.
2. Does the relation {(-5, -3), (7, 2), (3, 8),
(3, -8), (5, 10)} represent a function? Use the
arrow diagram. Then explain your answer.

Answer:

WX = 6

Step-by-step explanation:

1. Approach

First, one must find the value of the variable (x). This can be done by using the Tangent-Line-intersection-theorem (many people refer to it by another name, but the theory is the same). This theory essentially states that when two lines are tangent to a circle and are non-parallel, the distance between the point of tangency, and the point of intersection of those two lines are the same for each line. After finding the value of (x), one can substitute it back into the given equation for the value of (WX), and solve it.

2. Finding (x)

The two segments; (WX) and (XY) are tangent to the given circle. Meaning that they only make contact with the circle at a single point. The space between their point of tangency and the point at which they intersect will be equal. Essentially meaning that the length of (WX) and the length of (XY) are the same. Therefore the equation

(XY) = (XW)

Can be formed. Substitute in the given values;

7x - 29 = 2x + 16

Inverse operations,

7x - 29 = 2x + 16

-2x          -2x

5x - 29 = 16

     +29    +29

5x = 45

/5      /5

x = 9

3. Solve for (WX)

Now substitute back in to find the length of (WX)

7x = 29

x = 5

7(5) - 29

35 - 29

6

9514 1404 393

Answer:

  1 11/12

Step-by-step explanation:

  [tex]\dfrac{1}{6}+\dfrac{7}{4}=\dfrac{2}{12}+\dfrac{21}{12}=\dfrac{2+21}{12}\\\\=\boxed{\dfrac{23}{12}=1\dfrac{11}{12}}[/tex]

Answer:

i get    mABC = 270°

Step-by-step explanation:

This is fairly straight forward once you the right angle symbol for the arc AC.  Also realizing the 148° for mAB is not needed for this question.  The 148° for mAB would be useful if you wanted to calculate arc mBC.

Remember there are 360° in a circle.  

The arc mAC is 90°

The arc mABC is the rest of the circle.       is the arc from  A to B to C

arc ABC + arc AC is the full circle 360°

     mABC + mAC  = 360°           mAC = 90°

     mABC + 90°  = 360°              - 90° from both sides

     mABC = 360° - 90°

      mABC = 270°

The angle ∠ABC in the given circle will be 270°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

Angle is very useful to measure any angular rotational motion for example if you have to find out the rotation among the circle then it cannot measure in length parameter such that meter inch so it will be measured as an angle in a unit of degree or radian.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Now since we know that the angle of complete rotation is 360°.

Now ∠ADC + ∠ABC = 360

Given that ∠ADC = 90°

∠ABC = 360° - 90° = 270°

Hence, 270° will be the correct answer.

For more about the angle

brainly.com/question/13954458

#SPJ5

Answer:

.85 times the cost to make the shirt

Step-by-step explanation:

Let x represent cost to make the shirt.

Today, the shirt is in a 15 percent discount from its normal price.

Discount = 15/100 * x = 0.15x

Current cost = Original cost - discount

Current cost = x - 0.15x = 0.85x

The answer is;

.85 times the cost to make the shirt

Answer: b = m

(3 + m)(3 - m)

Step-by-step explanation:

Step-by-step explanation:

3c + 3s = 12.50

4c + 2s = 10.00

3S = 12.50-3c

s = 4.17 - c

4c + 2 (4.17-c) = 10.00

2c + 8.34 = 10.00

2c = 1.66

chips = 0.83

soda = 3.34

Answer:  -8, -5, -2, 1, 4

Step-by-step explanation:

Y=3x-2

- Plug in the number for x.

x = -2, y = 3x - 2= 3(-2) - 2 = - 6 - 2= - 8

x = -1, y = 3x - 2= 3(-1) - 2 = - 3 - 2= - 5

x = 0, y = 3x - 2= 3(0) - 2 = 0- 2= - 2

x = 1, y = 3x - 2= 3(1) - 2 = 3 - 2= 1

x = 2, y = 3x - 2= 3(2) - 2 = 6 - 2= 4

Answer:

[tex] \frac{7}{9} x + 34 = 174 \\ => \frac{7x}{9} = 174 - 34 \\ = > \frac{7x}{9} = 140 \\ = > 7x = 140 \times 9 \\ = > 7x = 1260 \\ = > x = \frac{1260}{7} = 180 \\ { \huge{ \pink{x = 180}}}[/tex]

Answer:

23mm

528 mm^2

Step-by-step explanation:

The area of a rectangle is given as  the product of its length and width.

