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dsp73
3 years ago
10

When the focus and directrix are used to derive the equation of a parabola, two distances were set equal to each other. = The di

stance between the directrix and __ is set equal to the distance between the___and the same point on the parabola.
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0

<span> When the focus and directrix are used to derive the equation of a parabola, two distances were set equal to each other.
The distance between the directrix and<span> a point on the parabola </span>is set equal to the distance between the focus and the same point on the parabola. </span>
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Can you help me fill in the blanks?
liberstina [14]

Answer:

Step-by-step explanation:

In Δ ABC & ΔADC

AC bisect ∠BCD           given

∠ACB ≅ ∠ACB                   AC bisect ∠BCD  

DC ⊥ AD                        Given

BC ⊥ AB                        Given

∠ABC = ∠ADC               Right angles are ≅

AC ≅ AC                       Common to both triangle ΔABC & ΔADC

ΔABC ≅ ΔADC             AAS congruent

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3 0
3 years ago
Find the measure of anglexin the figure below:O 95O 55O
jolli1 [7]
Since a triangle equals 180°

We know that x and y angles are the same. 

And that 55° + 30° + y = 180°

We just subtract!
sooo
180 - 55 - 33 = 95 

So this means y = 95°

And x and y equal the same measurement. 
sooo you answer is...

<span>x = 95°
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7 0
4 years ago
Read 2 more answers
Can someone please answer these questions?
Arisa [49]

Keep in mind that you can gather only like terms. Two terms can be summed/subtracted if they involve the same powers of the same variables.

So, going point by point:

  1. We can subtract the terms, because they both involve the variable b, and we have 3b-7b = (3-7)b = -4b
  2. We can sum the terms, because they all involve the variable a, and we have a+a-5a = (1+1-5)a = -3a
  3. We can't sum this terms: 3 is a pure number, while 3r involves the variable r.
  4. We can only sum the two terms: we have 7t-8t-8 = (7-8)t-8 = -t-8
  5. We can't sum this terms: -20 is a pure number, while -15p involves the variable p.
  6. We can sum the terms, because they all involve the variable g, and we have -g-g-g = (-1-1-1)g = -3g
7 0
3 years ago
Show how to solve this
alekssr [168]

Answer:

86093440 /129140163

Step-by-step explanation:

Explanation in the Images. I can clarify further if needed.

6 0
3 years ago
John stands 150 meters from a water tower and sights the top at an angle of elevation of 36º. If John's eyes are 2 meters above
horsena [70]

Answer:

The height of tower DB=111\ meters.

Step-by-step explanation:

Diagram of the given scenario is shown below.

Given that,

Distance between John and tower is  CE=150 \ meters.

Angle of elevation to the top of the tower is \angle DEC=36°.

Height of John is  CB=2\ meters.

To Find: Height of the tower DB.

So,

In triangle ΔDCE,

                    Tan(∠DEC)= \frac{DC}{CE}

                    Tan (36)= \frac{DC}{150}

                     DC= tan(36)\times 150

                     DC=108.98\ meters

Now,

To calculate the height of tower we have

                    DB=DC+CB

                    DB=108.98+2

                    DB=110.98\ meters ≈ 111 \ meters

Therefore,

The height of tower DB=111\ meters.

           

6 0
3 years ago
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