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Amiraneli [1.4K]
2 years ago
5

What is the slope of the line whose equation is -3x y=12?

Mathematics
1 answer:
stepan [7]2 years ago
8 0
-3x+y=12
y=3x + 12
slope=3
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A\b=c for bsolve for b and show your steps.show all steps.
Rufina [12.5K]
A/b=c
times both sides by b
A=bc
divide both sides by c
A/c=b
b=A/c
6 0
3 years ago
Find the point P on the line y=2x that is closest to the point (20,0) .what is the least distance between pans (20,0)?
Vsevolod [243]
The closest point on a line, to another point, will be a point that's on a normal of that line, or a line that is perpendicular to it, notice picture below

so, y = 2x, has a slope of 2, a perpendicular line to it, will have a slope of negative reciprocal that, or \bf 2\qquad negative\implies -2\qquad reciprocal\implies \cfrac{1}{-2}\implies -\cfrac{1}{2}

so, we know that line passes through the point 20,0, and has a slope of -1/2

if we plug that in the point-slope form, we get \bf y-0=-\cfrac{1}{2}(x-20)\implies y=-\cfrac{1}{2}x+10

now, the point that's on 2x and is also on that perpendicular line, is the closest to 20,0 from 2x, thus, is where both graphs intersect, as you can see in the graph

thus  \bf 2x=-\cfrac{1}{2}x+10  solve for "x'

------------------------------------------------------------

not sure on the 2nd part, but sounds like, what's the distance from that point to 20,0, well, if that's the case, just use the distance equation

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ \square }}\quad ,&{{ \square }})\quad 
%  (c,d)
&({{ \square }}\quad ,&{{ \square }})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}


6 0
3 years ago
Jamie has saved $42 of her allowance money to buy books. If she buys 5 books at d dollars per book, she will have
Musya8 [376]

Answer:

She has 24,50$ left

Step-by-step explanation:

3,50*5 = 17,50

42$ - 17,50$ = 24,50$

4 0
2 years ago
A 6 foot tall football player casts a 16 inch shadow at the same time the stadium bleachers cast a 6 foot shadow how tall are th
Tom [10]
I believe its 27.75. I wouldn't take my word for it though.
7 0
3 years ago
Read 2 more answers
Ava and Sara both started getting an allowance 12 weeks ago, and they haven't spent a cent! They get $1 for each year of their a
4vir4ik [10]

Answer:

Ava is 10 years old

Step-by-step explanation:

Sara is 8

Sara=$8 per week for 12 weeks

$8×12 weeks=$96

Ava has $24 more than Sara

x*12=96$+$24

12x=120

x=120/12

x=10

Ava's age is 10

6 0
3 years ago
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