Triangle Q R S is shown. Angle Q R S is 100 degrees. The length of Q R is 2.4 and the length of Q S is 3.5. Law of sines: StartF
raction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction Which equation is true for triangle QRS? StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (S) Over 2.4 EndFraction StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (Q) Over 2.4 EndFraction StartFraction sine (100 degrees) Over 2.4 EndFraction = StartFraction sine (S) Over 3.5 EndFraction StartFraction sine (100 degrees) Over 24 EndFraction = StartFraction sine (Q) Over 3.5 EndFraction4
2 answers:
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Answer:
Step-by-step explanation:
To find the intercept with the x axis, we make h (x) = 0.
0 = (x + 1) ^ 2 - 4
0 = x ^ 2 + 2x + 1 -4
0 = x ^ 2 + 2x - 3
0 = (x +3) (x-1)
x = 1
x = -3
To find the intercept with the y axis, we make x = 0.
y = (0+1)^2 -4
y = -3
For a quadratic equation of the form ax ^2 + bx+ c
The vertex is calculated with the formula x = -b/2a
So:
x = -2/2(1)
x = -1
Finally the axis of symmetry of a quadratic function always passes through the vertex.
So:
x = -1
Below is a graph for this function, where you can see the cut points with the axes, the vertex and axis of symmetry
Answer:
5.9
Step-by-step explanation:
Area of a triangle is 1/2 base times height. the base is the horizontal part of the triangle and the height is the vertical part. Since it a isosceles they are equal. Those two segment are also called the legs (remember that for later). 4x4=16 times 1/2 equal 8 cm squared. So know me must find the hypotenuse. Since we since dealing with a right triangle we are going to use pythagorean theorem which is
where a and b are the LEGS and c is the hypotenuse. the legs are also known as base and height so we use
which simplify to
which is about 5.9