Answer:
you want to flip the original coordinates and make them both negative so (x,y) would become (-y,-x) so in your problem here Q' would be (0,-7), R' would be (-5,-8), S' would be (-10,-7) and T' would be (-5,-2). Hope that helped :>
Step-by-step explanation:
Answer:
110
Step-by-step explanation:
To find the constant of variation, divide the number of km by the number of hours:
165/1.5
= 110
This means that the speed of the train is 110 km per hour.
So, the constant of variation is 110.
Answer :

Step-by-step explanation :
To find the product of

First we expand the bracket ,
it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.
Hence


we now apply the law of indices

meaning, when you are multiplying two expressions with the same bases , repeat one of the bases and add the exponents.
Then, simplify to obtain
Answer:
y= 0.25x +3
Step-by-step explanation:
<u>Slope-intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept.
y= 0.25x -5
This equation is already in the slope-intercept form, hence we can easily identify its slope from the coefficient of x.
Slope= 0.25
Parallel lines have the same slope.
Thus, the slope of the line is also 0.25.
Substitute m= 0.25:
y= 0.25x +c
To find the value of c, substitute a pair of coordinates.
When x= 8, y= 5,
5= 0.25(8) +c
5= 2 +c
c= 5 -2
c= 3
Hence, the equation of the line is y= 0.25x +3.
Answer:
29.58 mi²
Step-by-step explanation:
The figure is a trapezium and area can be calculated using the formula
A =
h(a + b)
where h is the height and a, b the parallel bases
here h = 3.4, a = 5.4 and b = 12
A = 0.5 × 3.4(5.4 + 12) = 1.7 × 17.4 = 29.58 mi²