Answer:
Step-by-step explanation:
1 ) Y∝ 1 / X
Y = k / X
Y = 9 , X = -5
Putting the values in the relation above
9 = k / - 5
k = -45
Y = - 45 / X
Put Y = - 6
- 6 = - 45 / X
X = - 45 / -6
= 7.5
2 )
Luke and Nora can peel 12 carrots in 5 minutes
in 1 minute Luke and Nora can peel 12 / 5 carrot
in 1 minute Luke alone can peel 12/ 11 carrot .
In 1 minute Nora alone will peel (12 / 5 - 12/ 11 ) carrot
(12 / 5 - 12 / 11 )
= 2.4 - 1.1
= 1.3 carrot
In 1 minute Nora alone will peel 1.3 carrot
1.3 carrot in 1 minute
8 carrot in 8 / 1.3 minute
= 6.15 minutes.
In 1 minute Nora alone will peel 8 carrot in 6.15 minutes working alone.
For the equation to work, you have to have the same number on both sides of the equal sign
so to find ?, you can do:
13 - 2 = 12 - ? Simplify
11 = 12 - ? Subtract 12 on both sides
-1 = - ? Multiply -1 on both sides
1 = ?
Answer:
Kite
Step-by-step explanation:
To graph quadrilateral with points:
A(-1,-2)
B(5,1)
C(-3,1)
D(-1,4)
Thus, we graph the the given points and join the corners. The quadrilateral formed has the following features:
Measure of segment AB= Measure of segment BD = 6.708 units
Measure of segment AC= Measure of segment CD = 3.605 units
Thus, adjacent pair of sides of the quadrilateral are congruent.
Major diagonal BC cuts the minor diagonal AD at point E such that:
Measure of segment AE= Measure of segment ED = 3 units
m∠AEB = m∠DEB = 90°
Thus, major diagonal is a perpendicular bisector of the minor diagonal.
The above stated features fulfills the criterion of a kite.
Hence, the given quadrilateral ABCD is a kite.
Answer:
first box is 4/5 and the second box (=) is 7/15
is slope-intercept form, which is a way of writing an equation for a line.
In this equation, 
represents the slope and 
represents the y-intercept.
and 
are the coordinates of a point on the resulting line.
Here are some examples:
