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igomit [66]
3 years ago
11

If g(x)=−3x+9 g ( x ) = − 3 x + 9 and f(x)=2x+7 f ( x ) = 2 x + 7 , what is the value of g(f(x)) g ( f ( x ) ) ?

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0
G(f(x)) = g(2x +7) = -3(2x +7) +9 = -6x -21 +9

g(f(x)) = -6x -12
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Given circle X with radius 5 units and chord AB with length 8 units, what is the
kvv77 [185]

Answer:  The correct option is (B) 3.

Step-by-step explanation:  We are given a circle X with radius 5 units and chord AB with length 8 units.

We are to find the length of segment XC that bisects chord.

We know that the line segment drawn from the center of a circle to the midpoint of a chord is perpendicular to the chord.

So, in the given circle X, the segment XC is perpendicular to chord AB. Then, triangle  XCB will be a right angled triangle with hypotenuse XB.

Since XC bisects AB, so the length of BC will be

BC=\dfrac{AB}{2}=\dfrac{8}{2}=4~\textup{units}.

And, radius, XB = 5 units.

Using Pythagoras theorem in triangle XCB, we have

XB^2=XC^2+BC^2\\\\\Rightarrow XC^2=XB^2-BC^2\\\\\Rightarrow XC^@=5^2-4^2\\\\\Rightarrow XC^2=9\\\\\Rightarrow XC^2=3^2\\\\\Rightarrow XC=3.

Thus, the length of the segment XC is 3 units.

Option (B) is CORRECT.

3 0
3 years ago
A month ago, the ratio of nurses to doctors on a hospital staff was 3:5. Since that time, two additional nurses joined the staff
bija089 [108]

Answer:

8

Step-by-step explanation:

The ratio of nurses to docters a month ago was 3:5. Now, it's 4:5. You can tell that there aren't 4 nurses because 3 => 4 is only one nurse. If you duplicate both ratios (multiply both sides by 2), you get 6:10 (for a month ago) and 8:10 (now). This is correct because 6+2=8. Hope it helps!

6 0
3 years ago
(0,6) (-4,-9)
Olegator [25]

Answer:

d=√(16+225)

d=√241

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6 0
2 years ago
Help please and show work
gizmo_the_mogwai [7]

Answer:

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Step-by-step explanation:

l ueq hay quoehcer  e trasdcuilroxd os ry no esrntendo nadaia

7 0
2 years ago
An ellipse has a vertex at (4,0), a co-vertex at (0,3), and a center at the origin. Which is the equation of the ellipse in stan
bekas [8.4K]

ANSWER

\frac{ {x}^{2} }{ 16}  + \frac{ {y}^{2} }{ 9}   = 1

EXPLANATION

The given ellipse has a vertex at (4,0), a co-vertex at (0,3), and a center at the origin.

The equation of an ellipse with vertices on the x-axis and center at the origin is:

\frac{ {x}^{2} }{ {a}^{2} }  + \frac{ {y}^{2} }{ {b}^{2} }   = 1

The ellipse has vertex at (4,0) , hence a=4.

Also the co-vertex is at (0,3) , b=3

We substitute the values into the equation to get:

\frac{ {x}^{2} }{ {4}^{2} }  + \frac{ {y}^{2} }{ {3}^{2} }   = 1

\frac{ {x}^{2} }{ 16}  + \frac{ {y}^{2} }{ 9}   = 1

6 0
3 years ago
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