14) A submarine is at a depth of 550 meters below sea
level. It ascends 45 meters. What is the current depth of
the submarine?

Answer:

32.5cm

Step-by-step explanation:

Using the formula A=h_b*b/2

We get 5*13/2=32.5

Answer:

-7 × (-6)

Step-by-step explanation:

7 × (-6) = -42

-6 × 7 = -42

-7 × (-6) = 42

-7 × 6 = -42

Answer:

[tex] - 7 + ( - 6) = 42[/tex]

I hope I helped you^_^

Answer:

m<DBC = 109

Step-by-step explanation:

8x-27=6x+7

8x=6x+34

2x=34

x=17

8(17)-27= 109

Answer: 109

Step-by-step explanation:

i'm not entirely sure of this answer as its been a while since ive done problems like this, however, i think the steps to solve are setting (8x-27) equal to (6x+7). Once you do that, you can solve for x. Substitute x into angle DBC to find the answer.

Answer:

U are doing right but don't move ur compass when u are doing the line (i mean opposite line)otherwise ur line at not bisect

    To solve this problem form the system of equations as per statements given in the question then get the answer by solving them.

    Number of bushes in garden one were 55 and in second garden 11 originally.

   Let the number of raspberry bushes in one garden = x

And the number of raspberry bushes in second garden = y

So the equation for the given statement will be,

x = 5y -------(1)

Therefore, equation for this statement will be,

(x - 22) = (y + 22)

x - y = 22 + 22

x - y = 44 ------(2)

Substitute the value of x from equation (1) to equation (2)

5y - y = 44

4y = 44

y = 11

Substitute the value of 'y' in equation (1),

x = 5(11)

x = 55

                   Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.

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https://brainly.com/question/12422372

let a = 4

c = 16

: . b^2= ac

: . = 4 × 16

: . b^2 =

64

: . b = √64

: . b = 8

: . the mean proportional is 8.

Answer:

Step-by-step explanation:

Answer:

- [tex]\frac{12}{20}[/tex]

Step-by-step explanation:

To obtain a denominator of 20 requires the numerator and denominator to be multiplied by 4 , that is

- [tex]\frac{3}{5}[/tex] = - [tex]\frac{3(4)}{5(4)}[/tex] = - [tex]\frac{12}{20}[/tex]

Answer:

-4.75

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1)

So applying the formula

(-29-9)/(15-7)

= -38/8 = -4.75

[tex]\small\tt\red{Question : 2x + 3(5x - 7) = 47 } \\ \\ \small\tt\orange{solution : - } \\ \\ \small\tt\blue{2x + 3(15x - 7) = 47} \\ \\ \small\tt\blue{2x + 15 - 21 = 47} \\ \\ \small\tt\blue{17 = 47 + 21} \\ \\ \small\tt\blue{17x = 68} \\ \\\small\tt\blue{x = \cancel \frac{68}{17} } \\ \\\\\small\tt\green{\boxed{x = 4 \: \: is \: your \: answer}} \\ \\ \\\small\tt\pink{\boxed{\boxed{hope \: it \: help \: you \: dear}}}[/tex]

Answer:

-2 sqrt (2) /3

Step-by-step explanation:

sin = -1/3 its in the 3rd quadrant so sin is negative cos is negative

sin^2 O + cos ^2 O = 1

1 - (1/9) = cos^2 O

[tex] \cos( \alpha ) = \frac{ - 2 \sqrt{2} }{3} [/tex]

Q) 5 × (2/6) = ?

→ 5 × (2/6)

→ 10/6

→ 5/3 {final answer}

Answer:

Step-by-step explanation:

(1,8) (-1,-2)

Slope: (-2-8)/(-1-1) = -10/-2 = 5

y -8 = 5 (x - 1)

y - 8 = 5x - 5

y = 5x +3

Answer:

ans2

Step-by-step explanation:

10x-4-2x=34

8x=38

x=4.7..

Answer:

x = 5

Step-by-step explanation:

10x - 4 -2x -2 = 34

8x = 40

x = 5

Answer:

q = 3.5

Step-by-step explanation:

Start by distributing the 5

-15 = 15q - 50 - 5q

Combine like terms

-15 = 10q - 50

Add 50 to both sides

35 = 10q

Divide by 10 to isolate q

35/10 = q

q = 3.5

Answer:

q=3.5 or 4

Step-by-step explanation:

-15=5(3q-10)-5q

-5=15q-50-5q

-15+50=15q-5q

35=10q

Divide both sides by 10.

35÷10=10q÷10

3.5=q

Therefore,q= 3.5

Round up=4

.

Answer:

y = 2x - 8    OR     4 - 2x = -4 - y

Step-by-step explanation:

Use the point-slope form m(x₁-x₂) = (y₁-y₂); m means slope

plug in your numbers:

2(2-x₂) = (-4-y₂)

4 - 2x = -4 - y

or to put it into Y=mx + b:

y = 2x + 8

Answer: -4

Step-by-step explanation:

Start with -6, since there is nothing to solve in the parenthesis.

Subtract -2 from -6, which will get you -4.

