Please help me with this homework

Mathematics

1 answer:

andriy [413]2 years ago

8 0

Answer:

wow. at this point just guess

Step-by-step explanation:

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If we are given x such that 25^x-9^y=18 and 5^x-3^y=3, compute 5^x+3^y.

leonid [27]

25 = 5*5 and 9 = 3*3, which we can exploit to write

$25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2$

so that this expression is actually a difference of squares. We can factorize this to get

$(5^x-3^y)(5^x+3^y)=18$

and given that $5^x-3^y=3$ , we divide both sides by this to get

$5^x+3^y=\dfrac{18}3=\boxed{6}$

7 0

3 years ago

2 y + 4 x = 8, Solve for y

mash [69]

Answer:

y=−2x+4

Step-by-step:

2y+4x=8

Step 1: Add -4x to both sides.

4x+2y+−4x=8+−4x

2y=−4x+8

Step 2: Divide both sides by 2.

2y /2 = −4x+8 /2

y=−2x+4

4 0

3 years ago

Read 2 more answers

G. Write the equation of the line in slope-intercept form.

Neko [114]

Answer:

y= x-2
y = 4/5 x+39/5

Step-by-step explanation:

$(3,1) and\:perpendicular \:to \: y = -x+1\\(3,1) = (x,y)\\m = -1\\In\: perpendicularism ; m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{-1} \\m_2 =1\\y = mx+c\\1 = 1(3) +c\\1=3+c\\1-3=c\\-2 =c\\Substitute \:new \:values\:into\\y =mx+c\\y = 1x -2\\y = x-2$

$(-1,7) =(x_1,y_1)\\\\5y = 4x+5\\\\Write\:in\:y=mx+c\:form\\\frac{5y}{5} = \frac{4}{5} x + \frac{5}{5} \\y = \frac{4}{5} x +1\\m = \frac{4}{5} \\\\y -y_1=m(x-x_1)\\y-7=\frac{4}{5} (x -(-1)\\y -7 = 4/5(x+1)\\y -7 = 4/5x +4/5\\\\y = \frac{4}{5} x+\frac{4}{5} +7\\\\y = \frac{4}{5} x +39/5$