First we have to write these words in math. This now looks like 3x^2 = 15x. We can also write this as 3x^2 - 15x = 0. This looks like a quadratic, and it is! We can factor this quadratic into the product of two binomials, or (3x + 0)(x - 15).
In order to make (3x)(x - 15) equal to 0, either (3x) or (x-15) has to be equal to zero. This is because the product of a number and 0 always equals the number 0.
If 3x = 0, x needs to equal 0. But because x is a non zero number, x can't be zero.
Moving on to x-15 = 0, we see that x can equal 15. So the two possible values of x in our equation (3x)(x-15) are 0 and 15. We can eliminate 0 because x is a non zero number to get 15 as our final value for x.
Answer:
Mass is both a property of a physical body and a measure of its resistance to acceleration when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies. The basic SI unit of mass is the kilogram.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The Pythagorean Theorem says that a^2 + b^2 = c^2 where a and b are the two legs.
In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.
4^2 + = C^2
16 + 50 = c^2
66 = c^2
c =
Answer:
B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.
Step-by-step explanation:
<u>Let's convert the standard equation into slope-intercept form:</u>
- Ax + By = C ⇒ subtract Ax from both sides
- By = -Ax + C ⇒ divide both sides by B
- y = -A/Bx + C/B ⇒ converted to slope- intercept form
As we see the slope is -A/B
<u>The equation 7x + 9y = 14 is converted as:</u>
- y = -7/9x + 14/9, where the slope is -7/9
<u>Looking at the answer options and the correct one is option B, where both identification of slopes match.</u>
- B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.
Answer:
4/5
Step-by-step explanation: