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lilavasa [31]
3 years ago
13

I need help with this problem. How do I do it?

Mathematics
1 answer:
Anna11 [10]3 years ago
8 0

Answer:

20

Step-by-step explanation:

For the area of a rectangle we use A = L* W

We know area or A = 420

and we know length or L = 21

Now we need to find the width or W

(420) = (21) * W

Divide both sides of the equation by 21 to isolate the variable.

That leaves us with:

W = 20

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What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)
Bogdan [553]

Answer:

A.

Step-by-step explanation:

If its positive then the equation will be also

6 0
3 years ago
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Determine the equation of g(x) that results from translating the function f(x)=x^2+9 upward 10 units.
Rus_ich [418]
The simple/ <span>common sense method:
</span>The typical lay out of a quadratic equation is ax^2+bx+c 
'c' represents where the line crosses the 'y' axis. 
The equation is only translated in the 'y' (upwards/downwards) direction, therefore only the 'c' component of the equation is going to change. 
A translation upwards of 10 units means that the line will cross the 'y' axis 10 places higher. 
9+10=19, 
therefore <u>c=19</u>. 
The new equation is: <u>y=x^2+19 </u>
<span>
<span>The most complicated/thorough method: 
</span></span>This is useful for when the graph is translated both along the 'y' axis and 'x' axis.
ax^2+bx+c 
a=1, b=0, c=9
Find the vertex (the highest of lowest point) of f(x). 
Use the -b/2a formula to find the 'x' coordinate of your vertex.. 
x= -0/2*1, your x coordinate is therefore 0. 
substitute your x coordinate into your equation to find your y coordinate.. 
y= 0^2+0+9
y=9. 
Your coordinates of your vertex f(x) are therefore <u>(0,9) </u>
The translation of upward 10 units means that the y coordinate of the vertex will increase by 10. The coordinates of the vertex g(x)  are therefore: 
<u>(0, 19) </u>
substitute your vertex's y coordinate into f(x) 
19=x^2+c
19=0+c
c=19
therefore <u>g(x)=x^2+19</u>

7 0
3 years ago
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PLEASE HELP!!!! 25 POINTS!!!!
Andrei [34K]

Answer:

0.9562

Step-by-step explanation:

Binomial probability is mathematically expressed as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}

Given that p=0.18, n=5 ,  is calculated as:

P(X\leq 2)=P(0)+P(1)+P(2)\\\\={5\choose 0}0.18^0(1-0.18)^5+{5\choose 1}0.18^1(1-0.18)^4+{5\choose 2}0.18^2(1-0.18)^3\\\\=0.3707+0.4069+0.1786\\\\=0.9562

Hence, the probability of no more than 2 successes in 5 trials is 0.9562

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3 years ago
Ben plays basketball 6 times every 3 weeks. At this rate how many times does he play basketball in 10 weeks ?
Dimas [21]
Ben will play 18times
4 0
2 years ago
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Is this statement always, sometimes, or never true.
cestrela7 [59]

Answer:

Never true

Step-by-step explanation:

Linear angles are adjacent angles whose sum is 180

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