<h2>
x = 2 and y = - 3</h2>
Step-by-step explanation:
The given system of linear equations:
x - 2y = 8 ........ (1)
and 4x + y = 5 ........ (2)
To find, the values of x and y = ?
Multiplying equation (2) by 2, we get
2(4x + y) = 5 × 2
⇒ 8x + 2y = 10 ........ (3)
Adding equations (1) and (3), we get
x - 2y + (8x + 2y) = 8 + 10
⇒ x - 2y + 8x + 2y = 8 + 10
⇒ 9x = 18
⇒ x = 2
Put x = 2 in (1), we get
2 - 2y = 8
⇒ 2y =2 - 8
⇒ 2y = - 6
⇒ y = - 3
∴ x = 2 and y = - 3
Answer:
answer: "Miguel's team did not win the game".
Step-by-step explanation:
Negation of a statement means if a statement is true then it's negation is false and if a statement is false then it's negation is true.
Here, we are given a true statement "Miguel's team won the game" so it's negation will be a false statement "Miguel's team did not win the game".
Answer: Statement Course 2 median is bigger.
Step-by-step explanation: Median or course 1 is 19 Course 2 is 20 19<20
Answer:
B
Step-by-step explanation:
draw a right angled triangle with the right angle in the bottom left
label P as the bottome left corner and write its coordinates next to it
do same with Q
the length of the triangle is 4 (8-4 = 4)
the height is 10 (12-2 = 10)
use pythagoras to work out the hypotenuse:

The formula to find the volume of a rectangular solid is the first one.
V = lwh