If 6 cost $60, how much do 8 cost

What is the image of (-9,0) after a reflection over the line y=x

SpyIntel [72]

Answer:

(0,-9)

Step-by-step explanation:

The image of a point $(x,y)$ over a line $y=x$ is given by the co-ordinate rule:

$(x,y)$ → $(y,x)$

So, when we reflect a point over the line $y=x$ , the x co-ordinate and y co-ordinate change their places.

Here, $(x,y)$ is $(-9,0)$ . So, from the above rule, after reflection over the line $y=x$ , the image has the following co-ordinates:

$(0,-9)$

4 0

3 years ago

(c) One lorry travels from your town to another town. The lorry reaches a top speed

Katen [24]

Answer:

The average speed is 24 km/h less than the top speed of the lorry.

Step-by-step explanation:

The top speed of the lorry is the highest speed reached during transit, while its average speed is the mean speed attained

Given:.

Top speed of the lorry = 90 km/h

Average speed of the lorry = 66 km/h

Then,

The difference between the speed reached = top speed - average speed

= 90 - 66

= 24 km/h

Therefore, the average speed is 24 km/h less than the top speed of the lorry.

8 0

3 years ago

You served food to a group at a restaurant. The total cost of the food was $42.00. The sales tax is 8% of the cost of food. The

Inessa05 [86]

Answer:3 and 9 over 25

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Dan's Dog-Walking Business

klasskru [66]

Answer: DO I LOOK GOOD?

Step-by-step explanation:

8 0

2 years ago

1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilatera

Aleksandr [31]

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

$SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}$

$SP \approx 8.246$

$PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}$

$PA \approx 8.246$

$AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}$

$AZ \approx 8.246$

$ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}$

$ZS \approx 8.246$

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

$m_{SA} = \frac{6-(-4)}{6-(-4)}$

$m_{SA} = 1$

$m_{PZ} = \frac{4-(-2)}{-2-4}$

$m_{PZ} = -1$

Since $m_{SA}\cdot m_{PZ} = -1$ , diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

$M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)$

$M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)$

$M_{SA} = (-2,-2)+(3,3)$

$M_{SA} = (1,1)$

$M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)$

$M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)$

$M_{PZ} = (2,-1)+(-1,2)$

$M_{PZ} = (1,1)$

Then, the diagonals SA and PZ bisect each other.

8 0

2 years ago

If 6 cost $60, how much do 8 cost​

If 6 cost $60, how much do 8 cost