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3 years ago

If (3, -2) is a solution of the linear equation 3x – py – 7 =0, then find the value of p.

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

6 0

Answer:

-1

Step-by-step explanation:

So to solve this, it tells you that (3, -2) is a solution so you can substitute x = 3 and y = -2 into the equation which would look like this:

$3*3-p*-2-7 = 0$

Then, you solve the equation for p:

first, simplify the left side

$9 +2p-7=0\\2+2p=0$

subtract 2 from both sides

$2p=-2$

divide both sides by 2

$p=-1$

Now, you have p = -1!

hope that makes sense :D

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The parabola opens to the right. The focus is given as

Gemiola [76]

Answer:

Step-by-step explanation:

We have that the focus is at (p,0) and that the directrix is x=-p. Take the point (-p,0) of the directrix. We know that the vertex of the parabola is at the middle point ot the line segment that joins the points (p,0) and (-p,0). To get the middle piont, we take the average coordinate by coordinate. That is, the middle point is $(\frac{-p+p}{2}, \frac{0+0}{2}) = (0,0)$ . The general formula of a parabola of vertex (h,k) that opens to the right or to the left is given by

$(y-k)^2 = 4p(x-h)$

Where |p| is the distance from the focus to the vertex. If the parabola opens to the right, then p>0 and p<0 otherwise. In our case, h =0=k, so we get that

$y^2 = 4px$

3 0

4 years ago

Find the volume of the rectangular prism. 9 m 3 m 12 3 m 7 m

tia_tia [17]

Answer:

$189 {m}^{3}$

Step-by-step explanation:

$9 \times 3 \times 7 \\ = 189 {m}^{3}$

$3 \times 9 \times 7 \\ = 189 {m}^{3}$

6 0

3 years ago

0.6(x+2)=0.55(2x+3)

Ivenika [448]

Youd take two times nine and get 18 so it would be 18.55

8 0

3 years ago

Which gives the correct values for points A, B, C, and D? PLEASE HELP ASAP!

givi [52]

Hope this helps!

A is-2/5

B is -1/5

C is -4/5

D is -3/5

7 0

3 years ago

Read 2 more answers

Solve by using substitution. State the solution as an ordered pair. 5x-y=1 -10x+2y=-2

Anni [7]

Answer:

The solution to the system of equations is x=1/5 y= 0

Step-by-step explanation:

solving this system of equation using substitution method

5x-y=1 ….. equation (1)

-10x + 2y =-2 ….. equation (2)

Solving for value of x from equation 2

-10x =-2-2y

so x= -2-2y/-10 = - 2(1+y)/-10=

so x = 1+y/5......... equation 3

The second equation is solved for x, so we can substitute the expression 1+y/5 in for x in the first equation (1)

-10(1+y)/5+2y=-2

-2(1+y) + 2y = -2

-2-2y= -2

-2y= -2+2

y=0

Putting value of y in equation 3

x = 1+y/5.

x= 1+ 0/5 = 1/5

The solution to the system of equations is x=1/5 y= 0

We can check our work by plugging these numbers back into the original equations. Let's try 5x-y=1

5(1/5)-0=1

1 -0= 1

1=1

Yes, our solution checks out.

6 0

3 years ago