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3 years ago

A line passes through the points (1, 2) and (3, 1). What is the slope of the line?

Mathematics

1 answer:

erastovalidia [21]3 years ago

8 0

M = 1 - 2 / 3 - 1
m = - 1 / 2

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Find 2(−5)(−6)−(−12)

Alisiya [41]

Answer:

Step-by-step explanation:

2*-5=-10

-10*-6=60

60-(-12)=60+12=72

3 0

2 years ago

Let w = x2 + y2 + z2, x = uv, y = u cos(v), z = u sin(v). use the chain rule to find ∂w ∂u when (u, v) = (9, 0).

jasenka [17]

By the chain rule,

$\dfrac{\partial w}{\partial u}=\dfrac{\partial w}{\partial x}\cdot\dfrac{\partial x}{\partial u}+\dfrac{\partial w}{\partial y}\cdot\dfrac{\partial y}{\partial u}+\dfrac{\partial w}{\partial z}\cdot\dfrac{\partial z}{\partial u}$
$\dfrac{\partial w}{\partial u}=2xv+2y\cos v+2z\sin v$

We also have $x(9,0)=0$ , $y(9,0)=9$ , and $z(9,0)=0$ , so at this point we get

$\dfrac{\partial w}{\partial u}(9,0)=2\cdot9\cdot\cos0=18$

7 0

3 years ago

Adam wishes to have $20 comma 000 available in 18 years to purchase a new car for his son as a gift for his high school graduat

wel

Adam should invest $15516 after 18 years.

Explanation:

Given:

Amount(18) = $20000

Rate of Interest, r = 1.41%

Time, t = 18 years

n = 365 (compounded daily)

General equation of amount that is compounded daily:

$A(t) = A_0(1 + \frac{r}{n} )^n^t$

Solving for A₀:

$A_0 = \frac{A(t)}{(1+\frac{r}{n} )^n^t}$

Substituting the values:

$A_0 = \frac{20000}{(1 + \frac{0.0141}{365})^3^6^5^X^1^8 } \\\\A_0 = \frac{20000}{1.289}\\ \\A_0 = 15516$

Therefore, Adam should invest $15516 after 18 years.

8 0

2 years ago

HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME

muminat

Answer:

p ≥ -10

Step-by-step explanation:

Divide both sides by-9:

When dividing or multiplying by a negative number, always flip the inequality sign:

-9p/-9 > = 90/-9

Cancel out the negatives:

9p/9 > = 90/-9

Simplify the fraction:

p > = 90/-9

Simplify the signs:

p > = -90/9

Find the greatest common factor of the numerator and denominator:

p >= -10 · 9/ 1 · 9

Factor out and cancel the greatest common factor:

p > = -10

6 0

2 years ago

Every student in the 6th grade at PS 500 must read exactly three of the principal's four

Vladimir [108]

Answer:

Step-by-step explanation:

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2 years ago