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The value of x is 5, the correct option is B

A quadrilateral with one side parallel to the other is a Trapezoid.

The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.

In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.

The length of AB = 12.6

The length of the midline EF = 8.8

The value of x =?

From the definition,

8.8 = (12.6 + x) /2

8.8 * 2 = 12.6 +x

x = 5

Therefore,the correct option is B.

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Answer:

Well its the same formula for the area of a triangle, nothing changes.

a=B*H/2

Step-by-step explanation:

Even if the shape changes, in order to find the area of one side of a triangle, locate the base and height and multiply those two together. After that, use that product and divide it by 2 to find the area of that triangle.

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1 , then sin²x = 1 - cos²x

Consider the left side

sin²a - sin²b

= (1 - cos²a) - (1 - cos²b)

= 1 - cos²a - 1 + cos²b

= cos²b - cos²a

= right side , thus verified

Answer:

Range - a  is y<k

Range + a is y>k

Doman always all real numbers

Step-by-step explanation:

Answer:

domain- always all real numbers

and im not too certain about the last 2 but im pretty sure that

range-a is less than or equal to whereas range+a is more than or equal to.

Answer: $1.4

Step-by-step explanation:

Given that:

Discounted price roses = $1

Amount saved = $4

Regular price - discounted price = amount saved

x - 10(1) = 4

x - 10 = 4

x = 4 + 10

x = $14

Regular price of 10 roses = $14

Regular price per rose = $14 / 10 = $1.4

Answer:

Exact Form:

557/24

Decimal Form:

23.208¯3

Mixed Number Form:

23   5/24

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Answer:

The answer is below

Step-by-step explanation:

A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure

Solution:

The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:

V'(x) = 0

V(x) = x(1500 - x) = length * breadth.

This means the enclosure has a length of x and a width of 1500 - x

Given that:

v(x)=1500x-x². Hence:

V'(x) = 1500 -2x

V'(x) = 0

1500 -2x = 0

2x = 1500

x = 1500 / 2

x = 750 feet

The maximum area = 1500(750) - 750² = 562500

The maximum area = 562500 feet²

Answer:

562500 feet²

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

if he has 500 and wants to have 200 left subtract 500-200=300

then if he spends 24 each week divide 300/24=12.5

the maximum number is 12 because cant have a remainder

at the end of the summer he would have 212 left.. 12x24=288..500-288=212

Answer:

12 weeks .

Step-by-step explanation:

24 x 12 = 288 . 24 x 13 = 312 .

500 - 288 = 212 . 500 - 312 =188 .

its 12 because if you do 13 its to below the price so you'll have some change left .

-4,-9/4, 1/2,s.r. 5, 3.7

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

Answer:

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

Step-by-step explanation:

Answer:

0 > -9

Step-by-step explanation:

8 > -1

-8   -8

0 > -9

Answer:

I can not see the full question

Step-by-step explanation:

Answer:

12/20 is 3/5, 42/66= 7/11, 7/56=1/8, 30/45=2/3, 9a/50a= i dont know because you are not able to divide 9/2 and is able to divide 50/2, 125/625= 1/5

Step-by-step explanation:

divide the numerator and the denominator buy the same number to get the answer i got 12/20 to 3/5 because 12/4= 3 and 20/4=5.

Answer:

-12p+p^2+36

Step by step explanation:

(-p+6)^2 is the square of -p+6

we use the formula

(a+b)^2=2ab+a^2+b^2

(-p+6)^2=-12p+p^2+36

the minus of p disappears

I think you meant to say the SQUARE ROOT.

sqrt{-p + 6}

If you meant to SQUARE THE BIMOMIAL, then the set up is:

(-p + 6)^2

(-p + 6)(-p + 6)

p^2 -12p + 36

Answer:

25.5

Step-by-step explanation:

Just did it

Answer:

Yes

Step-by-step explanation:

Question:

The height of Peter’s baseball is given by the graph below (See attachment)

Answer:

Step-by-step explanation:

The (a) & (b) will be answered by making reference to the attachment.

Solving (a): Time to reach maximum height

The height is plotted at the vertical axis while the time taken is at the horizontal axis.

