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nevsk [136]
3 years ago
15

1.) Jessica went deep sea diving. She makes the first stop on her descent at 25 meters below the surface of the water. From that

point she dives down further, stopping every 5 meters. If she makes 4 additional stops,which number represents her position, relative to the surface of the water?
Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

\boxed{\text{-45 m}}

Step-by-step explanation:

The surface of the water is at 0 m. Heights above the surface are positive and depths below the surface are negative.

\begin{array}{cc}\textbf{Stop} & \textbf{Change in Depth/m} \\1 & -25 \\2 & -5 \\3 & -5 \\4 & -5 \\5 & -5 \\\text{TOTAL DEPTH =} & \mathbf{-45} \\\end{array}\\\text{Jessica's depth relative to the surface of the water is $\boxed{\textbf{-45 m}}$}

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30 minutes. the easiest way is to use the opposite of the fraction.  divide 25 / 5= 5. now multiply by 6. 5*6= 30.
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What is the equation of the line described below written in slope-iWhat is the equation of the line described below written in s
horsena [70]

The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

<h3>Equation of a line</h3>

A line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;

y - y1 = -1/m(x-x1)

where

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Given the following

Point = (4, -1)

Line: 2x-y - 7 = 0


Determine the slope

-y = -2x + 7

y= 2x - 7

Slope = 2

Substitute

y+1 = -1/2(x -4)

Write in slope-intercept form

2(y + 1) = -(x - 4)

2y+2 = -x + 4

2y = -x + 2

y = -1/2 + 1

Hence the equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

Learn more on equation of a line here: brainly.com/question/13763238

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4 0
2 years ago
Linear System Word Problem - Animals
Margaret [11]

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4 0
3 years ago
Two complex numbers are given byz1= 3 +j4 andz2= 2 +j3. Determine in both polar andCartesian forms
Marat540 [252]

Answer:

Cartesian

z₁= 3 +4*j

z₂= 2 +3*j

Polar

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

Step-by-step explanation:

for the complex numbers z the cartesian form of is

z= x + y*j

then

1) z₁= 3 +4*j (cartesian form)

2) z₂= 2 +3*j (cartesian form)

the polar form is

z= r* e^jθ

where

r= √(x²+y²) → r₁ = √(3²+4²) = 5 ,  r₂ = √(2²+3²) = √13

and

θ = tan⁻¹ (y/x)  → θ₁  = tan⁻¹ (4/3)= 0.927 rad , θ₂  = tan⁻¹ (3/2)= 0.982 rad

then

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

3 0
3 years ago
Help me <br>Help me <br>Please​
Leno4ka [110]

Answer:

y = 1/2x + -3

Step-by-step explanation:

7 0
2 years ago
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