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Romashka [77]
4 years ago
9

Find an equation of the line whose intercepts are twice those of the graph of 5y+2x=10.

Mathematics
2 answers:
Andrew [12]4 years ago
8 0
X intercept is where the line crosses the x axis or where y=0
y intercept is where the line crosses the y axis or where x=0


so find x and y intercept

yintercept, x=0
5y=10
y=2
yint is (0,2)

xint, y=0
2x=10
x=5
xint is (5,0)
double


yint is (0,4) and yint is (10,0)

ok, so we do
y=mx+b
m=slope
b=yint
givenyint=4

y=mx+4
when x=10, y=00 because we got (10,0)
0=10m+4
miinus 4 both sides
-4=10m
divide oth sides by 10
-2/5=m

the equation is y=-2/5x+4 or
2/5x+y=4
2x+5y=20
sertanlavr [38]4 years ago
6 0
5y+2x=10<span />y=<span><span>−25</span></span>x+2<span /><span>2</span><span>4</span><span>6</span><span>8</span><span>10</span><span>−2</span><span>−4</span><span>−6</span><span>−8</span><span>−10</span><span>2</span><span>4</span><span>6</span><span>8</span><span>10</span><span>−2</span><span>−4</span><span>−6</span><span>−8</span><span>−10</span>Let's solve for x.<span><span><span>5y</span>+<span>2x</span></span>=10</span>Step 1: Add -5y to both sides.<span><span><span><span>2x</span>+<span>5y</span></span>+<span>−<span>5y</span></span></span>=<span>10+<span>−<span>5y</span></span></span></span><span><span>2x</span>=<span><span>−<span>5y</span></span>+10</span></span>Step 2: Divide both sides by 2.<span><span><span>2x</span>2</span>=<span><span><span>−<span>5y</span></span>+10</span>2</span></span><span>x=<span><span><span><span>−5</span>2</span>y</span>+5</span></span>Answer:<span>x=<span><span><span><span>−5</span>2</span>y</span>+<span>5

</span></span></span><span><span><span>
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Step-by-step explanation:

A linear equation for V in terms of t will have the following form

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where r will be the rate at which the value of the value of product is expected to change, V is the dollar value of the product at the year t (being t=0 for 2010) and C is a constant number which we should be able to find knowing the value of V at some point in time.

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