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3 years ago

Find the value of x. A. 3 B. 2 C. 5 D. 6

Mathematics

2 answers:

MissTica3 years ago

8 0

Answer:

$\Huge \boxed{x=5}$

Step-by-step explanation:

Apply the intersecting chord theorem.

DK × BK = AK × CK

12(4x+1) = 14(3 + 3x)

Expand brackets.

48x + 12 = 42 + 42x

Subtract 42x and 12 from both sides.

6x = 30

Divide both sides by 6.

x = 5

Temka [501]3 years ago

4 0

Answer:

Step-by-step explanation:

Given 2 chords intersecting inside a circle, then

the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord, that is

12(4x + 1) = 14(3 + 3x) ← distribute parenthesis on both sides

48x + 12 = 42 + 42x ( subtract 42x from both sides )

6x + 12 = 42 ( subtract12 from both sides )

6x = 30 ( divide both sides by 6 )

x = 5

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Francine ran 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 miles. About how far does F

Juliette [100K]

Answer:

Francine run 5.495 miles

Step-by-step explanation:

Given :

Francine ran $3\frac{1}{2}$ laps around the circular track in the school gym.

The track has a diameter of 1/2 miles.

To Find : About how far does Francine run?

Solution :

First we need to calculate the perimeter of circular track :

Perimeter of circle : $2\pi r$

Since we are given the diameter = 1/2 miles = 0.5 miles

So, Radius will be (Diameter/2) = 0.5/2 = 0.25 miles

So, The perimeter will be:

$2\pi *0.25$

$0.5\pi$

Since $\pi =3.14$

⇒ $0.5*3.14$

⇒ $1.57$

Thus the circular track is of 1.57 miles .

Since she ran $3\frac{1}{2}$ = 7/2=3.5 laps

1 lap = 1.57 miles

So, 3.5 laps = 1.57*3.5 =5.495 miles .

Hence , Francine run 5.495 miles

6 0

3 years ago

What is the growth rate for 3x-y=8x-7

nydimaria [60]

Answer:

you mean like this :))

-5x +7 = Y

Step-by-step explanation:

3x - y = 8x - 7

<=>3x - 8x = y - 7

<=>-5x = y - 7

<=>-5x + 7 = Y

8 0

3 years ago

We are interested in the dimensions of a certain rectangle. this rectangle has length twice the side of the square and width thr

Mila [183]

Area of square = s^2
Area of Rectangle = lw
l = 2s

w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.

8 0

3 years ago

Solve for x using the quadratic formula x^2-6x +9=0

Rufina [12.5K]

Answer:

3 both ways x = 3

EXPLANATION:

plug in inputs and do a little simplifying we get

x = 6 ± √(36-36) all of that over 2

So we simplify and we get 6±sqrt(0) / 2

Then we get 6/2 = 3

x-0 = x+0

thats why there is only one answer

4 0

3 years ago

Read 2 more answers

A bakery charges two different prices for desserts. The table shows the number of cupcakes and the number of cookies sold in the

andreev551 [17]

Answer:

hope this helps

Step-by-step explanation:do not need one really

8 0

3 years ago