All categories

1 year ago

What is the equation of the line that passes through the point (-4,2) and has a slope of 1/4

Mathematics

1 answer:

zubka84 [21]1 year ago

8 0

Step-by-step explanation:

Equation of line is y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.

y-2 = 1/4*(x-(-4))

y-2 = 1/4 * (x+4)

4*(y-2) = x+4

Equation of the line is,

x-4y = -12

You might be interested in

Cause

son4ous [18]

Answer:

B. Mecca's leaders forced Muhammad to leave the city.

6 0

2 years ago

the recipe calls for 5 lbs of apples and 2 cups of sugar. you only have 1 1/ cups of sugar. how many lbs of apples should you us

RSB [31]

5 lbs of apples x pounds of apples---------------------- = ----------------------------2 cups of sugar 4/3 cup of sugar Solve for x.

4 0

2 years ago

Answer and show all of your work.

quester [9]

Answer:

105 shifts

Step-by-step explanation:

Hourly net rate of pay = $12

1 shift = 8 hours

⇒ net pay per shift = $12 × 8 = $96

Total cost = tuition + residence + books

= $4500 + $4800 + $700

= $10,000

To calculate how many shifts Joanne needs to work, divide the total cost by the pay per shift and round it up:

Number of shifts = total cost ÷ net pay per shift

= $10,000 ÷ $96

= 104.1666666...

= 105 shifts

<u>Note</u>: we need to round up, as if Joanne works 104 shifts, she will earn $9,984 which is not quite enough to pay for tuition, residence and books.

3 0

1 year ago

Read 2 more answers

Consider f and c below. f(x, y) = x2 i + y2 j c is the arc of the parabola y = 2x2 from (−1, 2) to (1, 2) (a) find a function f

Korvikt [17]

If there is some scalar function $f(x,y)$ such that

$\nabla f(x,y)=\mathbf f(x,y)=x^2\,\mathbf i+y^2\,\mathbf j$

then we want to find $f$ such that

$\dfrac{\partial f}{\partial x}=x^2\implies f(x,y)=\dfrac{x^3}3+g(y)$
$\dfrac{\partial f}{\partial y}=y^2=\dfrac{\mathrm dg}{\mathrm dy}\implies g(y)=\dfrac{y^3}3+C$
$\implies f(x,y)=\dfrac{x^3}3+\dfrac{y^3}3+C$

So the vector field $\mathbf f(x,y)$ is conservative, which means the fundamental theorem applies; the line integral of $\mathbf f$ along any path $\mathcal C$ parameterized by some vector-valued function $\mathbf r(t)$ over $a\le t\le b$ is given by

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=a}^{t=b}\mathbf f(\mathbf r(t))\cdot\dfrac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt=f(\mathbf r(b))-f(\mathbf r(a))$

In this case,

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(1,2)-f(-1,2)=\dfrac23$

5 0

2 years ago

Divide and round to the nearest hundredths place.<br> 4.05 ÷ 0.07

Vesna [10]

57.857143 is the answer.

5 0

2 years ago

Read 2 more answers