Answer:
-4h < - 14
We solve for h by applying the inverse operations;
The inverse operation of multiplication is division, so we divide by -4 on both sides;
/-4 /-4
h < 3.5, it could be <u>3.4, 3.3, 3.2 3.123, 2.4, 2.576</u>, there are tons of numbers below 3.5.
<u>So anything below 3.5 would best be suitable for the equation.</u>
P(n, r) = n!
____
(n-r)!
= 8!
____
(8-1)!
= 8
Answer:
g=56
Step-by-step explanation:
In similar shapes, corresponding sides are always in the same ratio.
For example,
if the sides in triangle 1 were a and b, and triangle 2 had side lengths c and d, c and a had the same ratios, and b and d had the same ratios
and triangle 1 was similar to triangle 2, the ratio between the sides of the triangles would be
a/c, which is also equal to b/d
What that means is that in this situation, 8/5=g/35.
8/5=g/35
Cross multiply.
(8)*(35)=g*(5)
280=5g
g=56
We have that
A(-2,-4) B(8,1) <span>
let
M-------> </span><span>the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3
we know that
A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
</span>distance MB is equal to (3/5) AB
<span>so
step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
</span>Mx=-2+(2/5)*10-----> Mx=2
step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2
the coordinates of point M is (2,-2)
see the attached figure
Look at the graph thoroughly .
It passes through origin and given some points
(-1,1)
(1,-1)
(2,-2)
(-2,2)
We observe that

Hence whatever the function be the result will be -x
Option D is correct