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UkoKoshka [18]
3 years ago
8

One thing you learned about slopes

Mathematics
2 answers:
Luden [163]3 years ago
6 0

Answer:

That if 2 coordinate points are given we can use the formula of; \frac{y_2 - y_1}{x_2 - x_1} to find the slope passing through those points

Hope this helps!

AleksandrR [38]3 years ago
5 0

Answer:

one thing that I learned about slope is the rise over run and y2-y1 over x2-x1

Step-by-step explanation:

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What is the y-intercept of the line perpendicular to the line y = 3/4x + 3 that includes the point (-3, -3)
kipiarov [429]
A perpendicular line has an opposite reciprocal slope. This means that the new line will have a slope of -4/3x. Plug in x and y into the equation y=Mx +b where m is the slope (-4/3):
-3=(-3/4)(-3) + b
and isolate b:
b-3=(-3/4)(-3)
b=(-3/4)(-3) +3
b=9/4+3
b=21/4

The final equation is y= -4/3x + 21/4
The y intercept is (21/4).
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Sams bill at a restaurant is $12, and he leaves a 20% tip. What is the total bill including the tip
Setler79 [48]
The tip is $2.40 and the bill is$14.40
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3 years ago
The binomial 5x – 4 is a factor of 10x2 – 23x + 12. What is the other factor?
SVETLANKA909090 [29]
Method\ 1^o\\10x^2-23x+12=(5x-4)(ax+b)\\\\10x^2-23x+12=5ax^2+5bx-4ax-4b\\\\10x^2-23x+12=5ax^2+(5b-4a)x-4b\\\\therefore\\\\  \begin{array}{ccc}(1)\\(2)\\(3)\end{array}\left\{\begin{array}{ccc}5a=10\\5b-4a=-23\\-4b=12\end{array}\right\\\\(1)\ divide\ both\ sides\ by\ 5\to a=2\\(3)\ divide\ both\ sides\ by\ (-4)\to b=-3\\check\\subtitute\ the\ values\ of\ "a"\ and\ "b"\ to\ (2):\\5\cdot(-3)-4\cdot2=-15-8=-23\ /correct/\\\\Answer:\boxed{2x-3}


Method\ 2^o\\10x^2-23x+12=10x^2-8x-15x+12\\=2x\cdot5x-2x\cdot4-3\cdot5x-3\cdot(-4)\\=2x(5x-4)-3(5x-4)=(5x-4)\boxed{(2x-3)}
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3 years ago
If cosec θ - sec θ = 0, then the value of tan³ θ + 2 is:
krek1111 [17]

The value of tan³ θ + 2 = 3

Solution is in attachment !

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3 years ago
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. S
gavmur [86]

Answer:

8\:\mathrm{minutes}

Step-by-step explanation:

The volume of a cylinder is given as:

r^2\cdot\pi\cdot h

Since the diameter is 2.2, the radius is \frac{2.2}{2}=1.1.

Therefore, the volume of this cylinder is:

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Since the tank is emptied at a constant rate of 1.5\:\mathrm{ft^3\:per\:minute}, it will take

\frac{15.1976}{1.5}=7.5988=\fbox{$8\:\mathrm{minutes}$} to empty the tank.

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3 years ago
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