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3 years ago

Solve for d 1=d-2 d=

Mathematics

2 answers:

scZoUnD [109]3 years ago

8 0

1=d-2
Add 2 to each side:
3=d
This can also be written as:
d=3

Hope this helps :)

Natalka [10]3 years ago

6 0

D=3

If you substitute 3 in for d it makes this statement true.

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If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 3 and passes through point (2, 5).

Ugo [173]

Part A: The equation of the ship's path is $y=3x-1$

Part B: The two ships sails perpendicular to each other.

Explanation:

Part A: It is given that $m=3$ and point (2, 5)

Substituting these in the slope intercept form, we have,

$y-y_{1}=m\left(x-x_{1}\right)$

$\begin{aligned}y-5 &=3(x-2) \\y-5 &=3 x-6 \\y &=3 x-1\end{aligned}$

Thus, the equation of the ship's path in slope intercept form is $y=3x-1$

Part B: The equation of the second ship is $x+3 y-6=0$

Let us bring the equation in the form of slope intercept form.

$\begin{aligned}3 y &=-x+6 \\y &=-\frac{1}{3} x+2\end{aligned}$

Thus, from the above equation the slope is $m=-\frac{1}{3}$

To determine the two ships sailing perpendicular to each other, we have

$m_{1} \times m_{2}=-1$

where $m_{1}=3$ and $m_{2}=-\frac{1}{3}$

$\begin{aligned}3 \times-\frac{1}{3} &=-1 \\-1 &=-1\end{aligned}$

Since, both sides of the equation are equal, these two ships sails perpendicular to each other.

3 0

3 years ago

Help me plsx i really need it

Novosadov [1.4K]

D=3t/d hope this helps

3 0

3 years ago

Stells [14]

Answer:

$x = 34.8^\circ$

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To do this, we simply apply sin formula which is:

$sin(\theta) = \frac{Opposite}{Hypotenuse}$

In this case, it is:

$sin(x) = \frac{8}{14}$

$sin(x) =0.5714$

Take arcsin of both sides

$x = sin^{-1}(0.5714)$

$x = 34.84791$

$x = 34.8^\circ$ --- approximated

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