so i'm struggling with a different problem this time. 5p - 9 = 2p + 12. (keep in mind i am an 8th grader in a high school algebra 1 class so i'm pretty clueless)

P, Q, V, and K are collinear, the distance VP=214

Given :

P, Q, V, and K are collinear with V between K and P, and Q between V and K

Make a diagram using the above given information

[tex]VP = 14x + 4, \\PK = x + 630, \\VQ = 17x + 6, \\and KQ = 11x + 5[/tex]

The diagram is attached below

From the diagram we can see that ,

[tex]PK=VP+VQ+KQ\\Replace \; the \; expressions\\x+630=14x+4+17x+6+11x+5[/tex]

Solve the equation for x

[tex]x+630=14x+4+17x+6+11x+5\\x+630=14x+17x+11x+4+6+5\\combine \; like \; terms\\x+630=42x+15\\x=42x+15-630\\x=42x-615\\x-42x=-615\\-41x=-615\\divide\; by \; -41\\x=15[/tex]

so , the value of x is 15

We know that VP=14x+4

Replace 15 for x  to solve for VP

[tex]VP=14x+4\\VP=14(15)+4\\VP=214[/tex]

Learn more : brainly.com/question/17542197

k = -2

√-72k = √(-72 · (-2)) = √144 = √12² = 12

Answer:

too big for me

Step-by-step explanation:

[tex](\dfrac{1}{3})^4=\dfrac{1^4}{3^4}=\dfrac{1\cdot1\cdot1\cdot1}{3\cdot3\cdot3\cdot3}=\boxed{\frac{1}{81}}[/tex]

Answer: Yes.

Step-by-step explanation: Any number that can be converted to or written in fraction form is a rational number. And 4 and 7 are whole numbers. Also all whole numbers are rational numbers. So that basically means that 4/7 is a rational number.

erviewing you. The first step is to consider what you want. Are you trying to get into a graduate or undergraduate program? Are you trying to land a great internship? What does the person interviewing you want to see?

Then, think about your personal history and your strengths. How do those fit with the goals you just considered? Closely connecting your answer to those goals gives you a strong advantage, as you can see in these examples.

Graduate School Applicant Example

I've always loved the Victorian period in English literature. Even as a kid, Dickens captured my imagination more thoroughly than the Harry Potter stories or anything else. As an undergraduate at Northwestern University, I studied English with a concentration on Victorian fiction. Now, I hope to continue exploring this fundamentally important literary period as a graduate student.

Internship Interview Example

I'm a senior at Michigan Technological University, majoring in biomedical engineering. Ever since I was a kid, I've wanted to work in the field of prosthetics. I saw first-hand how a prosthetic limb helped give my best friend a normal teenage life, and I've always wanted to be a part of that process. I'm drawn to prosthetic design and research, which is why I'm so excited to learn more about the internship your company is offering.

Answer:

[tex]5^{-4}[/tex]

Step-by-step explanation:

-5*-5*-5*-5 = 625

Chow,...!

Answer:

0<r<4

Step-by-step explanation:

-8<8-4r<8

Subtract 8 from each side

-8-8<8-4r-8<8-8

-16<-4r<0

Divide by -4, remembering to flip the inequality

-16/-4>-4r/-4>0/-4

4>r>0

Rewriting

0<r<4

Answer:

g(5) = 5

Step-by-step explanation:

g(x) = x^2 - 4x when x = 5

~Substitute

= 5^2 - 4(5)

~Simplify

= 25 - 20

= 5

Best of Luck!

[tex]\\ \sf\longmapsto D=Ga+3h^3a[/tex]

[tex]\\ \sf\longmapsto a(G+3h^3)=D[/tex]

[tex]\\ \sf\longmapsto a(3h^3)=\dfrac{D}{G}[/tex]

[tex]\\ \sf\longmapsto a^3=\dfrac{D}{3Gh}[/tex]

[tex]\\ \sf\longmapsto a=\sqrt{\dfrac{D}{3Gh}}[/tex]

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf \: D = Ga+3 { h }^{ 3 } a[/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex] \sf \: Ga+3h^{3}a=D [/tex]

Combine all terms containing a.

[tex] \sf\left(G+3h^{3}\right)a=D [/tex]

Divide both sides by [tex]\sf\:G+3h^{3}[/tex].

[tex] \sf\frac{\left(G+3h^{3}\right)a}{G+3h^{3}}=\frac{D}{G+3h^{3}} \\ [/tex]

Dividing by [tex]\sf\:G+3h^{3} [/tex] undoes the multiplication by [tex]\sf\:G+3h^{3}[/tex].

[tex] \boxed{ \boxed{ \bf \: a=\frac{D}{G+3h^{3}} }} \\ [/tex]

x = 4 and y = 9 and z = 7

x(y + z - 32) = 4 · (9 + 7 - 32) =

= 4 · (16 - 32) = 4 · (-16) = -64

Answer:

0, 8

Step-by-step explanation:

To find out a distance of these numbers, you shall find out how far each number is, preferably you can use a number line for this.

