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prohojiy [21]
1 year ago
6

Slope =4, passing through (7,2), the point-slope form equation is y-2=4(x-7). What is the function notation?

Mathematics
1 answer:
Crazy boy [7]1 year ago
7 0

we have the equation

y-2=4(x-7)

Convert to slope-intercept form

y=mx+b

Isolate the variable y

y-2=4x-28

y=4x-28+2

y=4x-26 -------> equation in slope-intercept form

Convert to function notation

<h2>f(x)=4x-26</h2>
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∠WXY and ∠ZXY are adjacent angles. What equation must always be TRUE? m∠WXY=m∠ZXY
Hitman42 [59]

Answer:

m∠WXY+m∠ZXY=m∠WXZ

Step-by-step explanation:

You don't know the angles to be congruent (equal measures), complementary (measures add to 90 deg), or supplementary (measures add to 180 deg); all you know is that they are adjacent, so the sum of the measures of the two smaller angles equals the measure of the larger outer angle.

Answer: m∠WXY+m∠ZXY=m∠WXZ

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3 years ago
Find the given limit lim(x,y)→(a,a)x4−y4x2−y2=lim(x,y)→(a,a) (x^4−y^4)/(x2−y2)= here aa is a constant. (find the limit assuming
Aliun [14]
If x\neq y, then we can write

\dfrac{x^4-y^4}{x^2-y^2}=\dfrac{(x^2-y^2)(x^2+y^2)}{x^2-y^2}=x^2+y^2

and since this is continuous for all x\neq y, the limit as (x,y)\to(a,a) will be

\displaystyle\lim_{(x,y)\to(a,a)}\frac{x^4-y^4}{x^2-y^2}=\lim_{(x,y)\to(a,a)}(x^2+y^2)=2a^2
7 0
4 years ago
you put $500 in an interest bearing bank account that pays 2% per year but has a fee of $2 per month. are you getting ahead?
sergij07 [2.7K]

Answer:

NO

Step-by-step explanation:

If the bank account has a fee of $2 per month, it means that at the end of the year you will have $500 - $2 × 12 = 476.

If it pays 2% per year, then, at the end of the year you will receive: $476×0.02 = $9.52.

If you go ahead you will lose money ($14,48) . In order to earn money, you need to put more money.

5 0
4 years ago
write the equation of the line, in standard form, that is perpendicular to y=3x-2 and passes through (-7,2)
34kurt

Answer:

x+3y=-1

Step-by-step explanation:

y=3x-2 so m=3 old slope

the new slope must be -1/3 (opposite reciprocal of the old slope).

y-y0=m*(x-x0)

y-2=-1/3*(x-(-7))

y-2=-1/3x-1/3*7

y-2=-1/3x-7/3

3y-6=-x-7

The standard form for linear equations in two variables is Ax+By=C.

x+3y=6-7

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3 years ago
Help please stat! Brainlist!
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Step-by-step explanation:

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