Answer:
see explanation
Step-by-step explanation:
Her error is in squaring (2y)²
She has (2y)² = 2y²
when it should be 2y × 2y = 4y²
Then
(2y)² = 6² + 8²
4y² = 36 + 64
4y² = 100 ( divide both sides by 4 )
y² = 25 ( take square root of both sides )
y = = 5
Answer:
(8,-1)
Step-by-step explanation:
Given :
To Find: solution of given system of equations.
Solution:
Equation a :
Equation b :
Substitute the value of y from equation b in equation a
y from equation b : y = 7-x
Now substitute value of y in equation a
Thus equation a becomes:
⇒ x= -1 and x = 8
Now substitute values of x in equation b to obtains values of y
⇒
for x = -1
⇒
⇒
⇒
Thus (x,y)=(-1,8)
For x =8
⇒
⇒
⇒
Thus (x,y)=(8,-1)
Hence Option A is the correct solution .
Answer:
First Graph is Correct
Step-by-step explanation:
We are given the inequality:
This means any number EQUAL TO or LESS than 46
Since, we have "equal to", there should be a "closed" circle on 46 (it means 46 is included).
LESS THAN means all numbers to the "LEFT".
Looking at the 4 number lines, we can eliminate last 2 choices since they don't have closed circles.
As for the first two choices, the first choice is correct because it shows us all the numbers left of 46 and 46 included (signified by the closed circle).
So, the first number line is the solution