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antoniya [11.8K]
3 years ago
5

Determine the length of the radius of the circumscribed circle to the right triangle with the legs 7 cm and 4cm.Round your answe

r to the nearest hundredth
Mathematics
1 answer:
Kruka [31]3 years ago
6 0

Answer:

4.03cm

Step-by-step explanation:

Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.

To get the diameter, we will use the pythagoras theorem as shown;

d² = 7² + 4²

d² = 49 + 16

d² = 65

d = √65

d = 8.0622577

Since radius = d/2

radius = 8.0622577/2

radius = 4.0311288

Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm

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Solve the quadratic equation y^2-2y-35=0
soldier1979 [14.2K]

Hello,

To solve we need to factor y^2-2y-35:

(y-7)(y+5)=0

Now solve for :

(When will (y-7)(y+5)equal zero?)

When y-7=0 or y+5=0

Solve for the 2 equations above and;

y= 7,-5

Hope this helps, have a great day!



6 0
3 years ago
Find the slope of the tangent to the graph of the given function at the indicated point. HINT [Recall that the slope of the tang
Mrac [35]

f'(x)

=  8{x}^{7}

slope

8 {( - 8)}^{7}  =  -  {8}^{8}

6 0
3 years ago
The graphed line shown below is y=-3x+6
Bezzdna [24]
<h2>Answer:</h2>

y=-3\left(x+6\right)

<h2>Step-by-step explanation:</h2>

From the given graph, we can know two points:

P_{1}(x_{1},y_{1})=(2,0) \ and \ P_{2}(x_{2},y_{2})=(1,3)

Using the slope intercept form of the equation of a line, we get:

y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1}) \\ \\ y-0=\frac{3-0}{1-2}(x-2) \\ \\ y=-3(x-2) \\ \\ y=-3x+6

Where the slope is m=-3 and the y-intercept is b=6

From mathematics, we know that a system of two linear equations has no solution if and only if the two equations have the same slope, but not the same y-intercept. So, from the options, the second equation is:

y=-3(x+6)

And the slope intercept form of this equation is:

y=-3x-18

So the slope is m=-3 and the y-intercept is b=-18, the systems formed by these two equations has no solution.

6 0
4 years ago
Read 2 more answers
Given: f(x)9x+5, find f^-1(x) then state whether f^-1(x) is a function.
Nataly_w [17]
F(x) = 9x + 5
y = 9x + 5
9x = y - 5
x = (y - 5)/9
f^-1(x) = (x - 5)/9

f^-1(x) is a function.
4 0
3 years ago
Select two ratios that are equivalent to 2 : 9.
Veseljchak [2.6K]

Answer:

4:18 or 20:90 or 8:36

Step-by-step explanation:

I don't see any answer choices to select but make sure they are both multiplied by the same number. A possible answer could be 4:18 or 20:90

<u>Hope this helps :-)</u>

5 0
4 years ago
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