If sarah is 24 years younger than her mother and if the sum of their age is 68 how old is sarah
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To find the x intercepts, we need to put the standard form equation into factored form.
Which two numbers multiply to -8 and add to -2?
So the factored form is
That means the x intercepts are at
So now we have the x intercepts.
To find the vertex, we need to convert the standard form equation into vertex form.
The formula of vertex form is
Since the a value in the standard form equation is 1, the a value in vertex form is also one.
The h value can be found using the formula
Which comes out to or 1.
To find the k value, we can just plug in what we got for h back into the equation.
So the vertex is .
This also means the axis of symmetry is
Finally, to find the y intercept, we plug in 0 for x and solve.
So the y intercept is .
A) The hypotenuse is the longest side of the triangle .In the figure EG is the hypotenuse.The given angle is <G=40 degrees.The side adjacent is FG= 10 units.
The question is asking us to find the trigonometry ratio which will help us find EG.We can use cos as cos is ratio of adjacent and hypotenuse.
B) Cos 40 =0.766.
Substituting tan40 value we have:
EG=13.05.
C)Sum of angles in triangle is 180.
<E+<F+<G=180
<E+90+40=180
<E+130=180
<E=50 degrees.
D)
EF=8.39
E) Area of triangle EFG=
A rea of the triangle =
Area= 54.75 square units.