Find mc when quadrilateral ABCD is a parallelogram.

Answer:

TUNNEL:

f(x) = -2/4.9  [tex]x^{2}[/tex]  + 9.8

TRUCK:

Width (m) < 9.8

Height (m) <  -2/4.9 ( [tex]Width^{2}[/tex] /4 - [tex]4.9^{2}[/tex] )

Step-by-step explanation:

Please see attachment

If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, The quadratic model to represent the tunnel will be f(x)= (-2/4.9)x²+9.8.

Any function of the form[tex]\rm f(x) =ax^2+bx+c[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.

It is given that, If the maximum height of the tunnel is the same as its maximum width, 9.8 meters.

We have to determine a quadratic model to represent the tunnel.

The quadratic function is formed as,

f(x) =K(x-x₁)(x-x₂)

x₁=width/2

x₁=9.8/2 = 4.9

x₂= -x₁ = -4.9

Substitute the obtained value as,

f(x) = K(x-4.9)(x-(-4.9))

f(x) =K(x²-4.9²)

f(0)=9.8

The value of K is obtained as a result,

K=-2×4.9/(4.9)²

K= -2/4.9

Substitute the value of K as,

f(x) = -2/4.9(x²-4.9²)

f(x) = (-2/4.9)x²+2×4.9

f(x)= (-2/4.9)x²+9.8

Thus, if the maximum height of the tunnel is the same as its maximum width, 9.8 meters, The quadratic model to represent the tunnel will be f(x)= (-2/4.9)x²+9.8.

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a. The equation that both services would cost the same is

0.25x + 5 = 0.35x + 2.

b. The weight of Mr. Molinary's package is 30 ounces.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, AAA Packages Plus sends packages overnight for $5 plus $0.25 per ounce.

United Packages charges $2 plus $0.35 per ounce.

Assuming the no. of ounces to be x.

∴ 0.25x + 5 = 0.35x + 2.

0.25x - 0.35x = 2 - 5.

- 0.1x = - 3.

x = 3/0.1

x = 30 ounces.

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Answer:

Step-by-step explanation:

The angle of incidence and reflection is 45°

The angle between them is 90°

they lie on the same plane, and angle of incidence = angle of reflection

the sum of all the angles is 180°

let angle of incidence and reflection be x

therefore,

90 + 2x = 180

x = 45°

Answer:

60% discount is the better buy

Step-by-step explanation

Step one

Original price =$40

Let us compute the various discounts and compare the prices

For 60%

=60/100*40

=0.6*40

=$24

New price = 40-24= $16

For 35%

=35/100*40

=0.35*40

=$14

New price = 40-14= $26

Answer:

A

Step-by-step explanation:

miles over hours

40 over 1

120 over 3

Answer:

False

Step-by-step explanation:

Additions and subtractions are done in the order they appear from left to right.

Step-by-step explanation:

[tex]A = {cos}^{ - 1} 0.5 \\ \: \: A= 60[/tex]

Answer:

54 - 3d

Step-by-step explanation:

In order to find the cost of 3 DVDs we would simply need to multiply the expression given by 3. In order to do so we must use the distributive property and distribute the 3 to both the initial price of the dvd and the discount price, like so...

3(18 - d)  ... in order to distribute we multiply 3 by 18 and then by d seperately

(3 * 18) - (3 * d)

54 - 3d

That would leave us the expression 54 - 3d

Answer:

◽Angle 14 and Angle 12

◽Angle 10 and Angle 8

Step-by-step explanation:

Vertical angles are opposite to each other on a pair of intersecting lines.

◽Angle 1 and Angle 4

These angles are not on the same two intersecting lines.

◽Angle 14 and Angle 12

These angles are on the same two intersecting lines. They are also opposite to each other.

◽Angle 7 and Angle 8

These angles are on the same intersecting lines, but they are not opposite to each other.

◽Angle 10 and Angle 8

They are on the same pair on lines, and opposite to each other.

◽Angle 3 and Angle 5

They are not on the same pair of intersecting lines.

◽Angle 8 and Angle 12

These angles are not on the same pair on intersecting lines. (However, they are also equal because they are corresponding, on the insides of an "F" pattern).

The pairs of angles are congruent because they are vertical angles that will be ∠14 & ∠12, ∠11 & ∠13, ∠10 & ∠8, and ∠7 & ∠9. Then the correct option is A.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

By the vertical angle property, then we have

∠14 = ∠12

∠10 = ∠8

∠7 = ∠9

∠11 = ∠13

The pairs of angles are congruent because they are vertical angles that will be ∠14 & ∠12, ∠11 & ∠13, ∠10 & ∠8, and ∠7 & ∠9. Then the correct option is A.

