Answer:
the last one: yes it can, because -4.5 lies to left of -3.5
Step-by-step explanation:
D is the only point that is a solution to the graph.
You can tell this in two ways. Firstly, you can look into the graph and find the points that are in between the two parabolas. You'll notice only D falls between those two.
The second way is that you can plug into each equation algebraically to see if they produce true statements. D produces two true statements.
y < x^2 + 2
-2 < 0^2 + 2
-2 < 2 (TRUE)
y > x^2 - 6
-2 > 0^2 - 6
-2 > -6 (TRUE)
Answer:
Add 37 on both sides.
Subtract x from both sides.
LHS=RHS for all values of x. It means equation x-37=x-37 has infinite many solutions.
All options are correct.
Step-by-step explanation: Hope this helped you!
Answer:
4(x - 2) + x = 5x + 8
Step-by-step explanation:
In an equation with a single variable, if that variable value is any integer divided by zero then it will have infinite numbers of solutions.
<h3> Example </h3>
4(x - 2) + x = 5x + 8
To solve this, we need to rearrange like terms to the same side.
4x - 8 + x = 5x + 8
4x + x - 5x = 8 - 8
5x - 5x = 0
x(5-5) = 0
x(0) = 0
x = 0 / 0
x = ∞
Since zero is in denominator , it means that the equation has infinite number of solutions.
Answer: 3.5 in
Step-by-step explanation
∡DOC=90°
DC=7
OC=5
Using Pytagora equation:
DO=√DC²-OC²
DO=√49-25
DO=2√6
Use Equation for area of triangle:
area of ΔDOC=a*Ha/2
DC=a=7
Ha=x---hight of ΔDOC
Area of ΔDOC=DO*OC/2
2√6*5/2=5√6
5√6=7*x/2
10√6=7*x
x=10/7√6
x=24.5/7
X=3.5 in