3 years ago

If 5x - 17 = -x + 7, then x =

Mathematics

1 answer:

Kipish [7]3 years ago

5 0

5x-17=-x+7
5x+x=7+17
6x=24
x=4

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2 years ago

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.

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3 years ago

The championship record for baseball in a certain year was 52 games won, 14 lost. What percent of the games were won?

marshall27 [118]

73.0769230769% of the games were won

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3 years ago

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The difference of two numbers is 9 and the sum of the numbers is 55. What are the numbers? Please show procedure.

valentina_108 [34]

X/y=9
x+y=55
x=-y+55
-y+55/y=9
-y+55=9y
-10y=-55
y=5.5
x=49.5

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3 years ago

Ms. Biediger family wants to drive 750 miles. If they drive the same distance each day for 5 days what distance d, do they need

patriot [66]

5d=750
750/5=150
150(miles) x 5 (days) = 750(total miles)

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3 years ago