Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope (and always the factor of x). it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
b is the y-intercept, the y value of the point, where the line crosses the y-axis (in other words : the y value when x = 0).
so, look at the chart. where do we see points with integer coordinates (these are the easiest to read correctly and work with) ?
I see for example (0, -6) and (4, -7).
to go from the first to the second point :
x changes by +4 units (from 0 to 4).
y changes by -1 unit (from -6 to -7).
the slope a is therefore -1/4.
and the first point i picked gives us also automatically the y-intercept (-6).
so, the line equation is
y = (-1/4)x - 6
Answer:
<em>The square root of 36/196 is </em><em>3</em><em>/</em><em>7</em><em>.</em>
<em>The </em><em>square</em><em> root</em><em> of</em><em> </em><em>3</em><em>6</em><em>/</em><em>1</em><em>6</em><em>9</em><em> </em><em> </em><em>is </em><em> </em><em>6</em><em>/</em><em>1</em><em>3</em><em>.</em>
Answer:
Step 1, all the exponents are increased by 4
Step-by-step explanation:
The first incorrect step occurred in Step 1, where all the exponents were increased by 4.
This is mathematically incorrect due to exponential rules. When distributing exponents inside parentheses, we have to multiply the existing exponents inside the parentheses by the exponent outside the parentheses.
For example, (x²)³ is not x²⁺³, but rather, x⁽²⁾⁽³⁾.
We multiply the exponents instead of adding them together.
Therefore, the correct Step 1 should multiply all the variables' exponents by 4.
Steps 2 and 3 are correct since we do add the exponents when multiplying exponents with the same base, and we do subtract exponents with the same base when dividing.
Answer:
B is the area of the base
Step-by-step explanation:
V= 1/3 Bh
V is the volume
B is the area of the base
h is the height of the pyramid