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Dvinal [7]
3 years ago
12

Find the equation, in standard form, of the linebpasing through the points (5,1) and (-2,3).

Mathematics
2 answers:
svet-max [94.6K]3 years ago
6 0

Step-by-step explanation:

=(y-y1)=Y2-Y1/X2-X1(X-X1)

amm18123 years ago
6 0

Answer:

y - 1 = -2/7(x - 5)

Step-by-step explanation:

Standard form:

y - y₁ = m(x - x₁)

Find the slope:

3 - 1 / -2 - 5

2 / -7

-2/7

x₁ = 5

y₁ = 1

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12
Sidana [21]

Answer:

4

hours

i hope that helped

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the average value of f over region
SVETLANKA909090 [29]
D is a right triangle with base length 1 and height 8, so the area of D is \dfrac12(1)(8)=4.

The average value of f(x,y) over D is given by the ratio

\dfrac{\displaystyle\iint_Df(x,y)\,\mathrm dA}{\displaystyle\iint_D\mathrm dA}

The denominator is just the area of D, which we already know. The average value is then simplified to

\displaystyle\frac74\iint_Dxy\,\mathrm dA

In the x,y-plane, we can describe the region D as all points (x,y) that lie between the lines y=0 and y=8x (the lines which coincide with the triangle's base and hypotenuse, respectively), taking 0\le x\le1. So, the integral is given by, and evaluates to,

\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx
=\displaystyle56\int_{x=0}^{x=1}x^3\,\mathrm dx
=14x^4\bigg|_{x=0}^{x=1}
=14
3 0
3 years ago
How do I simplify this problem?
Norma-Jean [14]
I think you would just have to find the square roots
6 0
3 years ago
5m + 9n if m = -7 and n = 4
dusya [7]

Answer:

1

Step-by-step explanation:

5m + 9n

5(-7) + 9(4)

-35 + 36

1

8 0
3 years ago
Read 2 more answers
A coffee franchise is opening a new store. The company estimates that there is a 70% chance the store will have a profit of $50,
aivan3 [116]

Step-by-step explanation:

The expected value is the sum of each outcome times its probability.

E = (0.70)(50000) + (0.05)(0) + (0.25)(-3500)

E = 34125

The store is expected to gain $34,125.

8 0
3 years ago
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