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Alexxx [7]
2 years ago
5

Using the equation y^2=-5/4(x-2), find the equation of the directrix

Mathematics
1 answer:
kumpel [21]2 years ago
3 0

Answer:

Step-by-step explanation:

since its a horizontal parabola opening to the right we use a formula for the directrix

 x=h-p 4p=5/4 p=5

X= -3 v(h,k)=(2,0)

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Suppose △ABC has exterior angle at vertex B. The exterior angle is (12x−24)°, m∠A=(3x−6)°, and m∠C=(6x+12)°. What is the measure
Temka [501]

Answer: 96°

Step-by-step explanation:

If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.

Set them equal each other and solve for x.

(3x-6) + (6x +12) = 12x - 24     Combine like terms

9x + 6 = 12x - 24          Subtract 6 from both sides

    - 6             -6  

   9x = 12x - 30             Subtract 12x from both sides

-12x       -12x  

    -3x = -30               Divide both sides by -3    

 x = 10      

Now since  x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.  

   Exterior :  12(10) - 24

                    120 - 24  = 96

    This means the measure of the exterior angle at vertex B is  96 degrees.

6 0
3 years ago
A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two yea
Lelu [443]

Answer: aA 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years = (0.163,0.189)

Step-by-step explanation:

Let p = population proportion of adults in the U.S. who have donated blood in the past two years.

Given: A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years.

Sample size: n= 2322

Sample proportion q=\dfrac{408}{2322}=0.176

Critical z-value for 90% confidence level : z*=1.645

The confidence interval for population proportion:

q\pm z^*(\sqrt{\dfrac{q(1-q)}{n}})

A 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years:

0.176\pm (1.645)(\sqrt{\dfrac{0.176(1-0.176)}{2322}})\\\\=0.176\pm (1.645)(0.0079)\\\\=(0.176\pm0.013)\\\\=(0.176-0.013,0.176+0.013))\\\\=(0.163,0.189)

Hence,

6 0
3 years ago
What is the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the
schepotkina [342]
Lateral Area of a cylinder is ; 2πR.H

R=12 mm and H= 15 mm


Then LATERAL area = 2π(12)(15) =48π ≈ 150 mm²
5 0
3 years ago
What is the minimum value of h(x)?<br> h(x) = (x - 5)^2 + 6
zlopas [31]

Answer:

see in pdf the solution is there.

Step-by-step explanation:

Download pdf
3 0
2 years ago
Anybody can help with these 2 I would really appreciate it for my last grade
Mariulka [41]

Answer:

575x.25=143.75   575-143.75=$431.25

21.95x.15=$3.29 tip total bill $25.24

Step-by-step explanation:

6 0
2 years ago
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