Answer:

22.5

Step-by-step explanation:

A dilation is a non rigid transformation which shrink or stretch a figure.

If the scale factor, b>1, the figure will grow

If the scale factor is less than 1, the figure will shrink

The scale factor is 1.5 so the figure will grow.

A dilation about a scale factor makes both figures porportional assuming we know all corresponding angles are congruent. So this means we just multiply PQ by 1.5 to get P'Q'

[tex]15 \times 1.5 = 22.5[/tex]

Answer:

Explore - ??? (What are you suppose to put for that (Add comment))

Plan - First week - 53 Second week - 62

Solve - 53 + 62 = 115

Examine - (Use a graph to see the rise?)

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

[tex]\dfrac{1}{5}*(2x + 92) = 5x[/tex]

Multiply the equation by 5

[tex]5* \dfrac{1}{5}*(2x +92) =5x*5\\\\ 2x + 92 = 25x[/tex]

Subtract 2x from both sides

92 = 25x - 2x

92 = 23x

Divide both sides by 23

92/23 = 23x/23

4 = x

x = 4

Answer:

Hi, There!

Press the "Y=" button to enter the function screen.

Enter the function (e.g.,

Y

=

X

2

−

4) into one of the lines. 3. Press "GRAPH." The calculator will draw the function for you.      

To find the Y-intercept of a graph that has been drawn:

Press "2nd," then "TRACE" to go to the "CALCULATE" window.

Highlight "value" and press "ENTER."

At the bottom of the screen that appears, enter "0" after "X=." The result will be the

Y

-intercept and associated

X

-coordinate.

xXxAnimexXx

Have a great day!

Answer:

Step-by-step explanation:

The temperature change in 6 days is 91 - 49 = 42 F

So the daily change is 42/6 = 7 F.

Answer:

Domain = {-1, 8}

Range = {-4, 8, -6}

Step-by-step explanation:

Domain is the set of first coordinates

Range is the set of second coordinates

Memory trick:  D before R.  x before y

Domain = set of x values

Range = set of y values

please mark this answer as brainlist

Answer:

x= -2 is the line of reflection

If you add 8x and 14x it will give you 22x

If you subtract 11-1 you have 10.

so the answer is 22x -10

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Given, K is the midpoint of JL. So, JK = KL.

________

JL = JK + KL (given that K is the midpoint of JL)

JL = (8x + 11) + (14x - 1)

________

[tex] \large \boxed{\mathfrak{Steps} \downarrow}[/tex]

[tex] \sf( 8 x + 11 ) + ( 14 x - 1 )[/tex]

Combine 8x and 14x to get 22x.

[tex] \sf \: 22x+11-1 [/tex]

Subtract 1 from 11 to get 10.

[tex] \boxed{ \boxed{ \bf22x+10 }}[/tex]

________

Also given that, JK = KL.

So, (8x + 11) = (14x - 1)

⇨ (8x + 11) = (14x - 1)

⇨ 8x + 11 = 14x - 1

⇨ 11 + 1 = 14x - 8x

⇨ 12 = 6x

⇨ x = 12 / 6

⇨ [tex] \boxed{ \boxed{ \bf \: x= 2 }}[/tex]

________

Now, value of JL will be,

JL = 22x + 10

Substitute the value of x.

JL = 22(2) + 10

JL = 44 + 10

[tex] \boxed{ \boxed{ \bf\: JL = 50 }}[/tex]

⇨ So, the value of JL will be 50 units.

Answer:

8x³ - 2x² + 3x

Step-by-step explanation:

Given

(3x³ - 4x² + 6x + (- 3x + 2x² + 5x³) ← remove parenthesis

= 3x³ - 4x² + 6x - 3x + 2x² + 5x³ ← collect like terms

= 8x³ - 2x² + 3x

Answer:

A. No solution.

Step-by-step explanation:

Absolute values can never be negative. So there is no value of "x" that can make the absolute value negative.

Answer:

x= -1/3

Step-by-step explanation:

You take out 2 by multiplying 2/1 in both sides

then u have 4-3x=5

You subtract 4 from 5 and you have

-3x=1

divide and the answer is x= -1/3

Given fractional expression:

{(4-3x)/2} = 5

→ 4-3x = (5)2

→ 4-3x = 10

→ -3x = 10-4

→ -3x = 6

Therefore, x = -(6/3) = -2

Step-by-step explanation:

[tex](x - 2)(x + 2) \\ x(x + 2) - 2(x + 2) \\ x { }^{2} + 2x - 2(x + 2) \\ x {}^{2} + 2 x - 2x - 4 \\ x {}^{2} - 4[/tex]