Answer:
y=-5/3x+20
Step-by-step explanation:
Let the equation of the required line be represented as ![\[y=mx+c\]](https://tex.z-dn.net/?f=%5C%5By%3Dmx%2Bc%5C%5D)
This line is perpendicular to the line ![\[y=\frac{3}{5}x+10\]](https://tex.z-dn.net/?f=%5C%5By%3D%5Cfrac%7B3%7D%7B5%7Dx%2B10%5C%5D)
![\[=>m*\frac{3}{5}=-1\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Em%2A%5Cfrac%7B3%7D%7B5%7D%3D-1%5C%5D)
![\[=>m=\frac{-5}{3}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Em%3D%5Cfrac%7B-5%7D%7B3%7D%5C%5D)
So the equation of the required line becomes ![\[y=\frac{-5}{3}x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D%5Cfrac%7B-5%7D%7B3%7Dx%2Bc%5C%5D)
This line passes through the point (15.-5)
![\[-5=\frac{-5}{3}*15+c\]](https://tex.z-dn.net/?f=%5C%5B-5%3D%5Cfrac%7B-5%7D%7B3%7D%2A15%2Bc%5C%5D)
![\[=>c=20\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ec%3D20%5C%5D)
So the equation of the required line is ![\[y=\frac{-5}{3}x+20\]](https://tex.z-dn.net/?f=%5C%5By%3D%5Cfrac%7B-5%7D%7B3%7Dx%2B20%5C%5D)
Among the given options, option 4 is the correct one.
Answer: 289 is a semi-prime number that is created by doing 17 times 17. 17 is a prime number though. hope this helps.
Step-by-step explanation:
289
17 17
Answer:
14.62
Step-by-step explanation:
Answer:
=
(
x
2
+
6
)
(
x
+
3
)
Step-by-step explanation:
[Grouping the first 2 terms together and the 2md 2 terms together.]
x
3
+
3
x
2
+
6
x
+
18
=
(
x
3
+
3
x
2
)
+
(
6
x
+
18
)
[Common factor]
=
x
2
(
x
+
3
)
+
6
(
x
+
3
)
{Taking the common bracket]
=
(
x
2
+
6
)
(
x
+
3
)
~Hope this helps! :)
Answer:
$6.21
Step-by-step explanation:
1 apple = $0.60
3 apples = $1.80 (Multiply 0.60 by 3)
2 bananas = $1.00 (Multiply 0.50 by 2)
1 quart of yoghurt = $4.50
Add the prices up first:
1.80 + 1.00 + 4.50 = $7.30
7.30 off 15% = $6.21
