Answer:
B (parallelogram)
Step-by-step explanation:
Hiiiiiiiiii
Surface area is different for each shape. Which shape do you need to know how to find it for?
Answer:
d.
Step-by-step explanation:
Left line is defined when x < 1 (x is less than 1). The point is not full and that means that x = 1 is not included.
Right line is defined when x is greater or equal to one x ≥ 1.
Options that have x < 1 and x ≥ 1 are b and d, so the answer is one of those.
Equations of the lines are in slope-intercept form y = mx + b, where m is slope and b is y-intercept.
Right line has steeper slope than left line, so the slope of right line will have bigger absolute value. That is the case with option d. (Left line has slope -1 and right one has slope -2, absolute value of right slope is bigger.)
You could also check with y-intercepts. Left line has y-intercept at y = 2 and left line is defined when x < 1. Only option d meets these conditions.
Answer:
48
Step-by-step explanation:
60 = 5x
x = 12
12x4 = 48
Move all terms to the left side of the equation and simplify.
<span><span><span><span><span><span>−2</span><span>x2</span></span><span><span>−8</span>x</span></span>+5</span>=0</span><span><span><span><span><span>-2</span><span>x2</span></span><span><span>-8</span>x</span></span>+5</span>=0
</span></span>The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
<span><span><span>b2</span><span><span>−4</span><span>(<span>ac</span>)</span></span></span><span><span>b2</span><span><span>-4</span><span>ac
</span></span></span></span>Substitute in the values of <span>aa</span>, <span>bb</span>, and <span>cc</span>.
<span><span><span><span>(<span>−8</span>)</span>2</span><span><span>−4</span><span>(<span><span>−2</span>⋅5</span>)</span></span></span><span><span><span>-8</span>2</span><span><span>-4</span><span><span>-2</span>⋅5
</span></span></span></span>Evaluate the result to find the discriminant.\
<span>104</span>