Answer:
The perimeter of triangle is:
Step-by-step explanation:
We need to find perimeter, in terms of x, of the triangle shown here.
The length of side 1:
The length of side 2:
The length of side 3:
The formula used to find perimeter of triangle is:
Putting values and finding perimeter:
So, The perimeter of triangle is:
Of course girl! Algebra is my thing :)
The correct answer is B, and here's why:
(a+3)^3 is the same as (a+3)(a+3)(a+3)
(a+3)(a+3)=a(a+3)+3(a+3) (distributive property)
a^2+3a+3a+9=a^2+6a+9
And from there we see that all the values match. Hope this helps
Answer:
10.) 6 2/5 11.) 21/100
Step-by-step explanation:
I hope that these are correct, they are simplified.
Stay awesome! and don't forget to be K I N D! <3
The amount Cindy should increase for each dimension of the scaled model will be 12 meters.
<h3>What is the scale factor?</h3>
The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that:-
- The scaled model of the container has dimensions of 2m by 4m by 6m. Cindy has decided to increase each dimension of the scaled model by the same amount in order to produce a container with a volume of 84 times the volume of the scale model.
The scale model will be solved as follows:-
Present volume = 2 x 4 x 6 = 48 cubic meters
Let the lengths be increased by x meters now the new volume will be:-
( 2 + x ) ( 4 + x ) ( 6 + x ) = 48 x 84
( x² + 6x + 8 ) ( 6 + x ) = 48 x 84
( x³ + 44x + 12x² - 3984 ) = 0
By solving the cubic equation we will get the value of x = 12 meters.
Therefore the amount Cindy should increase for each dimension of the scaled model will be 12 meters.
To know more about scale factors follow
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Answer:
(8, -22) All real numbers
Step-by-step explanation:
So since we already have the value of y lets Substitute;
3x + (-4x + 10) = 2
Distribute;
3x - 4x + 10 = 2
Collect like terms;
-1x + 10 = 2
Subtract 10 from both sides;
-1x = -8
Divide both sides by -1
x = 8
So now lets get the actual value for y by substituting x;
y = -4(8) + 10
y = -32 + 10
y = -22
(x, y) = (8, -22)