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jolli1 [7]
3 years ago
11

I need to find the value to m

Mathematics
2 answers:
Sedbober [7]3 years ago
4 0
The answer will be 159
RoseWind [281]3 years ago
4 0
M stands for measurement
measurement of angle FGH = 159 degrees

FGH = FGB + BGH
FGH = 105 + 54
FGH = 159 degrees

I hope this helps!
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Part 2: Use the information provided to write the vertex form equation of each parabola.
Serggg [28]

Answer:   1.  x = -2(y - 4)² + 1

                2.  x = -y² + 5

                3.  y = -5(x + 1)² + 2

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

Notes: The vertex formula of a parabola is x = a(y - k)² + h  or  y = a(x - h)² + k

  • (h, k) is the vertex
  • p is the distance from the vertex to the focus

    \bullet\quad a=\dfrac{1}{4p}

1)

\text{Vertex}=(1,4)\qquad \text{Focus}:\bigg(\dfrac{7}{8},4\bigg)\\\\\text{Given}: (h,k)=(1,4)\\\\\\p=focus-vertex=\dfrac{7}{8}-\dfrac{8}{8}=\dfrac{-1}{8}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{8})}=\dfrac{1}{-\frac{1}{2}}=-2

Now input a = -2 and (h, k) = (1, 4) into the equation x = a(y - k)² + h

x = -2(y - 4)² + 1

***********************************************************************************

2)

\text{Vertex}=(5,0)\qquad \text{Directrix}:x=\dfrac{21}{4}\\\\\text{Given}: (h,k)=(5,0)\\\\\\p=vertex-directrix=\dfrac{20}{4}-\dfrac{21}{4}=\dfrac{-1}{4}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{4})}=\dfrac{1}{-1}=-1

Now input a = -1 and (h, k) = (5, 0) into the equation x = a(y - k)² + h

x = -1(y - 0)² + 5    →    x = -y² + 5

***********************************************************************************

3)

\text{Vertex}=(-1,2)\qquad \text{Directrix}:y=\dfrac{41}{20}\\\\\text{Given}: (h,k)=(-1,2)\\\\\\p=vertex-directrix=\dfrac{40}{20}-\dfrac{41}{20}=\dfrac{-1}{20}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{20})}=\dfrac{1}{-\frac{1}{5}}=-5

Now input a = -5 and (h, k) = (-1, 2) into the equation y = a(x - h)² + k

y = -5(x + 1)² + 2

8 0
3 years ago
The total of p,t and d
frosja888 [35]

Answer:

what does that mean

Step-by-step explanation:

6 0
3 years ago
Add 7 3/10+4 4/15. Simplify the answer and write it as a mixed number.
aev [14]

Answer:

⟾11  \frac{17}{30}

Step-by-step explanation:

⟾7 \ \frac{3}{10}  + 4 \ \frac{4}{15}

⟾\frac{73}{10}  +  \frac{64}{15}

⟾\frac{219 +128 }{30}

⟾\frac{347}{30}

Now write as mixed fraction,

⟾11 \ \frac{17}{30}

Hope it's helps you

5 0
3 years ago
1. The matrices show the enrollment of boys and girls on the basketball, lacrosse, and soccer teams in two towns. (a) If we let
alexira [117]
(a). The element being asked is not specified but elements are named according to the number of the row followed by the number of the column. For example, element a₂₁ is the number of boys enrolled in Lacrosse.

(b). The address is a₁₂.

(c). [196   174]
      [136   169]
      [214    242]

(d). The matrix represents the number of boys and girls from towns A and B enrolled in different sports classes.

(e). 1.125 A = [108   90  ]
                       [72     99  ]
                       [117   135]
6 0
3 years ago
Consider the absolute vale function f(x)=-|x+2|-2<br>the vertex of the function is
Ilya [14]
The vertex of the absolute value function f(x) = |x| is (0,0).
What about <span>f(x)=-|x+2|-2?  This can be re-written as f(x) = -|x-(-2)| -2.
Three things happen here:  first, the graph of f(x) = |x| must be inverted, so that it opens down instead of up; second, the resulting graph must be translated 2 units to the left; and third, the resulting graph must be translated 2 units down.
 </span>
4 0
4 years ago
Read 2 more answers
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