Answer:
(-5,14)
Step-by-step explanation:
Answer:
yards
Step-by-step explanation:
We have been given that 4 1/2 yards of cloth are needed to make a woman’s dress. 2 2/7 yards of cloth are needed to make a girl’s dress.
To find the yards of more cloth needed to make a woman’s dress than a girl’s dress, we will subtract cloth needed for girl's dress from the cloth needed for woman's dress.
![4\frac{1}{2}-2\frac{2}{7}](https://tex.z-dn.net/?f=4%5Cfrac%7B1%7D%7B2%7D-2%5Cfrac%7B2%7D%7B7%7D)
Convert mixed fraction into improper fraction:
![4\frac{1}{2}\Rightarrow \frac{4\times 2+1}{2}=\frac{8+1}{2}=\frac{9}{2}](https://tex.z-dn.net/?f=4%5Cfrac%7B1%7D%7B2%7D%5CRightarrow%20%5Cfrac%7B4%5Ctimes%202%2B1%7D%7B2%7D%3D%5Cfrac%7B8%2B1%7D%7B2%7D%3D%5Cfrac%7B9%7D%7B2%7D)
![2\frac{2}{7}\Rightarrow \frac{2\times 7+2}{7}=\frac{14+2}{7}=\frac{16}{7}](https://tex.z-dn.net/?f=2%5Cfrac%7B2%7D%7B7%7D%5CRightarrow%20%5Cfrac%7B2%5Ctimes%207%2B2%7D%7B7%7D%3D%5Cfrac%7B14%2B2%7D%7B7%7D%3D%5Cfrac%7B16%7D%7B7%7D)
![4\frac{1}{2}-2\frac{2}{7}=\frac{9}{2}-\frac{16}{7}](https://tex.z-dn.net/?f=4%5Cfrac%7B1%7D%7B2%7D-2%5Cfrac%7B2%7D%7B7%7D%3D%5Cfrac%7B9%7D%7B2%7D-%5Cfrac%7B16%7D%7B7%7D)
Make a common denominator:
![\frac{9*7}{2*7}-\frac{16*2}{7*2}](https://tex.z-dn.net/?f=%5Cfrac%7B9%2A7%7D%7B2%2A7%7D-%5Cfrac%7B16%2A2%7D%7B7%2A2%7D)
![\frac{63}{14}-\frac{32}{14}](https://tex.z-dn.net/?f=%5Cfrac%7B63%7D%7B14%7D-%5Cfrac%7B32%7D%7B14%7D)
![\frac{63-32}{14}](https://tex.z-dn.net/?f=%5Cfrac%7B63-32%7D%7B14%7D)
![\frac{31}{14}](https://tex.z-dn.net/?f=%5Cfrac%7B31%7D%7B14%7D)
![2\frac{3}{14}](https://tex.z-dn.net/?f=2%5Cfrac%7B3%7D%7B14%7D)
Therefore,
yards more cloth is needed to make a woman’s dress than a girl’s dress.
It is 77/10 because you have to multiply the whole number by the denominator and that gives you 70. Then you add the value of the numerator to 70, which is 77. so the answer is 77/10
The constant term on the expression (-20) means that Terrence scored 20 points less than Shelly after playing x games.
The formula for an absolute value equation is:
y = a l x - h l + k
(h , k) is the vertex
In the equation given, y = l 3 - x l + 1 can also be written as y = l x - 3 l + 1
The h is 3 and the k is 1 so the vertex is (3 , 1), this is one point.
The equation is positive so you know it will face up.
Another point can be found by replacing x with 0, y = l 0 - 3 l + 1
y = l - 3 l + 1
y = 3 + 1
y = 4
(0 , 4)