Question

2x+5y=10

Answer 1

determine the slope and the y-intercept

Answer 2

The standard equation of a line is y = mx+c, where m is the slope and c is the y-intercept

Making the equation in this form we get,\[y = \frac{-2}{5}\times x+2\]
Hence, slope = -2/5 and intercept = 2

Answer 3

\[y=\frac{-2x}{5}+\frac{10}{5}\]
\[y=\frac{-1}{5}x+2\]
slope= -1/5
y intercept=2

Answer 4

thank you I have a few more

Answer 5

\[15x ^{2}+29x+12\]

Answer 6

\[15x^2+29x+12=0\]
\[15x^2+20x+9x+12=0\]
\[5x(3x+4)+3(3x+4)=0\]
\[(5x+3)(3x+4)=0\]
\[x=\frac{-5}{3}\text{ or }x=\frac{-4}{3}\]

Answer 7

thank you that made it more understandable.

Answer 8

\[(a+7)^{2}+5(a+7)-6\]

Answer 9

my instructor got the answer (a+13)(a+6)

Answer 10

\[(a+7)^2+6(a+7)−(a+7)−6=0\]
\[(a+2)(a+7+6)−1(a+7+6)=0\]
\[(a+7−1)(a+7+6)=0\]
Simplify now to get the answer

Answer 11

My bad it was I used (a+2) instead of (a+7) :) Corrected it now!

Answer 12

\[\sqrt{7/48xy ^{2}}\]

Answer 13

\[\sqrt{\frac{7}{4^2\times3xy^2}}=\frac{1}{4y}\sqrt{\frac{7}{3x}}\]

Answer 14

the answer is suppose to be \[\sqrt{21x/12xy}\]

Answer 15

But I cant figure it out

Answer 16

What do you need to do with the expression? Anything that describes the question?

Answer 17

no thats it

Answer 18

Ohk, thats how you need to do it :)
\[\sqrt{\frac{7}{4^2\times3xy^2}}\]
Multiply numerator and denominator both by 3x to get
\[\sqrt{\frac{7\times3x}{4^2\times(3x)^2y^2}}=\frac{1}{12xy}\sqrt{21x}\]

Answer 19

\[2x ^{3}-6x ^{2}-4x-12\]