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BartSMP [9]
3 years ago
7

What are the slope and the y-intercept of the linear function that is represented by the graph?

Mathematics
1 answer:
BabaBlast [244]3 years ago
7 0
The slope is 3, and the y-intercept is 9
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Solve the equation 3x + 6y = 18 for x.
Elena-2011 [213]

3x + 6y = 18    -6y

3x = 18 - 6y     Divide by 3

3x/3=18/3-6y/3  Simplify

x=6-2y

Now we check by plugging in the value of x.

3(6-2y)+6y=18 simplify

18-6y+6y=18    simplify more

18=18.

NOW we know for sure that this is correct

x=6-2y

3 0
4 years ago
True or false (Picture provided)
Naya [18.7K]
<h2>Hello!</h2>

The answer is: True.

<h2>Why?</h2>

A counterexample is a way that we can prove that something is not true about a mathematical equation or expression, it's also considered as an exception to a rule.

So:

sec^{2}x-1=\frac{cosx}{cscx}\\\\tg^{2}x=\frac{cosx}{\frac{1}{sinx}}\\\\\frac{1-cos2x}{1+cos2x}=cosxsinx

Then, evaluating we have:

\frac{1-cos(2*45)}{1+cos(2*45)}=cos(45)*sin(45)\\\\\frac{1-0}{1+0}=\frac{\sqrt{2} }{2}*\frac{\sqrt{2}}{2}\\\\1=\frac{(\sqrt{2})^{2} }{4}\\\\1=\frac{2}{4}\\\\1=\frac{1}{2}

Hence, we can see that the equation is not fulfilled, so, 45° is a counterexample for sec^{2}x-1=\frac{cosx}{cscx} and the answer is true.

Have a nice day!

3 0
4 years ago
What percent of 43.75 is 70
murzikaleks [220]
62.5%
What I did was divided 43.75 by 70 to get 0.625.
Then I moved the decimal over two places to the right to get 62.5. 
7 0
3 years ago
A radio station is having a contest. There is a vacation package worth $15,000. Three prizes are gift cards to a coffee shop wor
katovenus [111]
1 vacation package
3 gift cards
5 tutoring prizes
----------------------add
for a total of 9 prized all together

the odds of winning vacation package is 1/9

8 0
3 years ago
The volume of a cylinder is 12,566.4 cm3. The height of the cylinder is 8 cm.
scoundrel [369]
Using the formulas here: http://www.1728.org/diamform.htm

A)  Volume   =   <span>π <span>• r² • height
radius^2 = Volume / (PI*height)
</span></span><span>radius^2 = 12,566.4 / (PI * 8)
</span>radius^2 =  <span> <span> <span> 500.0011692175 </span> </span> </span>
radius = <span> <span> <span> 22.3607059195 </span> </span> </span>
radius (rounded) = 22.4 cm

B) Area of base = PI * radius^2
Area of base = 3.14159265 * 500
Area of base = <span> <span> <span> 1,570.7963267949 </span>
</span></span><span><span>Area of base (rounded) = </span> 1,570.8 square cm
</span> 
C) <span><span>lateral area = </span>2 • </span><span>π • r • height </span>
<span>lateral area = 2 • </span><span>π • 22.4 * 8
</span>lateral area = <span> <span> <span> 1,125.9468070466 </span> </span> </span>
lateral area = 1,125.9 <span>square cm

D) Total Surface Area = </span><span>(2 • <span>π <span>• r²) + (2 • <span>π • r • height)</span></span></span></span>
Total Surface Area = <span><span>2 * (top AND bottom area which is the Part B answer times 2) + (the lateral area which is the Part C answer)
</span>
Total Surface Area = </span>( 2 * 1,570.8 ) + (1,125.9)
<span>Total Surface Area = 3,141.6 + 1,125.9
</span><span>Total Surface Area = </span> <span> <span> <span> 4,267.5 </span> </span> </span> square cm





3 0
4 years ago
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