Answer:
-3
Step-by-step explanation:
First, you can factor out a 6:
Next, you can factor the quadratic:
Since the only value of x that could set this equation equal to 0 is -3, that is the answer. Hope this helps!
Answer:
=204.13 inches.
Step-by-step explanation:
Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.
Sin 30 =x/hypotenuse.
sin 30 = 27/hyp
hyp= 27/sin 30
=54 inches
We can also find the adjacent as follows.
Cos 30 = adjacent/ 54
Adjacent= 54 cos 30
=46.77 inches
Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.
sin 45= x/hypotenuse
sin 45 =27/hypotenuse
hypotenuse = 27/sin 45
=38.18 inches
The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.
Perimeter = 54+ 46.77+27+ 38.18+38.18
=204.13 inches.
The equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.
<u>Step-by-step explanation:</u>
- Sally gets paid $15.00 dollars per hour for a 40-hour weekly work.
- She gets y dollars for each extra hour she works over 40 hours.
<u>The equation can be framed as :</u>
Let,
- x be the total pay she could get for 48 hours.
- The amount she earned for 40 hours = 40 × $15 ⇒ $600
- The amount she earned for extra hours = 8 × y ⇒ 8y
The equation is given as,
Total earnings = amount earned for 40 hours + amount for extra 8 hours.
⇒ x = 600 + 8y
Therefore, the equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.
The midpoint is (7,4.75) so the y-coordinate should be y=4.75. I hope that helps
