<em>Substitute x = 2 as we get</em>
<em>f(2) = -4(2)+4 = -8+4 = -4</em>
<em>Therefore, f(2) = -4</em>
-1 = z/3 - 7
Emily's Work:
-1 = z/3 - 7
-1(3)=z/3(3)-7
-3 = z - 7
-3 -7 = z - 7
z = -10
Right away without having to start at the beginning, I see that she has made a mistake at the 4th-5th line of work.
Instead of adding 7 to both sides, she subtracts it and still leaves it in and doesn't fully finish the equation, as it would really be z-7 = -10
In order to solve it, follow these steps:
Rewrite the initial equation as follows:
x/3 - 7 = -1
Multiply both sides by 3
x/3(3)-7(3)=-1(3)
x - 21 = -3
Add 21 to both sides
x = 18
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
Answer:
A: 8v+12b=360
V= van
B= Bus
B: Each van=9
Need to ride in vans:72
Step-by-step explanation:
12 buses 24 in each bus that equals 288. 360-288=72
and if you need to know how many are in each van you divide 72 by the number of vans that would be 9 per van.
The correct order of reasons that complete the proof about the rectangle and square is that D. definition of congruence, distance formula if two consecutive sides of a rectangle are congruent, then it's a square.
<h3>What is congruence?</h3>
It should be noted that congruence simply means an agreement or a correspondence between shapes.
In geoemtry, it should be noted that figures are said to be congruent if it is possible to superpose one of them on another.
It should be noted that the opposite sides of a rectangle are parallel while in a square, all the sides that are given are equal.
Therefore, the correct order of reasons that complete the proof about the rectangle and square is the definition of congruence, and that if two consecutive sides of a rectangle are congruent, then it's a square.
In conclusion, the correct option is D.
Learn more about congruence on:
brainly.com/question/2938476
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