We know that
A number written out showing the sum of
each place value in the number is a number in expanded form.
<span> When writing numbers in </span>expanded form<span>, we must remember that it simply means to extend the </span>digits<span>, or numbers, out according to their place value
Examples</span>
![2,583=2,000+500+80+3 \\ 10,320=10,000+300+20 \\ 534.75=500+34+0.7+0.05](https://tex.z-dn.net/?f=2%2C583%3D2%2C000%2B500%2B80%2B3%20%5C%5C%2010%2C320%3D10%2C000%2B300%2B20%20%5C%5C%20534.75%3D500%2B34%2B0.7%2B0.05)
<span>
the answer isPlace Value</span>
Answer:
The answer is the option A
![\frac{1}{2}(\sqrt{[(y2)^{2}+(x2)^{2}]*[(y1)^{2}+(x1)^{2}]})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Csqrt%7B%5B%28y2%29%5E%7B2%7D%2B%28x2%29%5E%7B2%7D%5D%2A%5B%28y1%29%5E%7B2%7D%2B%28x1%29%5E%7B2%7D%5D%7D%29)
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
The area of the triangle is equal to
![A=\frac{1}{2}bh](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7Dbh)
where
b is the base
h is the height
In this problem
![b=AB, h=AC](https://tex.z-dn.net/?f=b%3DAB%2C%20h%3DAC)
the formula to calculate the distance between two points is equal to
Find the distance AB
![A(0,0), B(x2,y2)](https://tex.z-dn.net/?f=A%280%2C0%29%2C%20B%28x2%2Cy2%29)
substitute
Find the distance AC
![A(0,0), C(x1,y1)](https://tex.z-dn.net/?f=A%280%2C0%29%2C%20C%28x1%2Cy1%29)
substitute
Find the area of the triangle
we have
![b=\sqrt{(y2)^{2}+(x2)^{2}}, h=\sqrt{(y1)^{2}+(x1)^{2}}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7B%28y2%29%5E%7B2%7D%2B%28x2%29%5E%7B2%7D%7D%2C%20h%3D%5Csqrt%7B%28y1%29%5E%7B2%7D%2B%28x1%29%5E%7B2%7D%7D)
substitute
![A=\frac{1}{2}(\sqrt{[(y2)^{2}+(x2)^{2}]*[(y1)^{2}+(x1)^{2}]})](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28%5Csqrt%7B%5B%28y2%29%5E%7B2%7D%2B%28x2%29%5E%7B2%7D%5D%2A%5B%28y1%29%5E%7B2%7D%2B%28x1%29%5E%7B2%7D%5D%7D%29)
Answer:
X
Step-by-step explanation:
Let X is the number of hours Larry works a day
Given: Larry spends half of his workday teaching piano lessons.
=> Number of hours he teaches piano a day is:
X
As we know that, he has 6 students, so the fraction of his workday is spent with each student is:
X : 6
=
X
Hope it will find you well during the time of isolation.
Answer:
D. y=2.50x
Step-by-step explanation:
Since the equation asks for the total cost of a vase of flowers (y) that goes on the left side. Each flower costs 2.50 and the flower shop depends on the number of flowers ordered, which makes it a variable. Therefore C is wrong because it has 2.50 as a constant.
The ending equation will be y = 2.50x
Written in context this means that the total cost of a vase of flowers is equal to the cost of each flower (2.50) by how many flowers are ordered.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Answer:
The answer is -6.
Step-by-step explanation:
![2\left(-2^2\right)+2\\-2^2\\=-4\\=2\left(-4\right)+2\\2\left(-4\right)\\2\left(-4\right)=-2\cdot \:4=-8\\=-8\\=-8+2\\-8+2\\-8+2=-6\\=-6](https://tex.z-dn.net/?f=2%5Cleft%28-2%5E2%5Cright%29%2B2%5C%5C-2%5E2%5C%5C%3D-4%5C%5C%3D2%5Cleft%28-4%5Cright%29%2B2%5C%5C2%5Cleft%28-4%5Cright%29%5C%5C2%5Cleft%28-4%5Cright%29%3D-2%5Ccdot%20%5C%3A4%3D-8%5C%5C%3D-8%5C%5C%3D-8%2B2%5C%5C-8%2B2%5C%5C-8%2B2%3D-6%5C%5C%3D-6)