Answer:
E. None of these
Step-by-step explanation:
Points: (11, -4), (13, -7)
slope = m = (y2 - y1)/(x2 - x1) = (-7 - (-4))/(13 - 11) = (-7 + 4)/2 = -3/2
y - y1 = m(x - x1)
y - (-4) = (-3/2)(x - 11)
y + 4 = (-3/2)x + 33/2
y + 8/2 = (-3/2)x + 33/2
y = (-3/2)x + 25/2
Answer: E. None of these
Answer:
3
Step-by-step explanation:
Answer:
Hey kid stop cheating XDDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
1. You must apply the following formula:
LA=<span>1/2 ×(Perimeter of the base)(Slant length)</span>
<span>
</span>
<span> 2. The slant length is (By </span><span> the
Pythagorean Theorem):</span>
<span> a</span><span>^2=b^2+c^2</span>
<span> </span><span>a= b^2+c^2</span>
<span> a</span><span>=</span><span>√(</span><span>1^2+3^2)</span>
<span> </span><span>a=√10</span>
<span>
</span>
<span> 3. </span><span>The p</span><span>erimeter of the base is:</span>
<span>
</span>
<span> </span><span>P=2+2+2+2</span>
<span> </span><span>P=8</span>
<span>
</span>
<span> 4. </span><span>Then, you have:</span>
<span>
</span>
<span> LA=</span><span>1/2 ×(Perimeter of the base)(Slant Length)</span>
<span> LA=</span><span>1/2 ×(8)(</span><span>√</span><span>10)</span>
<span> LA=</span><span>(</span><span>8√10)/2</span>
<span> LA=</span><span>4√10</span>
Answer:
- turning point: (0, -1)
- domain, range: all real numbers
- x-intercept: (1/27, 0)
- y-intercept: (0, -1)
- transformations: vertical expansion by a factor of 3; translation down 1
Step-by-step explanation:
There are a couple of transformations that may be of interest:
g(x) = k·f(x) . . . . vertical scaling by a factor of k
g(x) = f(x) +k . . . vertical translation by k units (up)
g(x) = f(x -k) . . . horizontal translation by k units (right); <em>not used here</em>
__
Unlike the square root function, which is undefined for negative values, the cube root function is defined for all real numbers. Its domain and range are all real numbers.
The turning point of a cube-root function is the origin. Here, that has been translated down 1 unit, so it is (0, -1). That is also the y-intercept.
The x-intercept is the value of x where g(x)=0:
0 = 3∛x -1
1 = 3∛x
1/3 = ∛x
(1/3)³ = x = 1/27
The x-intercept is (1/27, 0).
__
<u>Transformations</u>
As we discussed above, the addition of -1 to the parent function causes it to be translated down 1 unit.
The multiplication of the parent function by 3 causes it to be vertically expanded by a factor of 3.