Answer:
The coordinates of the science lab is:
x = -14/3 , y = 1
Step-by-step explanation:
∵ P is (-8 , -1) and Q is (2 , 5)
∵ The point of the science lab is (x , y)
∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)
∴ 
∴ 
∴ 
∴ 
∴ The point of science lab = (-14/3 , 1)
In order to form triangle PQT and quadrilateral TQRS, point T must lie on line PS which is 16 cm. long.
If the ratio of PT to TS is 5:3 and the total length of PS is 16, then PT must be 10 and TS must be 6 (10 + 6 =16) and 10:6 is the same ratio as 5:3. Another way to think about it is 5/3 = 10/6.
Now you have all the lengths that you need to find the areas of the quadrilateral and the triangle.
Make sure you draw a diagram of it!!
Answer:
where...................
Step-by-step explanation:
.........................
5384=5000+384
4 * 5384 = 4(5000+384) = 4 * 5000 + 4 * 384
4 * 5000 = 20000
20000 + 4 * 384
So to find 5384 * 4, you add 20000 to 4*384. Less calculations
Answer:
p= −7
Step-by-step explanation: