A submarine dives below the surface, heading downward in four moves. If each move downward was 200 feet, where is the submarine after it is finished diving?

Let a and b be the two numbers. Then

a + b = -4

a b = -2

Solve the second equation for b :

b = -2/a

Substitute this into the first equation:

a - 2/a = -4

Multiply both sides by a :

a² - 2 = -4a

Move 4a to the left side:

a² + 4a - 2 = 0

Use the quadratic formula to solve for a :

a = (-4 ± √(4² - 4(-2))) / 2

a = -2 ± √6

If a = -2 + √6, then

-2 + √6 + b = -4

b = -2 - √6

In the other case, we end up with the same numbers, but a and b are swapped.

Given:

In isosceles triangle ABC, consider AB=BC and the segment BD with D a point on AC is the median to the base AC.

Perimeter of ABC is 50m and the perimeter of ABD is 40m.

To find:

The length of BD.

Solution:

In isosceles triangle ABC the segment BD with D a point on AC is the median to the base AC.

[tex]AB=BC[/tex]           ...(i)

[tex]AD=CD[/tex]

[tex]AC=2AD[/tex]         ...(ii)

Perimeter of ABC is 50m.

[tex]AB+BC+AC=50[/tex]

[tex]AB+AB+2AD=50[/tex]      [Using (i) and (ii)]

[tex]2AB+2AD=50[/tex]

[tex]2(AB+AD)=50[/tex]

Divide both sides by 2.

[tex]AB+AD=25[/tex]        ...(iii)

Now, perimeter of ABD is 40m.

[tex]AB+AD+BD=40[/tex]

[tex]25+BD=40[/tex]         [Using (iii)]

[tex]BD=40-25[/tex]

[tex]BD=15[/tex]

Therefore, the length of BD is 15m.

Answer:

a = (b - bc)/d

Answer:

ad=b-bc

a=b-bc/d or  a=b-bc

                        --------

                            d

*everything is divided by d on the other side...so b-bc is all divided by d

Answer:

c(4) = -76

Step-by-step explanation:

c(x) x=4 so plug 4 in for x

-5(4)² + (4)

Do parentheses first so... 4² = 16

-5(16) + 4

-5(16) = -80

-80+4 = -76

c(4) = -76

Answer:

6.9 ft

Step-by-step explanation:

The Pythagorean Theorem. :)

a^2 + b^2 = c^2

4^2 + b^2 = 8^2

16 + b^2 = 64

b^2 = 48

D = 6.928

<3 Enjoy,

    Dea

The length of the stake needs to be from the middle of her tent will be 6.9 feet. Then the correct option is D.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long.

Then the length of the stake needs to be from the middle of her tent will be

We have

P = 4 ft

H = 8 ft

Then the base is given by the Pythagoras theorem.

B² = H² - P²

B² = 8² - 4²

B² = 64 - 16

B² = 48

B = 6.9 ft

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

12cm

Step-by-step explanation:

You can draw a triangle with hypotenusa 13, height h and base 5 (the difference between the radius 9 and 4). Then pythagoras tells us that

13² = h² + 5²

so

h = 13² - 5² = √144 = 12

Answer:

A!

Step-by-step explanation:

Answer:

negative 1 over 27

Step-by-step explanation:

81 * negative 1 over 27 = -3

Answer:

[tex] \dfrac{1}{27} [/tex]

Step-by-step explanation:

[tex] 81^{-\frac{3}{4}} = [/tex]

[tex] = \dfrac{1}{81^{\frac{3}{4}}} [/tex]

[tex] = \dfrac{1}{(\sqrt[4]{81})^3} [/tex]

[tex] = \dfrac{1}{(3)^3} [/tex]

[tex] = \dfrac{1}{27} [/tex]

Answer:

2625

Step-by-step explanation:

Simple Interest Formula

P*R*T

1250*1.05*2=2625

Answer:

After two years, there will be a total of $1,375 paid and $125 paid in interest.

Step-by-step explanation:

Since, 5 x 2 = 10, first we should find 10% of $1,250.

1,250 x 0.10 = 125

$1,250 + $125 = $1375

Therefore, after two years, there will be a total of $1,375 paid and $125 paid in interest.

Hope this helps! :D

Answer:

it will be 1.75$

Step-by-step explanation:

56-18

38x2.25

117$ - 85.5$

31.5 / 18

Answer:

y int is 20

slope = 2

equation: y = 2x + 20

Answer:

Perimeter is 80cm

Step-by-step explanation:

A rectangle's area is calculated by multiplying the length by the width. If we are given the area of the rectangle and the length then we would simply need to solve for the width of the rectangle using the area formula we just mentioned...

A = l * w

336[tex]cm^{2}[/tex] = 12cm * w  ... divide both sides by 12cm

28cm = w

Now we can see that the width of this rectangle is 28cm. To find the perimeter we need to add all four sides together, since we know that a rectangle's opposite sides are the same then we add the length and the width twice to calculate the perimeter (P)

P = 12cm + 12cm + 28cm + 28cm

P = 80cm

Answer:

You need to show the graph.

Step-by-step explanation:

Answer:

Answer:

4000

Step-by-step explanation:

Answer:

a.2

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

28-21=7

7 to the power of two is the same as 7(7)

7(7)=49

Answer:

Step-by-Step Explanation:

Area of the base = length × breadth

= (4x + 5) (x + 3)

= 4x(x + 3) + 5(x + 3)

= 4x² + 12x + 5x + 15

= 4x² + 17x + 15

_____________________________________

Volume = length × breadth × height

8x³ + 30x² + 13x - 15 = (4x + 5)(x + 3) × h

[tex] \frac{ 8x³ + 30x² + 13x - 15 }{(4x + 5)(x + 3)} = h[/tex]

Answer:72

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

3/4 = 75%

11/16 = about 68%

Therefore, 3/4 is greater

Answer:

A Plus Plumbing

Step-by-step explanation:

60(2)+80 = 120+80 = 200 < 250

Answer:

A- plus plumbing

Step-by-step explanation:

hope this helps

Answer: C {48,65,80}

Step-by-step explanation:

In order for it to be a right triangle it would have to be {48,64,85}

Hope this helps

Answer:

u say which but don't even give us options.

Answer:

y+5=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

The linear function passing through points  (3,-5) and (5,- 1) is given by:

y = 2x+ 13.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

y = mx + b

In which the coefficients are described as follows:

• The coefficient m is the slope of the function, representing the rate of change of the function.

• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

For this problem, the two points that form the function are given as follows:

(3,-5) and (5,- 1)

The slope is given by change in y divided by change in x, hence it is given by:

m = (y₂-y₁)/ (x₂-x₁)

m = (-1+5)/(5-3)

m = 4/2

m = 2

Then:

y = 2x + b.

When x = 3, y = -5, hence we can find the intercept b of the function as follows:

3 = 2 x -5 + b

b = 3+ 10

b = 13

Hence the equation is:

y = 2x+ 13

More can be learned about linear functions :

brainly.com/question/24808124

#SPJ2

Answer:

y=-3x+8

Step-by-step explanation:

y=mx+b

(m=slope and b=y-intercept)

Answer:

Step-by-step explanation:

let’s use this equation y = mx + b

where m = slope

and b = y intercept

since slope is -3, m = -3

and since y intercept is 8, b = 8

so the equation is

y = -3x +8

Answer:

10

Step-by-step explanation:

7 + (-3) = -10

But it's |7| + |-3| which means it is the absolute value

So 10

Hope this helps :)

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Answer:

  C, D

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

__

The correct equations are the last two.

For the first two, the appropriate products are ...

  [tex]4c^4(3c^2)=4\cdot3c^{4+2}=12c^6\\\\3b^3(a^2b^4)=3a^2b^{3+4}=3a^2b^7[/tex]

Answer: In an ordinary year, if you were to count all the days in a calendar from January to December, you'd count 365 days. But approximately every four years, February has 29 days instead of 28. So, there are 366 days in the year. This is called a leap year.

Step-by-step explanation:

Given:

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).

To find:

The coordinates of point P.

Solution:

Section formula: If a point divide a line segment in m:n, then the coordinates of point are

[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get

[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]

[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]

[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]

[tex]P=\left(-1,4\right)[/tex]

Therefore, the coordinates of point P are (-1,4).