = 3
-
3(1 + 2y) - 6y = 3
3 + 6y - 6y = 3
3 = 3
[] Oh no! This doesn't work well. Let's graph it and see what is happening;
-> See attached
-> I have made the lines very thick so you can see the overlap, they are the same size in reality
The answer is all solutions because the graphs are exactly the same.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather