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Sergeeva-Olga [200]
3 years ago
14

Geometry! Please help! What is the area of this triangle?

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0
In both cases, the area of the triangle can be computed from the formula
  A = (1/2)bh
where b is the length of the base, and h is the height perpendicular to the base.

1. It is convenient to use DE as the base. Its length is 4-1 = 3. Then the height is the distance from F to DE, which is 1-(-3) = 4. By the formula, the area is
  A = (1/2)(3)(4) = 6

2. It is convenient to use LK for the base. Its length is 4-0 = 4. Then the height is the distance from J to the line y=-5, which is -1-(-5) = 4. By the formula, the area is
  A = (1/2)(4)(4) = 8
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Find the value of x in the following..... 3^x = 8​
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Find an equation of the circle and sketch it if it has: Center on y=4, tangent x-axis at (–2, 0)
Digiron [165]

Answer:

(x+2)^2+(y-4)^2=16

OK, lets start by drawing a basic graph (the first one) so we can visualize.

We already know that the y coordinate of the circle's center is 4.

We know that the circle is tangent to the X axis at (-2,0)

That means the x coordinate of the center has to be -2, as the tangent is a point on the edge of the circle that touches a line at exactly one point.

The radius is the distance from the center of the circle to its edge. We know the center's location now, it is (-2, 4) and a point on the edge of the circle (the tangent point) which is (-2,0). so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)

We can imagine the circle should look like this (the second one):

Now we can piece together an equation

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius. When we put the numbers in: we get (x-(-2))^2+(y-(4))^2=4^2 which can be simplified into (x+2)^2+(y-4)^2=16 which is the answer.

Step-by-step explanation:

4 0
3 years ago
1. Bobbi worked 32 hours last week.
MArishka [77]

Answer:

$284.80

Step-by-step explanation:

You multiply how long she worked, 32 hours, by the amount of money she makes per hour, $8.90, to get a total of $248.80.  

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