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The missing diagram is given below.

Answer:

x=2

Step-by-step explanation:

qt =tn

4x+6=5x+4

5x-4x=6-4

x=2

Answer:

p<8

Step-by-step explanation:

We multiply both sides by -1 to get

But remember, when you do that you reverse it, so we turn > into a <

2p<16

we divide both sides by 2

p<8

Hope this helps :)

Answer:

p < 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-2p > -16

Step 2: Solve for p

Here we see that any number p smaller than 8 would work as a solution to the inequality.

Answer:

Step-by-step explanation:

Let's consider an exponential function as,

f(x) = 2ˣ

Now we prepare the input-output value table to get the ordered pairs to be plotted.

f(x)     0.25     0.5          1             2            4           8

x         -2         -1            0            1             2           3    

By plotting these points we get the graph as attached.

Therefore, second option in the last attachment will be the correct option.

Answer:

 (0 -  (9 • (a^666))) -  (22•3ab^6)

 (0 -  32a^666) -  (22•3ab^6)

  -12ab^6 - 9a^666  =   -3a • (4b^6 + 3a^665)

Final result :

 -3a • (4b^6 + 3a^665)

Step-by-step explanation:

Answer:

11:54pm

Step-by-step explanation:

Key details in the Question:

- Starting at 11:00 pm a bus makes a stop every 27 minutes.

- starting at 11:00pm a taxi makes a stop every 18 minutes.

The task is to find the time in which both the bus and taxi would make a stop.

Since the taxi has the shorter duration for a stop, we would use it as the basis for our calculations.

During the first taxi stop - 11:18pm

The Bus has not yet made its stop.

During the second taxi stop - 11:36pm

The Bus has made it's first stop (11:27pm) but is currently on the road.

During the third taxi stop - 11:54pm

The Bus would also be making it's second stop

Answer:

4i + j

Step-by-step explanation:

I think you meant g instead of 8.

Given:

u = 4i + 9j

g = -8j

u + g

(4i + 9j)  + (-8j)

4i + j

Answer:

c = d/a - b

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

a(c + b) = d

Step 2: Solve for c

Answer:

B) x + 4y = 7

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

-31 feet

Step-by-step explanation:

so, -25 is the start point.

he goes anither -13 feet, so hes at -38.

he rises 7 feet, so hes at -31 feet.

Answer:

0.6g

Step-by-step explanation:

Derek has 4.8 pounds of potting soil

He shares it equally into 8 pots

Therefore the amount in each pots can be calculated as follows

= 4.8/8

= 0.6

Hence there are 0.6g in each pots

Answer:0.6

Step-by-step explanation:

Answer:

1.00 cm Is the greatest level of precision possible for the measurement of the width of the spin of the book

Answer:

I'm need you to retake to picture for me luv, I cant see the numbers

Answer:

point s at (0,5)   point t at (5,3)  point u at (4,1)

Step-by-step explanation:

happy life

Answer:

The correct options are;

a) Is

b) Passes through the middle of the plotted scatter data points on the graph

b) Is not

e Does not pass through the middle of the plotted scatter data points on the graph

Step-by-step explanation:

Whereby the graph with the line of best fit on the left was drawn by Sylvia and the graph with the line of best fit on the right was drawn by Patrick, we have;

The line of best fit is a line that gives the relationship of the data points within a graph to each other, such that the line of best fit provides an approximation of the data on a graph

The line of best fit is the line that passes through the mid region of all the scatter points within a graph, and closeness of the data points on the scatter plot to the line of best fit, the higher the level of correlation between the line of best fit and the data.

Therefore, we have;

Sylva's line is a line of best fit because her line passes through the middle of the plotted scatter data points on the graph. Patrick's line is not a line of best fit as his line does not pass through the middle of the plotted scatter data points on the graph.

Answer: Sylvia’s line  is  a line of best fit because her line  is close to most of the data points . Patrick’s line  is not  a line of best fit as his line  is not close enough to all the data points .

Answer:

13

Step-by-step explanation:

1+2×6=13

boy!!!!!!!!!!!!!!

Step-by-step explanation:

The answer has to be 4.

4×4=16

4+4+4×4=16

Work Shown:

[tex]y = \frac{1}{9}x+5\\\\9y = x+45\\\\9y-45 = x\\\\-45 = x-9y\\\\x-9y = -45\\\\[/tex]

The last equation is in the form Ax+By = C where A = 1, B = -9, C = -45

In the second step, I multiplied each term by 9 to clear out the fraction.

Answer:

$960

Step-by-step explanation:

30^2 is 900

30x2 is 60

900+60 is 960.

Hope this helps plz hit the crown :D