Two cars drive on the same highway in the same direction. The graphs show the distance, , of each one as a function of time, . Which car drives faster? Explain how you know.

Answer:

n = 16, AC = 60, DE = 30

Step-by-step explanation:

DE joins the midpoints of 2 sides of the triangle and is half the length of the third side, that is

DE = [tex]\frac{1}{2}[/tex] AC , substitute values

n + 14 = [tex]\frac{1}{2}[/tex] (3n + 12) ← multiply both sides by 2 to clear the fraction

2n + 28 = 3n + 12 ( subtract 2n from both sides )

28 = n + 12 ( subtract 12 from both sides )

16 = n

Then

AC = 3n + 12 = 3(16) + 12 = 48 + 12 = 60

DE = n + 14 = 16 + 14 = 30

Answer:

7in, 7in, and 15 in

Step-by-step explanation:

Based on the Triangle Inequality Theorem that states that the sum of any 2 sides of a triangle must be greater than the measure of the third side, we can find what set of lengths cannot form a triangle.

The only set that does not follow the theorem is the set with lengths 7in, 7in, and 15in. It does not follow the theorem because...

7 + 7 < 15 (which should not be true based on the theorem)

Answer:

the awnse is 2 i hope i helped

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3 x 4 / 6

3 x 4 = 12

12 / 6 = 2

PEMDAS

M - multiplication

D - division

Multiplication comes before division.

Answer:

The number is

=

109.31

Explanation:

Let the number be

=

x

58

100

(

x

)

=

63.4

x

=

63.4

×

(

100

58

)

x

=

6340

58

x

=

109.31

Answer:

Step-by-step explanation:

Let B = the weight of box B

Let 2B = the weight of box A

Let 2B + 30 = the weight of box C

B + 2B + 2B + 30 = 640

5B = 610

B = 122 pounds, weight of box B

2B = 2(122) = 244 pounds, weight of box A

2B + 30 = 2(122) + 30 = 274 pounds, weight of box C

Answer:

whatttttt6 whattttt whattt

59.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is C

Answer:

6 root 2

Step-by-step explanation:

Pythagous Therom

A^2 = B^2 + C^2

B^2 = C^2 - A^2

B^2 = 36 - (2 Root 3)^2

B^2 = 24

B = 2 root 6

Base x Height / 2 for area of Triangle

2 root 3 x root 24 = 12 root 2

12 root 2 / 2 = 6 root 2

The right triangle is the one where one of the angles is a right angle (90 degrees) or two of the sides are perpendicular.

In [tex]\Delta[/tex] ABC

h² = 6² -(2√3)²

h² = 36-2² × √3²

h² = 36- 4× 3

h² = 36- 12

h² = 24

h =√24

h = 2√6 cm

Area  = [tex]\frac{1}{2}[/tex]× BC × h

         = [tex]\frac{1}{2}[/tex] × 2√3 ×  2√6

        = 2√18

        = 6√2

compare it with A= K√2 So K= 6

Find out more about the right angled triangle here:

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Answer:

answer of this question is

option b

Answer:

Layla's data set has a greater spread than Elle's data set

Eplanation:

I just got it right on the test I took..

The conclusion is Layla’s data set has more outliers or extreme values than Elle’s data set.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We are given that;

E and L collect data on library use from same students. L’s SD > E’s SD.

Now,

Since Elle and Layla collected data samples from the same population of students, we can assume that they have the same mean for their data sets. Hence, if Layla’s standard deviation is much larger than Elle’s standard deviation, it means that Layla’s data set has more variation or dispersion than Elle’s data set. In other words, Layla’s data set has more outliers or extreme values than Elle’s data set. This could be due to random sampling error or some other factor that influenced Layla’s data collection.

Therefore, by the standard deviation the answer will be Layla’s data set has more outliers or extreme values than Elle’s data set.

