Answer:
All real numbers
Step-by-step explanation:
3(5x - 4) < 15x
~Distribute left side
15x - 12 < 15x
~Subtract 15x to both sides
-12 < 0
Best of Luck!
To solve for the last side of the triangle, use the Pythagorean Theorem:
(8)^2 + x^2 = (9)^2
x = sqrt of 17
However, this is a NEGATIVE sqrt 17 because the terminal side is in quadrant 4, meaning that this side is under the X-axis and therefore negative.
Now that you know the side opposite of u in the triangle, do opposite/hypotenuse.
sin u = -(sqrt 17)/9
Answer:
A
Step-by-step explanation:
Given
x² - x = 30
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(-
)x +
= 30 + 
(x -
)² =
Take the square root of both sides
x -
= ±
= ± 
Add
to both sides
x =
±
, thus
x =
-
= - 5
x =
+
= 6
If x is 100-26
x=74
So
The square root of 7+ x is
Answer:
6.87 g/mL
Step-by-step explanation:
The density of an object can be found by dividing the mass by the volume.

We know that the aluminum occupies a volume of 12.7 milliliters and weighs 87.3 grams. Therefore, the mass is 87.3 g and the volume is 12.7 mL.

Substitute the values into the formula.

Divide 87.3 g by 12.7 mL

Round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 7 in the hundredth place.

The density of the aluminum is about 6.87 grams per milliliter.