Can someone please help I really need these points

Can Someone Please Help I Really Need These Points

Answers

Answer 1

Given:

Two chords intersect each other inside the circle.

To find:

The value of x.

Solution:

According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to  the product of two segments of second chord.

In the given circle,

[tex]AE\times CE=BE\times DE[/tex]

[tex](3x-11)\times (5x-4)=(x+2)\times (-x+17)[/tex]

[tex]15x^2-12x-55x+44=-x^2+17x-2x+34[/tex]

[tex]15x^2-67x+44+x^2-15x-34=0[/tex]

[tex]16x^2-82x+10=0[/tex]

Divide both sides by 2.

[tex]8x^2-41x+5=0[/tex]

Splitting the middle term, we get

[tex]8x^2-40x-x+5=0[/tex]

[tex]8x(x-5)-1(x-5)=0[/tex]

[tex](8x-1)(x-5)=0[/tex]

Using zero product property, we get

[tex](8x-1)=0[/tex] or [tex](x-5)=0[/tex]

[tex]x=\dfrac{1}{8}[/tex] or [tex]x=5[/tex]

For [tex]x=\dfrac{1}{8}[/tex], the side AE is negative. So, [tex]x=\dfrac{1}{8}[/tex] is not possible.

Therefore, the required solution is [tex]x=5[/tex].


Related Questions

Jo invests 20 000.
in the first year her investment grows 20%
then in the second year her investemnt loses 10% of its value.

work out the investment after 2 years?

Answers

Answer:

21600

Step-by-step explanation:

20000*1.2*.9=21600

Use numerals instead of words

Answers

Answer:

Step-by-step explanation:

Put in the 3 and 4 so it is the square root of 3^4 - -6^2

The square root of 3^4 + 6^2

The square root of 3^4 is 3^2 so

9 + 6^2

=> 9 + 36

=> 45

45 in numerals is XLV

45 in numerical terms would be XLV

The conditional relative frequency table was calculated by row using data from a survey of one station’s television programming. The survey compared the target audience with the type of show, either live or recorded, over a 24-hour time period.

A 4-column table with 3 rows titled television programming. The first column has no label with entries adult, children, total. The second column is labeled live with entries 0.625, 0.5, nearly equal to 0.583. The third column is labeled recorded with entries 0.375, 0.5, nearly equal to 0.417. The fourth column is labeled total with entries 1.0, 1.0, 1.0.

Which is the best description of the value 0.375 in the table?

Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.
Given that the program was recorded, there is a 37.5% chance that it was targeted at adults.
37.5% of the programs are targeted at adults.
37.5% of the programs are recorded.

Answers

Answer:

37.5% of the programs are targeted at adults

Step-by-step explanation:

The following figure shows the given four column table for the target audience of television programming

[tex]\begin{array}{lllc}&Television \ Programming \\& Live&Recorded&Total\\Adult&0.625&0.375&1.0\\Children&0.5&0.5&1.0\\Total&\approx 0.583& \approx 0.417&1.0\end{array}[/tex]

From the table, we have that the best description of the value 0.375 in the table is that the percentage of television program targeted at adults is 37.5%

Answer:

The answer is a “Given that the program was targeted at adults, there is a 37.5% chance that it was recorded”

Step-by-step explanation:

i did the test

A small pebble is stuck in Jim's bike tire. The wheel has a radius of 34 cm. Determine the equation of the function that expresses the height of the pebble from the ground in terms of the distance that the bike travels from the point where the pebble got stuck in the tire. How high off the ground will the pebble be after the tire has rolled 150 cm?

Answers

Answer:

distance = 68 pie x

Step-by-step explanation:

Hope this helps

Which best describes the strength of the model?
O a weak positive correlation
O a strong positive correlation
O a weak negative correlation
O a strong negative correlation

Answers

Answer:

A weak positive correlation

Step-by-step explanation:

The table of values of the women's age to shoe size is presented as follows;

Women's Age and Shoe Size

[tex]\begin{array}{ccc} Age&&Shoe \, size\\18&&7\\30&&10\\52&&6\\64&&9\end{array}[/tex]

We get;

The correlation coefficient, r, is given as follows;

[tex]r = \dfrac{\sum \left(x_i - \overline x \right ) \cdot \left(y_i - \overline y \right )}{\sqrt{ \sum \left(x_i - \overline x \right )^2 \cdot \sum \left(y_i - \overline y \right )^2}}[/tex]

From MS Excel, we have;

[tex]\sum \left(x_i - \overline x \right ) \cdot \left(y_i - \overline y \right )[/tex] = 2

[tex]\sqrt{ \sum \left(x_i - \overline x \right )^2 \cdot \sum \left(y_i - \overline y \right )^2}[/tex] = √13,000 = 10·√130

∴ r = 2/(10·√130) ≈ 0.01754

Therefore, given that the calculated correlation coefficient, r is positive and less than 0.2 (weak), we have

The correlation is a weak and positive.

