All categories

3 years ago

The answer is p = -2/3 and q= -2

Mathematics

1 answer:

igomit [66]3 years ago

6 0

$y=\dfrac{p}{q+x}\\\\\dfrac{1}{y}=\dfrac{1}{\frac{p}{q+x}}=\dfrac{q+x}{p}$

We have x and y intercept:

(2, 0) and (0, 3).

Substitute the coordinates of points to the equation:

$(2,\ 0)\\\\0=\dfrac{q+2}{p}\to q+2=0\to q=-2\\\\(0,\ 3)\\3=\dfrac{q+0}{p}\to3p=q\to3p=-2\to p=-\dfrac{2}{3}$

You might be interested in

∫c x sin y ds, C is the line segment from (0, 1) to (3, 5)

Mnenie [13.5K]

Parameterize the line segment $C$ by

$\mathbf r(t)=\langle x(t),y(t)\rangle=(1-t)\langle0,1\rangle+t\langle3,5\rangle=\langle3t,1+4t\rangle$

where $t\in[0,1]$ . Then

$\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt$
$\mathrm ds=\|\langle3,4\rangle\|\,\mathrm dt$
$\mathrm ds=5\,\mathrm dt$

So the integral is

$\displaystyle\int_Cx\sin y\,\mathrm ds=5\int_0^1x(t)\sin y(t)\,\mathrm dt$
$=\displaystyle5\int_0^13t\sin(1+4t)\,\mathrm dt$
$=\dfrac{15}{16}(\sin5-\sin-4\cos5)\approx-2.7516$

3 0

3 years ago

3(x+6)-2=28 to 3(x+6)=30 associative commutative or distributive

tekilochka [14]

Answer:

associative

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

In ABC, A = 4x, B = 3x + 1, C = 7x + 11. List the sides of ABC in order from shortest to longest.

BlackZzzverrR [31]

Sum of all angles of a triangle is equal to 180°. Therefore,

A + B + C = 180

Given that, A = 4x, B = 3x + 1, C = 7x + 11.

Hence, we can set up an equation as following:

4x + 3x + 1 + 7x + 11 = 180

14x + 12 = 180 Combine the like terms.

14x + 12 -12 = 180 - 12 Subtract 12 from each sides.

14x = 168

$\frac{14x}{14} =\frac{168}{14}$ Divide each sides by 14.

So, x= 12.

Now by plug in x=12 in the given expressions of A, B and C we can get the measure of eah angles of the triangle. Therefore,

A = 4x = 4(12) = 48

B= 3x + 1= 3(12) + 1 = 36 + 1 = 37

C= 7x + 11 = 7(12) + 11 = 84 + 11 =95

From the above result we can see that C is the largest angle and B is the smallest angle.

There is a relationship of a triangle which state that the largest side is opposite side of the largest angle and similarly smallest side is opposite side of the smallest angle.

Here AB is the opposite side of the largest angle C. So, AB is the largest side.

Similarly AC is the smallest side.

So, the order from shortest to longest is B: AC, BC, AB

7 0

4 years ago

What is 3 In 3 - In 9 expressed as a single natural logarthm? in 3 In 6 In 18 In 27

topjm [15]

Step-by-step explanation:

$3 \: In \: 3 - In \: 9 \\ = 3 \: In \: 3 - In \: {3}^{2} \\ = 3 \: In \: 3 - 2In \: {3} \\ = (3 - 2)In \: 3 \\ = In \: 3 \\$

Thus first option is the correct answer.

8 0

3 years ago

Please help sorry if it’s a little blurry! I’ll mark brainliest if you tell me why you got that answer.

In-s [12.5K]

Answer:

the answer is c

Step-by-step explanation:

Since jane weighs 126 and is gaining 3 pounds per month that would make the part of the equation that is 126+3m and since Cynthia weighs 134 and is gaining 2 pounds every month that is what makes the 134+2m part of the equation. And since the equation is 134+2m=126+3m then the goal is to find how many months it would take for their weights' to be equal. Sorry that my explaining skills are terrible hopefully I helped a little.

3 0

3 years ago