All categories

3 years ago

What is the equation of a line that passes through the points (3, 6) and (8, 4) in slope intercept form?

Mathematics

1 answer:

MrMuchimi3 years ago

6 0

Answer:

$y=-\frac{2}{5}x +8.4$

Step-by-step explanation:

Gradient

$m =\frac{y-y1}{x-x1}$

$m = \frac{6-4}{3-8}$

$m=-\frac{2}{5}$

Equation of a line

$(y-y1)=m(x-x1)\\$

- Sub one set of points into equation

$(y-6)= -\frac{2}{5} (x-6)$

$y=-\frac{2}{5}x +8.4$

You might be interested in

If you placed $1,000.00 in a savings account with an interest rate of 4.5% month versus an account with 3.75% month, how much in

Setler [38]

The answer would be C. Hope this helps!

7 0

3 years ago

Given that curl F = 2yi – 2zj + 3k, find the surface integral of the normal component of curl F (not F) over (a) the open hemisp

Dimas [21]

Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.

a. The boundary of the hemisphere is the circle $x^2+y^2=9$ in the plane $z=0$ , where the curl is $\mathrm{curl}\vec F=2y\,\vec\imath+3\,\vec k$ . Green's theorem applies here, so that

$\displaystyle\iint_S\mathrm{curl}\vec F\cdot\mathrm d\vec S=\int_{\partial S}\vec F\cdot\mathrm d\vec r=3\int_{x^2+y^2=9}\mathrm d\vec r$

which means the value of the line integral is 3 times the area of the circle, or $27\pi$ .

b. The closed sphere has no boundary, so by Stokes' theorem the integral is 0.

7 0

3 years ago

Eli had $10, but he lost some of it. His mom doubled the money he had left. Eli wrote the expression 2(10 – k) to show how much

Juli2301 [7.4K]

Answer:

Equation 1

In the story it said Eli's mom doubled the money he left, that is what the two represents. 10 is the original amount he had. -k is the money he lost.

Equation 2

20 is the the result of the original 10 being multiplied. -2k, now the 2 is still the amount that the mom doubled his amount by, and the k is how much money Eli lost.

Hope this helps!!

8 0

3 years ago

Read 2 more answers

How to solve proportion using cross products,k8=14/4

luda_lava [24]

Multiply the variable k times 4 would give you 4k.
Then cross multiply 14x8 = 112

Therefore, you would have 4k = 112.
Divide 112 by 4 to get your answer!

6 0

3 years ago

68500 at 19% for 15 years what’s is the monthly payment

lubasha [3.4K]

Answer:

$1,599

Step-by-step explanation:

3 0

3 years ago