From the attachment; the following details can be observed

Using function notations, this can be represented as:

[tex]f(1.5) = 90[/tex]

And the interpretation is that:

Peter's baseball reached the maximum height at 1.5 seconds

Solving (b): Time to hit the ground

The interpretation of this question is to solve for the x intercept of the graph.

From the attachment; the following details can be observed

Using function notations, this can be represented as:

[tex]f(4) = 0[/tex]

And the interpretation is that:

Peter's baseball hit the ground at 4 seconds

Answer:

∠ 6 = 28°

Step-by-step explanation:

152° and ∠ 5 are corresponding angles and are congruent, then

∠ = 152°

∠ 5 and ∠ 6 are adjacent angles and are supplementary, thus

∠ 6 = 180° - 152° = 28°

Answer: -3486784401

Step-by-step explanation:

This is a geometric progression and the formula to use to find the nth term will be: = ar^(n-1)

where,

a = 3

r = -9/3 = -3

n = 20

Therefore, ar^(n-1)

= 3 × -3^19

= 3 × -1162261467

= -3486784401

Answer:

y=-x+3.

Step-by-step explanation:

The graph goes down one and right one before making another point. This means that the slope is -1/1. Simplify and you get -1. So far we have y=-1x. -1x is the same as -1. Now we have y=-x. The graph intersects the y-axis at the point (0,3). This makes our y-intercept 3. Our final equation is y=-x+3.

Answer:

Perpendicular

Step-by-step explanation:

It is a symbol used for showing any two lines perpendicular to each other.

Answer:

The symbol ⊥ is representative of the perpendicularity of lines.

Step-by-step explanation:

For lines to be perpendicular, they must intersect and form a right angle (90 degrees).

For example, in the image shown:

[tex]AB[/tex] ⊥ [tex]XY[/tex]

This is because the two lines intersect and form a right angle.

Answer:

f(x) = 9x+8

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Since every year she watches it 3 times, she would watch 3·24 times when she is 24. 3·24=3·20+3·4=60+12=72

Answer:

72

Step-by-step explanation:

Answer:

7.125

and 5.1

Step-by-step explanation:

Answer:

(f · g)(x) = 4x³ + x² - 20x - 5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 4x + 1

g(x) = x² - 5

(f · g)(x) is f(x)g(x)

Step 2: Find (f · g)(x)

We know that,

[tex] \Large \underline{\boxed{\sf{ (f . g)(x) = f(x) \times g(x) }}}[/tex]

By substituting values :

[tex] \sf : \implies (f . g)(x) = (4x+1) \times (x^{2} -5)[/tex]

[tex] \sf : \implies (f . g)(x) = 4x(x^{2} -5) +1(x^{2} -5)[/tex]

[tex] \sf : \implies (f . g)(x) = 4x^{3} - 20x + x^{2} -5[/tex]

[tex] \sf : \implies (f . g)(x) = 4x^{3} + x^{2} - 20x -5[/tex]

Hence, answer is :

[tex]\underline{\boxed{\sf{(f . g)(x) = 4x^{3} + x^{2} - 20x - 5}}}[/tex]

Answer:

infinite

Step-by-step explanation:

trust me I would know im a smart man in college

Two or more expressions with an Equal sign is called as Equation.6(3-5w)=5(4-2w)-20w have no solution

Two or more expressions with an Equal sign is called as Equation.

The given equation is 6 times of three minus five w equal to five times of four minus two w minus twenty w.

6(3-5w)=5(4-2w)-20w

Apply distributive law on LHS side

6(3)-6(5w)=5(4)-5(2w)-20w

18-30w=20-10w-20w

Let us take all the variable w terms to one side

18-20=30w-10w-20w

-2=0

Hence based on the given equation , it has no solution.

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Answer:uhhh

Step-by-step explanation:

9514 1404 393

Answer:

  linear

Step-by-step explanation:

The slope of the line between the first pair of points is ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -2)/(1 -0) = 1/1 = 1

The slope of the line between the second pair of points is ...

  m = (4 -3)/(2 -1) = 1/1 = 1

The slopes are the same, so the points are on the same line. The graph is that of a linear function.