9514 1404 393
Answer:
a) k = 2/5
b) y = 2/5x
c) y = 2 3/5
Step-by-step explanation:
<h3>a)</h3>
The proportional relation is described by the equation ...
y = kx . . . . . . k is the constant of proportionality
The value of k can be found by dividing the equation by x:
y/x = k = (2 1/4)/(5 5/8) = (9/4)/(45/8) = 18/45
k = 2/5
__
<h3>b)</h3>
As above, the equation is ...
y = kx
y = 2/5x
__
<h3>c)</h3>
Using 6.5 for x, we have ...
y = (2/5)(6.5) = 2.6 = 2 3/5
A straight line is 180°.
The sum of all the angles in a triangle is also 180°.
Let the missing angle be x°.
For the straight line:
x + 2x²+ 3x+ 6 = 180
x = 180 - (2x² + 3x + 6)
x = 180 - 2x² - 3x - 6
x = 174 - 2x² - 3x
For the missing angle in the triangle:
(174 - 2x² - 3x) + 8x + 3x² - 6x = 180
174 - 2x² - 3x + 8x + 3x² - 6x = 180
174 + x² - x = 180
x² - x + 174 - 180 = 0
x² - x - 6 = 0
(x + 2)(x - 3) = 0
x + 2 = 0 or x - 3 = 0
x = -2 or x = 3
The answer is x = -2 or x = 3
5y= -6x+2
5y/5 =-6x/5 +2/5
y = -1.2x +0.4
the slope is -1.2 and y intercept is 0.4
By synthetic division,
-5 | 1 -6 -42 79
. | -5 55 -65
- - - - - - - - - - - - - - - - -
. | 1 -11 13 14
When
, you're left with a remainder of 14.
Answer:
x
=
58
5
Step-by-step explanation:
10 times:
→
10
×
The sum of:
→
10
×
(
?
+
?
)
half a number:
→
10
×
(
x
2
+
?
)
and 6:
→
10
×
(
x
2
+
6
)
is 8 :
→
10
×
(
x
2
+
6
)
=
8
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
10
(
x
2
+
6
)
=
8
Multiply out the bracket
5
x
+
60
=
8
Subtract 60 from both sides
5
x
=
58
Divide both sides by 5
x
=
58
5
