Here is a real answer
I think -5 my apologies if I’m wrong :)
List out all factors of each number, and find the first common one.<span>44</span> : <span>1,2,4</span>
16 : <span>1,2,4,8,16</span>
Therefore, the GCF is <span>44</span>.
List all prime factors of each denominator, and find the intersection of these primes.<span>44</span> : <span>2,2</span>
<span>1616</span> : <span>2,2,2,2</span>
Therefore, the GCF is <span>2×2=4
</span>Divide the numerator (4) by the GCF
<span>4÷4=1
</span>Divide the denominator (16) by the GCF
<span>16÷4=4
</span> Rewrite the fraction in the simplified form
<span><span>14 , and the decimal form will be 0.4.</span></span>
Answer:
w = 3 cm
Step-by-step explanation:
The area (A) of the triangle is calculated as
A =
bh ( b is the base and h the height )
Here b = 5 and h = 6 , then
A =
× 5 × 6 =
× 30 = 15 cm²
Now the area of the rectangle is 15 cm²
area = length × width , that is
5w = 15 ( divide both sides by 5 )
w = 3 cm
The slope intercept form:
![y = mx + c](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20c)
Where c is the y intercept and m is the slope.
We can then put (5,-4) and the slope into the equation:
-4 = (3/4)(5)+c
-c = 15/4+4
c = -31/4
Therefore the answer is c = -31/4.
Hope it helps!
Answer:
1. Reflection across the x-axis
2. Translation 6 units to the left and 1 unit up
Step-by-step explanation:
The quadrilateral ABCD has its vertices at points A(3,5), B(6,5), C(4,1) and D(1,1).
1. Reflect quadrilateral ABCD across the x-axis. This reflection has the rule:
![(x,y)\rightarrow (x,-y),](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28x%2C-y%29%2C)
then
![A(3,5)\rightarrow A'(3,-5)\\ \\B(6,5)\rightarrow B'(63,-5)\\ \\C(4,1)\rightarrow C'(4,-1)\\ \\D(1,1)\rightarrow D'(1,-1)](https://tex.z-dn.net/?f=A%283%2C5%29%5Crightarrow%20A%27%283%2C-5%29%5C%5C%20%5C%5CB%286%2C5%29%5Crightarrow%20B%27%2863%2C-5%29%5C%5C%20%5C%5CC%284%2C1%29%5Crightarrow%20C%27%284%2C-1%29%5C%5C%20%5C%5CD%281%2C1%29%5Crightarrow%20D%27%281%2C-1%29)
2. Translate quadrilateral ABCD 6 units to the left and 1 unit up. This translation has the rule:
![(x,y)\rightarrow (x-6,y+1),](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28x-6%2Cy%2B1%29%2C)
then
![A'(3,-5)\rightarrow A''(-3,-4)\\ \\B'(6,-5)\rightarrow B''(0,-4)\\ \\C'(4,-1)\rightarrow C''(-2,0)\\ \\D'(1,-1)\rightarrow D''(-5,0)](https://tex.z-dn.net/?f=A%27%283%2C-5%29%5Crightarrow%20A%27%27%28-3%2C-4%29%5C%5C%20%5C%5CB%27%286%2C-5%29%5Crightarrow%20B%27%27%280%2C-4%29%5C%5C%20%5C%5CC%27%284%2C-1%29%5Crightarrow%20C%27%27%28-2%2C0%29%5C%5C%20%5C%5CD%27%281%2C-1%29%5Crightarrow%20D%27%27%28-5%2C0%29)