Can someone plz help me Solve this Equation Solve for X

Answers

Answer 1

Answer:

Answer:

x = 4

Step-by-step explanation:

If two secants are drawn to a circle from one exterior point, then the product of the exterior segment and whole segment is same. i.e 6×(6+x) = 5×(5+x+3)

=> 6x+36 = 5x + 15 +25

=> x = 40-36

=> x = 4

I hope it's the right answer.

Answer 2

Answer:

Answer:

x = 4

Step-by-step explanation:

Given 2 secants drawn to a circle from an external point, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

6(6 + x) = 5(5 + x + 3), that is

36 + 6x = 5(8 + x) = 40 + 5x ( subtract 5x from both sides )

36 + x = 40 ( subtract 36 from both sides )

x = 4

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10$ is spent on 2 big pails and 1 small one. A smail pail cosf half as much as each big one. How much is spent on a big pail? How much is speant on a small pail

Answers

Answer:

$4 is spent on a big pail and $2 is spent on a small pail.

Step-by-step explanation:

Given:

10$ is spent on 2 big pails and 1 small one.

A small pail cost half as much as each big one.

Now, to find the amount spent on a big pail and on a small pail.

Let the cost of a big pail be $x.$

And the cost of small pail be $(x)/(2) .$

As given, there are 2 big pails.

And the total money spent = $10.

According to question:

$(x+x)+(x)/(2)=10$

$2x +(x)/(2)=10$

$(4x+x)/(2) =10$

$(5x)/(2) =10$

Multiplying both sides by 2 we get:

$5x=20$

Dividing both sides by 5 we get:

$x=4.$

The cost of a big pail = $4.

So, the cost of a small pail = $(x)/(2) =(4)/(2)=\$2.$

Therefore, $4 is spent on a big pail and $2 is spent on a small pail.

Ten plus eight times a number a equals eleven times another number d minus six solve for a

Answers

Answer:

$a=(11d-16)/(8)$

Step-by-step explanation:

We have been given a word phrase. We are asked to write an equation and solve for 'a'.

Eight times the number 'a' would be $8a$ .

Ten plus eight times a number 'a' would be $10+8a$ .

Eleven times another 'd' would be $11d$ .

Eleven times another 'd' minus six would be $11d-6$ .

Equate both expression:

$10+8a=11d-6$

$10-10+8a=11d-6-10$

$8a=11d-16$

$(8a)/(8)=(11d-16)/(8)$

$a=(11d-16)/(8)$

Therefore, the value of 'a' is $(11d-16)/(8)$ .

So your equation would be 8a+10=11d-6First: you would combine like terms so normally you would take away the smaller number. So to cancel out the negative 6 you added you add positive six to the negative 6 so you would get 0 and whatever you do to one side you have to do to the other so you would do 10 + 6. Your new equation would be 8a+16=11d. Now you do -16 to both sides. So your new equation would be 8a= 11d - 16. Now you divide by 8. So your final equation would be a=11d-2.

What are the coordinates of the point on the directed line segment from (−7,−5) to (8,−10) that partitions the segment into a ratio of 3 to 2?

Answers

let's say P(−7,−5) and Q(8,−10) gets partitioned on a 3 : 2 ratio from P to Q by point R, so

$\textit{internal division of a line segment using ratios} \n\n\n P(-7,-5)\qquad Q(8,-10)\qquad \qquad \stackrel{\textit{ratio from P to Q}}{3:2} \n\n\n \cfrac{P\underline{R}}{\underline{R} Q} = \cfrac{3}{2}\implies \cfrac{P}{Q} = \cfrac{3}{2}\implies 2P=3Q\implies 2(-7,-5)=3(8,-10)$

$(\stackrel{x}{-14}~~,~~ \stackrel{y}{-10})=(\stackrel{x}{24}~~,~~ \stackrel{y}{-30}) \implies R=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-14 +24}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-10 -30}}{3+2} \right)} \n\n\n R=\left( \cfrac{ 10 }{ 5 }~~,~~\cfrac{ -40}{ 5 } \right)\implies R=(2~~,~-8)$

Erica plays 6 songs in 1/4 of an hour. How many would she play in 1 hour?

Answers

Answer:

24 songs

Step-by-step explanation:

4 × 6 = 24 songs

I hope this helps!

The area of a rectangular hall is 153 sq. m. Its width is 9m. Find its length

Answers

Answer: L = 17 m

Step-by-step explanation:

Our task is to find the length of the rectangular hall.

We know that:

The area of the hall is 153 m².
The width is 9 cm.

We need to find:

The length of the hall

Applying the formula,

$\bf{A=LW}$ , where L = length, w = width

Substitute all the values:

$\bf{153=L*9}$
$\bf{153=9L}$
$\bf{17=L}$

Therefore, L = 17.

Answer:17

Step-by-step explanation: h = 153/9

Find the TOTAL Surface Area of the square prism below.12 cm
6 cm
6 cm
6 cm
6 cm

360 cm2
216 cm2
72 cm2
288 cm2

Answers

Answer:

I believe that the answer is C: 72 cm²