9514 1404 393
Answer:
24 square units
Step-by-step explanation:
The triangle is a right triangle with legs 6 and 8. Its area is ...
A = 1/2bh = 1/2(6)(8) = 24 . . . . square units
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<em>Additional comment</em>
The equation for a line in <em>intercept form</em> is ...
x/a + y/b = 1
where 'a' and 'b' are the x- and y-intercepts, respectively. If we divide the given equation by 2, we get ...
x/6 +y/8 = 1
showing us that the x- and y-intercepts are 6 and 8. This is also clear on the graph.
Answer:
Step-by-step explanation:
Given the slope and another point, simply plug them into the point-slope formula to find your y-intercept.
Now that we've found your y-intercept, we have the original equation. To find the perpendicular equation, you need the opposite reciprocal of your slope.
To find the 'opposite,' change your slope's sign. Since your slope is positive , the opposite is
.
To find the 'reciprocal,' flip your fraction. This will make your slope .
Your final equation is:
is the same thing here as the other triangles, the triangle below is an equilateral, the one above is an isosceles.
the <u>vertex</u> of the isosceles is 40°, so the twins angle at the <u>base</u> are (180 - 40)/2 = 70° = x each.
since the sides in the equilateral are all the same length, then 2y + 10 = x - y, but we already know what "x" is, so
Answer:
ind the absolute value vertex. In this case, the vertex for y=−|x|−2 is (0,−2).
(0,−2)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)
Set-Builder Notation: {x|x ∈ R}
For each x value, there is one y value. Select few x values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.
x y
−2 −4
−1 −3
0 −2
1 −3
2 −4
Step-by-step explanation:
