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Pavlova-9 [17]
3 years ago
6

A jet plane flying at an altitude of 8000 meters drops 600 meters. What is the new altitude?

Mathematics
1 answer:
photoshop1234 [79]3 years ago
5 0
8000-600=7400 

7400 would be the new altitude using simple subtraction. 
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Danielle invests $2,007 in a retirement
ivanzaharov [21]
Formula For finding Simple interest= Profit x rate x time/ 100

Profit = $2,007 x Rate= 7% x Time = 16 years


2,007 x 7 x 16
__________ = 224,784 ÷100 = 2,247.84
100


Answer :- 2247.84
5 0
4 years ago
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Could someone help me rnnn?
GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola:  y=3x^2-4

Step-by-step explanation:

Given:

  • y-intercept of parabola: -4
  • parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola:  y=a(x-h)^2+k

(where (h, k) is the vertex and a is some constant)

Substitute point (0, -4) into the equation:

\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}

Substitute point (-2, 8) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}

Substitute point (1, -1) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}

Equate to find h:

\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}

Substitute found value of h into one of the equations to find a:

\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}

Substitute found values of h and a to find k:

\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}

Therefore, the equation of the parabola in vertex form is:

\implies y=3(x-0)^2-4=3x^2-4

So the vertex of the parabola is (0, -4)

5 0
3 years ago
Read 2 more answers
13x−6y=22 x=y+6 ​ whats the answer
Vikentia [17]

Answer:

x = -2 y = -8

Step-by-step explanation:

13x - 6y = 22

x - y = 6

6(x-y) = 6*6

6x - 6y = 36

subtract both the equations

13x - 6x -6y + 6y = -14

7x = -14

x = -2

13*-2 -6y=22

-26 -6y=22

-6y = 48

y = -8

answer: x = -2  y = -8

4 0
3 years ago
Oliver has 3 times as many rocks in his collection as Katie. Then Oliver collected 75 more rocks and Katie collected 105 more ro
Evgesh-ka [11]

Answer:

The answer to your question is Katie had 15 rocks and Oliver 45 rocks.

Step-by-step explanation:

Conditions

Katie has x amount of rocks

Oliver has 3x amount of rocks

The final amount of rocks

                                    Oliver = 3x + 75

                                     Katie = x + 105

Now, they have the same amount of rocks, then we can equal both equations

                                   3x + 75 = x + 105

Solve for x

                                     3x - x = 105 - 75

                                           2x = 30

                                             x = 30/2

                                             x = 15

Conclusions

At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks

5 0
3 years ago
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The diagram shows a right-angled triangle.
Margarita [4]
1/sin(38)*7=11.4
Hope it helps
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3 years ago
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