Find the length of the third side. If necessary, round to the nearest tenth.
2
3

Answers

Answer:

The third side is 3.6

Step-by-step explanation:

Incomplete question;

The parameter from the complete question can be summarized as follows:

[tex]Side\ 1 =2[/tex]

[tex]Side\ 2 =3[/tex]

Required

Determine the third side (hypotenuse)

Let the third side be x;

So:

[tex]x^2 = Side\ 1^2 + Side\ 2^2[/tex]

[tex]x^2 = 2^2 + 3^2[/tex]

[tex]x^2 = 4 + 9[/tex]

[tex]x^2 = 13[/tex]

Take square roots of both sides

[tex]x = 3.6[/tex]

Natasha was thinking of a number. Natasha subtracts 9.3 from the number and gets an answer of 86.7. Form an equation with
x

Answers

Answer:

x-9.3 = 86.7

Step-by-step explanation:

3g - 4 = 17

show ur work​

Answers

Answer:

g = 7

Step-by-step explanation:

3g - 4 = 17

+ 4 + 4

3g = 21

÷3 ÷3

g = 7

Answer:

g=7

Step-by-step explanation:

First add 17+4=21 to find out how much 3g needs to equal. 3g needs to get to 21. Next, do 21/3=7. g=7

Hope this helps!

does anyone know the answer?​

Answers

Answer:

multiply the bottom equation by 6

Four spheres of radius 6 cm just fit inside a cylinder.

Calculate the volume inside the cylinder that is empty.

Leave your answer in terms of pi.

Answers

Answer:

1152\pi\

Step-by-step explanation:

Help me please I need help .

Answers

Answer:

cos A =1.0

sin B=0.02

tan C=9.1

Please help, I might give brainliest.

Answers

Answer:

1. The two decimals are 1.06 and 1.28. 2. The numbers 1.06 and 1.28 are both between 1 and 2.

Express your answer as a polynomial in standard form.
f(x) = 2x + 7
g(x) = 2x2 - 6x +5
Find: g(f(x))

Answers

Answer:

[tex]16x^{2}+44x+61[/tex]

Step-by-step explanation:

g(f(x)) means that you substitute f(x) as x in g(x)

[tex]2(2x+7)^{2}-(6)(2x+7)+5[/tex]

expand

(2x+7)(2x+7)=

4x^2+28x+49

(2)(2x+7)(2x+7)=16x^2+56x+98

16x^2+56x+98-12x-42+5

16x^2+44x+61

Which expression has a value of 3

A. (12 + 6) ÷ (3 + 3)

B. 12 + (6 ÷ 3 + 3)

C. (12 + 6) ÷ 3 + 3

D. 12 + 6 ÷ (3 + 3) ​

Answers

Answer:

(12 + 6) / (3 + 3) =  18 / 6 = 3

your answer is : (12 + 6) / (3 + 3)

Answer:

A

Step-by-step explanation:

A) 18/6 = 3

B) 12+5 = 17

C) (18 / 3) + 3 = 9

D) 12 +(6/6) = 13

Chef Antonio works at a Latin restaurant and doing a great job. During his yearly evaluation, the owner increased his salary from $42,500 to $46,000. What is the percent of increase, to the nearest whole percent, in Chef Antonio's salary?

Answers

Answer:

8%

Step-by-step explanation:

To find the percent change, we first have to find the amount changed, which is (46000-42500) = 3500. Then, we find what percentage that is of the original amount. Remember that when calculating percentage change, it's important to calculate change with respect to the initial value.

To find the percentage, we can divide 3500 by 42500, and multiply that by 100, resulting in 8 being our nearest whole percent

Given two similar cylinders with a height ratio of 2:3 what is the ratio of their volumes?

Answers

Answer:

8 : 27

Step-by-step explanation:

The ratio of the volumes is the ratio of the scale factor cubed

2^3 : 3^3

8 : 27

Answer:

8 : 27

Step-by-step explanation:

Given 2 similar cylinders with height ratio = a : b , then

ratio of volumes = a³ : b³

Here height ratio = 2 : 3

ratio of volumes = 2³ : 3³ = 8 : 27

What is the area of triangle ABC?
3 square units
O 7 Sguare units
11 square units
15 square units

Answers

Answer:

3

Step-by-step explanation:

base = 4-1

= 3

height = 3-1

= 2

Area = 1/2 (b)(h)

= 1/2 (3)(2)

= 3

therefore the answer is 3 square unit

Kharter goes to a gas station near his house where it costs $2.95 per gallon. Kharter’s car hold’s 13.2 gallons. The gas station near Devin’s house sells gas for $3.03 per gallon and his car holds 11.8 gallons

Answers

Same bc both add up like yup

Two workers paint lines for angled parking spaces. One worker paints a line so that m∠1=65. The other worker paints a line so that m∠2=65. Are their lines parallel? Explain your answer.

