Answer: The required transformation rule is given by
(x, y) -----> (-x, y).
Step-by-step explanation: We are given to write a rule that describes a transformation across the y-axis.
We know that
if a point is reflected across the y-axis, then the sign before the x co-ordinate changes.
That is, if the point (x, y) is reflected (transformed) across the y-axis, then its new co-ordinates will be
(-x, y).
Thus, the required transformation rule is given by
(x, y) -----> (-x, y).
Answer:
Solution given:
<u>A.coordinate are</u>
A(-2,3)
B(0,-3)
C(4,5)
<u>B</u><u>.</u><u>Each</u><u> </u><u>length</u><u> </u><u>are</u><u> </u><u>:</u>
we have
length 
now
AB:
=
units
BC:
=
units
AC:
=
units
<u>C.</u><u> the </u><u>figure</u><u>:</u>
<u>By</u><u> </u><u>using</u><u> </u><u>Pythagoras</u><u> </u><u>law</u>
base[b]=AB=perpendicular [p]=AC
hypotenuse [h]=BC
we have
h²=p²+b²
substituting value
(
)²=2p²
16*5=2*(
)²
80=2*4*10
80=80
<u>SO</u><u> </u><u>IT</u><u> </u><u>IS</u><u> </u><u>RIGHT</u><u> </u><u>ANGLED</u><u> </u><u>ISOSCELES</u><u> </u><u>TRIANGLE</u><u>.</u>
The density (d) is the quotient when mass (m) is divided by the volume (v). It is specified that the densities be in units of g/cm³. So, there is a need to convert first the given mass and volume to proper units. The calculations are shown below,
2 m³ x (100 cm / 1 m)³ = 2.0x10^6 cm³
1x10^4 kg x (1000 g/ 1 kg) = 1.0x10^7 g
Calculating for density,
d = m/v = (1.0x10^7 g) / (2.0x10^6 cm³) = 5 g/cm³
Answer:
About $36
Step-by-step explanation:
Answer:
75-30/15=x
Step-by-step explanation:
75-30=45
45/15=3
75-30/15=x