Answer:
p=405+60logx
from 2024 to 2010
=14years
p=405+60log14
p=405+60×1.15
p=405+69
p=474
I would appreciate if my answer is chosen as a brainliest answer
Answer:1/2 y
Step-by-step explanation:
We can solve this using ration reasoning:
x
2
x
1
=
y
2
y
1
Explanation:
If
x
varies directly with
y
(written
x
∝
y
), then doubling
y
means doubling
x
, so the rations of final values and initial values will be the same:
x
2
x
1
=
y
2
y
1
In this case,
x
2
9
=
24
18
x
2
=
9
⋅
24
18
=
12
Or, intuitively, if
x
∝
y
and
x
=
9
when
y
=
18
, we can conclude that
x
=
1
2
y
and
1
2
of 24 is 12.
Answer:
y = 2/3x + 4
Step-by-step explanation:
First, we look at where the equation intersects the y axis. It intersects at y = 4, which means that in the end of the equation there must be a "+4", so we can rule out the first two.
Second, we look at the slope of the line. Slope is defined as rise over run. As you can see in the graph, the line moves up 2 units while moving right 3 units. That means the coefficient of x (which is the slope) will be 2/3, which means the answer is y = 2/3x + 4.
Answer:
70
Step-by-step explanation:
Angle Q and angle P are supplementary angles, so they add up to 180 degrees.
6x + 4 + 10x = 180
16x + 4 = 180
16x = 176
x = 176/16
x = 11
Put x in angle Q as 11 and solve.
6(11) + 4
66 + 4
= 70
Angle Q measures 70 degrees.
Answer:
line a and b are parallel, there is no perpendicular lines
Step-by-step explanation:
Looking at the slope of each line, you can identify whether the lines are parallel, perpendicularlar, or neither.
When the slopes are the same, they are parallel.
When the slopes have opposite sign and numerator and denominator flipped, they are perpendicular. Ex.
and
are perpendicular slopes.
Finding slope is using the formula: 
Line a has slope
= 
Line b also has slope 
Line c has slope 2
Since slope of line a and b are same, they are parallel.
Line c is not perpendicular to line a and b because the slope should have opposite sign and numerator and denominator flipped, which is 4 not 2.