Answers

The image of the car park showing the 2 angles is attached.

Answer:

Their lines are parallel.

Step-by-step explanation:

From the attached image, we can see that ∠1 and ∠2 form a pair of alternate exterior angles. Thus; ∠1 = ∠2.

Now since they are congruent, it means that their lines will be parallel.

Thus, we can conclude that their lines are parallel.

I need help but they are getting confused with the z as a 2 please don’t get confused the z is a z

Answers

Step-by-step explanation:

everything can be found in the picture

Answer:

w = - (7/2) z

Step-by-step explanation:

5w + 9z = 2z + 3w

Subtract 3w from both sides

2w + 9z = 2z

Subtract 9z from both sides

2w = -7z

Divide both sides by 2

w = - (7/2) z

Jason rolls a fair number cube labeled 1 through 6 and then he flips a coin what is the probability that he rolls a 3 and flips a head

Answers

There are 6 numbers on the cube.

The probability of getting a 3 would be 1 out of 6, 1/6

The probability of getting heads on a coin toss is 1/2

The probability of getting both a 3 and a head = 1/6 x 1/2 = 1/12

Answer: 1/12

PLZ HELP ITD MEAN THE WORLD

Answers

dude its just 3 rooms. yes

Answer:

3 rooms

Step-by-step explanation:

For 1 1/4 rolls of electric wire = 1 room

For 3 3/4 rolls of electric wire = 3 3/4 ÷ 1 1/4

                                                 = 15/4 ÷ 5/4

                                                 = 15/4 x 4/5

                                                 = 15/5

                                                 = 3 rooms

Anyone know the answer to this ?!?

Answers

Answer:

12/25 = 48/100 = .48 = 48%

Step-by-step explanation:

(2x2 + 4x + 1) + (3x2 + 6x + 5)

Answers

Answer:

5x^2+10x+6

Step-by-step explanation:

How to sketch the graph?

Answers

Step-by-step explanation:

sketch the mother function of |x| then go 3 steps to the right horizontally and that's it

Classify the following triangle. Check all that apply.

Answers

Answer:

Option(B) & Option(C)

Step-by-step explanation:

Right angled triangle (One angle is 90 degree)

Isosceles(Two sides of triangle are equal)

expand (y+1)(y-4) !!!!!!

Answers

Answer:

Step-by-step explanation:

y^2 - 4y + y - 4

y^2 - 3y - 4

If f(x) = 5x, what is rx)?

Answers

Answer:

18x

Step-by-step explanation:

If f(x) is 5x which can also be expressed 5(x)

Then r(x) is a number then x

f is the fifth digit in the alphabet

So fx is 5x

r is the 18 th letter so

18x

HELP
Use the definition of continuity and the properties of limits to show that’s the function…

Answers

Answer with Step-by-step explanation:

We are given that

[tex]g(x)=(x^2-3x-10)(x^2+2x^2-5x+4)[/tex]

x=-1

Using property of limit

[tex]\lim_{x\rightarrow -1}g(x)=\lim_{x\rightarrow -1}(x^2-3x-10)(3x^2-5x+4)[/tex]

=[tex](1+3-10)(3+5+4)[/tex]

=[tex](-6)(12)[/tex]

=[tex]-72[/tex]

[tex]g(-1)=(1+3-10)(1+2+5+4)[/tex]

[tex]g(-1)=(-6)(12)=-72[/tex]

[tex]\lim_{x\rightarrow -1}g(x)=g(-1)[/tex]

Hence, the function is continuous at x=-1

Alice, Bernice, and Carol have £600 altogether. The ratio of Alice’s money to Bernice’s money is 3:7. Carol has £60 more than Alice. What is the amount of money each girl got?

Answers

Answer:

Alice - £124.62

Bernice - £290.77

Carol - £184.62

Step-by-step explanation:

Let the amount of money Alice has be a. This way, the sentence "The ratio of Alice’s money to Bernice’s money is 3:7." can be translated into a proportion:

Alice's money / Bernice's money = 3 / 7

We can substitute Alice's money with a, and cross multiply and solve for Bernice's money:

a / Bernice's money = 3 / 7

7a = 3(Bernice's money)

Bernice's money = 7/3 a

Now, we can represent Carol's money in terms of Alice's money, she has 60 more, or a + 60. We can create can equation to represent the total:

Alice's money + Bernice's money + Carol's money = total

We can plug in what we have and solve for a:

a + 7/3 a + a + 60 = 600

13/3 a = 540

a = 124.62

This means Alice has £124.62

Bernice has 7/3 a amount of money, so we can substitute the value of a to get Bernice has 7/3 (124.62), or £290.77

We can do the same for Carol who has 60 more, 124.62 + 60 is £184.62

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