Answer:

x=15/2

Hope it helps :)

Answer:

x = 7.5

Step-by-step explanation:

4 = 2/3 (2x - 9)

4 = 4/3x - 6

4 + 6 = 4/3x - 6 + 6

10 = 4/3x

10 x 3/4 = x

x = 7.5

Step-by-step explanation:

The area of any 2-d quadrilateral is equal to the base of the shape times the height, though we can just sub in length and width here. The key bits of information here is the aspect ratio (4:3) and the given area (300 in^2).

So far this gives us L∗W=300in2

Now, the aspect ratio given implies for every 4 inches in length, there will be 3 inches in width. This allows us to factor out a 4 and a 3 from the Length and Width respectively and give them the same constant variable, like so:

4x∗3x=300in2

Now, some might be tempted to go ahead with 12x here, but let’s expand the left side out to see what’s really going on:

4∗x∗3∗x=300in2

From here, let’s resolve like terms Our constants will multiply together and give us 12, and x * x of course gives us x^2 to give us the following:

12x2=300in2

From here, simply divide through by 12 to isolate x on one side,x2=25

And finally take the square root of both sides to work out what your common factor is,

x=5

Now that we have out common factor, let’s plug it back into our original formula to find our Length and Width, like so.

(4∗5)in∗(3∗5)in=300in2

20in∗15in=300in2

Therefore, the Length of our rectangle is 20in, and the Width of our rectangle is 15in

Answer:

locks that raise or lower the boat. Traveling East a boat would have to be lowered 12' at Amsterdam, 11' at Trives Hill, and 8' at Randall. By how much does the elevation of the boat change between Amsterdam and Randall

Answer:

-(-4P-3) =

4P + 3

Step-by-step explanation:

Answer:

5p - r +3

Step-by-step explanation:

Question shows - (r-3-5p)

- r - - 3 - - 5 p   we can simplify and separate and instruct each value then add your brackets.

- r - ( -  3) - (- 5)

- r + 3 - ( - 5p) and see that the - - 5p  =  + 5p

-r + 3 + 5p  then rearrange and keep format.

5p -r + 3

(g + 4) - 3g = 1 + g

or, g + 4 - 3g = 1 + g

or, -2g + 4 = 1 + g

or, -2g - g = 1 - 4

or, -3g = -3

or, g = -3/-3

or, g = 1

The value of g is 1.

You're letting x = 0.325325325…, which means

1000x = 325.325325325…   (or 325.325, but pretend the underline is actually an overline)

Then the next box you'd fill in with 0.325325325… (or 0.325).

Subtracting these, you have

1000x - x = 325.325325325… - 0.325325325…

999x = 325

Finally, solving for x gives

x = 325/999

Answer:

Step-by-step explanation:

since AB and BC are perpendicular so AB.BC=0, (scalar product)

AB=(-4, -6), and BC=(xc+2, yc-8)

AB.BC= -4x-8-6y+48 =0

so the equation of BC is 2x+3y-20=0

C is on the line BC, so 2xc+3yc-20=0, but yc=0, so xc=20/2=10

AB and CD are parallel, so det(AB, CD)=0

AB and AD are perpendicular so AB.AD=0

AB=(-4, -6) and CD =(x-10, y), AD= (x-2, y-14)

det(AB, CD)=0

             x-10-y = 0 equivalent to  x-y = -10

AB.AD=0

 -4x+8-6y+84=0  equivalent to   2x+3y=44

let's solve

x-y = -10

2x+3y=44

-5y = -64, y = 64/5, x= -10+64/5=14/5

finally  D(14/5, 64/5)

Answer:

x=0 , x = 1/2

Step-by-step explanation:

(4x-1)=1 —> 4x-1=1—> 4x=1+1—> 4x=2 —> x=2/4 —> x= 1/2

-(4x-1)=1—>-4x+1=1—> 4x= 1-1 —> x=0

Hello there!

We are given the equation:

[tex] \displaystyle \large{ |4x - 1| = 1}[/tex]

Definition/Property

[tex] \displaystyle \large{ |a| = \sqrt{ {a}^{2} } } \\ \displaystyle \large{ |a| = b \longrightarrow a = \pm b} \\ \displaystyle \large{ |a| = \begin{cases} a \: \: (x \geqslant 0) \\ - a \: \: (a < 0) \end{cases}}[/tex]

First, cancel the absolute value sign and write plus-minus beside 1.

[tex] \displaystyle \large{ |4x - 1| = 1} \\ \displaystyle \large{ 4x - 1 = \pm 1} \\ [/tex]

Break in two cases.

[tex] \displaystyle \large{ 4x - 1 = \begin{cases} 1 \\ - 1 \end{cases}} \\ \displaystyle \large{ 4x = \begin{cases} 1 + 1 \\ - 1 + 1 \end{cases}} \\ \displaystyle \large{ 4x = \begin{cases} 2 \\ 0 \end{cases}} \\ \displaystyle \large{ x = \begin{cases} \frac{2}{4} \\ \frac{0}{4} \end{cases}}[/tex]

Therefore, x = 0 or 1/2

Let me know if you have any questions!

Topic: Absolute Value Function - Equations