Given that 12x²+17x-5mm² is the area

factorize

12x²+17x-5 = 12x²+20x -3x-5

= 4x(3x+5)-1(3x+5)

= (3x+5)(4x-1)

For the rectangle to be a square, it means that the sides 3x+ 5 and 4x - 1 are equal. Hence

3x + 5 = 4x -1

collect like terms

3x - 4x = -5 -1

-x = -6

x = 6

substitute into the sides

3x + 5 = 3(6) + 5 = 23

4x -1 = 4(6) - 1 = 23

The area of the square which is a product of the sides

= 23 * 23

= 529

Answer: $666

Step-by-step explanation: 306+ 60(6)= 666

Answer:

-10 and 8

Step-by-step explanation:

-10 + 8 = -2

-10 x 8 = -80

Answer:

x = -10 and y = 8

x = 8 and y = -10

Answer:

a) Only the first one is an identity.

Step-by-step explanation:

1). 8 cos O tan O csc O = 8   simplifies to:

cos O tan O csc O = 1

cos O * (sin O / cos O) * (1 /sin O)

=  cos O sin O / cos O sin O

= 1

So it is identity.

2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O

= 13 sec^2 O - tan^2 O / cos^2 O

Now  sec^2 O = 1 + tan^2 O, so we have:

(13( 1 + tan^2 O) - tan^2 O) / cos^2 O

= (12 tan^2 O + 13) / cos^2 O

This is not always = 2 so its not an identity.

Here is your answer!

= x + (x + 2) + 3(x + 2) = T

= (3x + 2) + (3x +6) = T

= 3x + 3x + 2 + 6 = T

= 6x + 8 = T

Hope you found this helpful!!

THANK YOU!

∝ Sidhdi

T = 5x + 8 is the formula for T expressed in terms of x.

A relationship between two expressions or values that is not equal to one another is referred to as "inequality" in mathematics. Therefore, an imbalance leads to inequity.

Given, Simon has x sweets. Yuen has 2 more sweets than Simon. Giulia has 3 times as many sweets as Yuen. Simon, Yuen, and Giulia have a total of T sweets.

From the given Data,

Thus, in Total sweets, Simon has = x

Total sweets Yuen have = x + 2

Total sweets Giulia have = 3*(x + 2 )

Since the total sweets all three have is T

Hence, T = x + x +2 + 3(x + 2)

T = x + x + 2 + 3x + 6

T = 5x + 8

Therefore, The formula for T in terms of x is T = 5x + 8

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Answer:

Step-by-step explanation:

Let the capacity of tank is x

Answer:

22

Step-by-step explanation:

10/2 $5 per pack

110/5= 22 packs

Answer:

a

Step-by-step explanation:

Answer:

A) Fluid ounces

Step-by-step explanation:

Answer:

1) [tex]49 {a}^{2} - 16 {b}^{2} [/tex]

2) [tex]251502[/tex]

Step-by-step explanation:

a) Question :-[tex](7a - 4b)(7a + 4b)[/tex]

Identity used here :-[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

So,

[tex](7a + 4b)(7a - 4b)[/tex]

[tex]=> {(7a)}^{2} - {(4b)}^{2} [/tex]

[tex]=> 49 {a}^{2} - 16 {b}^{2} [/tex]

b) Question :- [tex]501 \times 502[/tex]

Identity used here :-[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab[/tex]

So,

[tex]501 \times 502 = (500 + 1)(500 + 2)[/tex]

[tex] = > {(500)}^{2} + (1 + 2)500 + 1 \times 2[/tex]

[tex] = > 250000 + 1500 + 2[/tex]

[tex] = > 251502[/tex]

Answer:

The answer to your problem should be 2

Answer:

x^2 - 6x + 8 = x^2 - 2x - 4x + 8 = x(x-2) - 4(x-2) = (x-4) (x-2)

x - 4 = 0 => x = 4

x - 2 = 0 => x = 2

Answer:

8x !

Step-by-step explanation:

Answer:

8x

Step-by-step explanation:

Answer:

12.566 yd

Step-by-step explanation:

Answer:

At these rates Sydney read 10 pages per hour more than Zander.

Step-by-step explanation:

Zander read [tex]13\frac{3}{4}[/tex] pages in [tex]\frac{1}{4}[/tex] of an hour.

Therefore, pages read by Zander in 1 hour = [tex]\frac{\text{Total pages read}}{\text{Total time taken}}[/tex]

= [tex]\frac{13\frac{3}{4}}{\frac{1}{4}}[/tex]

= [tex]\frac{55}{4}\times \frac{4}{1}[/tex]

= 55 pages per hour

Sydney read [tex]43\frac{1}{3}[/tex] pages in [tex]\frac{2}{3}[/tex] of an hours.

Pages read by Sydney in 1 hour = [tex]\frac{43\frac{1}{3}}{\frac{2}{3} }[/tex]

= [tex]\frac{130}{3}\times \frac{3}{2}[/tex]

= 65 pages per hour

Therefore, number of pages read more by Sydney as compared to Zander,

= 65 - 55

= 10 pages per hour

At these rates Sydney read 10 pages per hour more than Zander.

Answer:

All real numbers