Answer: Ix+10I
Step-by-step explanation: To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10).
So,
g(x) = |x|
g(x+10) = |x+10| ... every x has been replaced with x+10
h(x) = g(x+10)
h(x) = |x+10|
We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph.
Answer:
3
Step-by-step explanation:
Since it's at the same time of the day, the ratio between the height of the person and the shadow they cast will stay the same. So the man's height to shadow ratio is 6:8 = 3:4. The son's height to shadow ratio would be the same so x:4 = 3:4 therefore his height is 3 feet.
Answer:
Solution given:
Y=90°
∠X=73°.
∠ZWY=80°
and XW=80.
ZY=?
We know that
In right angled triangle ∆ XYZ
Tan 73=
3.27=
3.27×[xy]=yz
xw+wy=
wy=-80...........(1)
again
In right angled triangle WYZ
Tan 80=
5.67×wy=yz
wy=
yz=5.67×wy............................................(2)
E<u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>equation</u><u> </u><u>1</u><u>&</u><u>2</u>
=-80
-=80
5.67yz-3.27yz=80*5.67*3.27
2.4yz =1483.272
yz=
yz=618.03
:.y=618.03unit.<u>the length of ZY to the nearest 100</u><u>th</u><u> </u><u>is</u><u> </u><u>6</u><u>1</u><u>8</u><u>.</u>
Answer:
it’s because 0.50 is half of 100 and 1/2 is a reduced fraction of 50/100.
Step-by-step explanation:
8 x (5 x 2 + 3)= 8 x ( 15 + 3) = 8 x 13 = 104.
Hope I helped!(:
