Answer:
the solution set is: x < 1
Step-by-step explanation:
Given that:
-6x+5>-1
We have to find solution for x so by simplifying:
Subtracting 5 from both sides we get:
-6x+5 - 5>-1 - 5
Both 5s on left side will be cancelled out:
-6x > -6
Dividing both sides by -6 will change the sign of inequality:
-6x/-6 < -6/-6
x < 1
So the solution set is: x < 1
i hope it will help you!
Step-by-step explanation:
Given : A triangle with side lengths 
To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?
Solution :
For right triangle the Pythagorean theorem is to be satisfied.
i.e. 
Here, 
Substitute the values,



LHS=RHS
It is a right triangle.
Answer:
x = 1
Step-by-step explanation:
Rearrange equation by making x's on one side and numbers on the other
2x - x = 9 - 8
x = 1
Answer:
The other midpoint is located at coordinates (-9,-2) (Second option)
Step-by-step explanation:
<u>Midpoints</u>
If P(a,b) and Q(c,d) are points in
, the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by


We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.
The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:
x (other endpoint)= - 4 - 5 = - 9
So the other midpoint is located at (-9,-2) (Second option)
Answer:
She will make a profit of one dollar because the cost of operation and production is 203 dollars in total and selling 17 necklaces she will make 204 dollars
Edit: b) She will need to sell exactly seventeen necklaces
Step-by-step explanation: Hope this helps!