Below are two parallel lines with a third line intersecting them 149

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

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:

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: 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.

k = -2

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

x = 4 and y = 9 and z = 7

x(y + z - 32) = 4 · (9 + 7 - 32) =

= 4 · (16 - 32) = 4 · (-16) = -64

Answer:

g(x)=1/3x +7

Step-by-step explanation:

replace where there is g(x) with any number in the grid of box below g(x) ... and replace where there is x in the equation with the same alternate number you picked. so if you picked 8 as g(x) then pick 3 as your x.

substitute these numbers in each equation and after solving if the left side is equal to the right side then that's the equation needed.

g(x) = 1/3x + 7

8= 1/3(3) +7

8=1+7

8=8.

hence, option A is correct.

please mark this answer as brainlist

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:

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:

too big for me

Step-by-step explanation:

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

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]

[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]

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:

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:

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!

Answer:

x= -2 is the line of reflection

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]

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:

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

Step-by-step explanation:

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

Chow,...!

[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:

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