Learn more about standard deviation and variance:

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Answer:

C) $50.00

Step-by-step explanation:

$7.50 is the 15% discount

1% of the original price would be ($7.50 / 15)=0.50

100% of the original price would be 100 x 0.50 =  $50.00

Answer:

C , D.

Step-by-step explanation:

Answer:

I believe it is D (as well as C)

Step-by-step explanation:

The equation being showed is K being divided by 2, there in other words you can simply re-write it as K÷2

Answer:

Parallelogram, rhombus, rectangle, square.

Hope this helps.

Step-by-step explanation:

Answer:

18.5

Step-by-step explanation:

Answer:

100% until the question is incomplete

Answer:

if it is thren true  (???) you gots to be more specific...pls)

Step-by-step explanation:

is this a trues or false satement

Answer:

10[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}[/tex]×(15+6)=

[tex]\frac{1}{3}[/tex]×(31)=

[tex]\frac{1}{3}[/tex]×[tex]\frac{31}{1}[/tex]

[tex]\frac{31}{3}[/tex]

10[tex]\frac{1}{3}[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

The quadratic polynomial with integer coefficients is [tex]y = 81\cdot x^{2}-36\cdot x -19[/tex].

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

Find a quadratic polynomial with integer coefficients which has the following real zeros: [tex]x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}[/tex].

Let be [tex]r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}[/tex] and [tex]r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}[/tex] roots of the quadratic function. By Algebra we know that:

[tex]y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}[/tex] (1)

Then, the quadratic polynomial is:

[tex]y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}[/tex]

[tex]y = 81\cdot x^{2}-36\cdot x -19[/tex]

The quadratic polynomial with integer coefficients is [tex]y = 81\cdot x^{2}-36\cdot x -19[/tex].

Answer:

b

Step-by-step explanation:

Answer:

n bcd

Step-by-step explanation:

1.

2.

3.

Answer:

The y intercept in P(x) =4

1.C

3.B

Answer:

29/12=2.41666667

..................=2.33333333

.......................=2.58

second

Step-by-step explanation:

Answer:44

Step-by-step explanation:subtract 55-11 which would equal L

Answer:

If you are multiplying L*W the answer would be 5 because w=11 ok and we don't know what L is but we know what A is and a=55 so you have to think what do we multiply 11 by to get 55 weel it's 5 so that's how we would know it's 5 IF you were multiplying. now if you just adding L+W that answer would be 44 because 55-11=44

Hope this helped:)      

Answer:

What is p% of x?

What is

150

%

of

250

?

y =

375

what is p% of x? formula

Step-by-step explanation:

Answer:

(-2, 4)

Step-by-step explanation:

In the first equation substitute -2x for y, obtaining:  5x - 9(-2x) = -46

Then 5x + 18x = -46, or  23x = -46, resulting in x = -2

Since y = -2x, y = -2(-2) = 4

The solution is (-2, 4)

The value of x coming is -2 and the value of y=4 by plotting the equations 5x-9y=-46 and y=-2x.

A statement that the values of two mathematical expressions are equal.

How to plot graph of an equation?

First we have to find the values of x and y as we can see in the figure1.

By plotting these points we can make graph of both the equations and the intersection point will be the solution of these equations.

Blue line is the line of the equation 5x-9y=-46 and the green line is the line of the equation y+2x=0

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Answer: 16

Step-by-step explanation:

This explanation is all based on the fact that I read 1S_4 as 1/4 which is the most sensable assumption.  

let b be base and h be height of the triangle

if each b and h is divided by 4

=> b/4 and h/4

using triangle area formula

1/2 x b/4 x h/4  = (bh)/32

the original triangle

=> 1/2 x b x h = (bh)/2

(bh)/32 x (something) = (bh)/2

that something is

(bh)/32/((bh)/2) = 16

Or

you could use the fact that the ratio of sides of those two triangles is 1 to 4 and because we are comparing the ratio of the area 1^2 to 4^2 which results in a 1 to 16 ratio which simply means you just have to multiply the smaller triangle by 16.