Lenny has a model train layout on a large, rectangular board. The length, l, of the board is 3 times the width, w. Which equation can be used to find P, the perimeter of the board?

Answer:

True , because all properties preserved under dilation from triangle abc to a'b'c'.

Step-by-step explanation:

Given : A triangle abc is dilated by a factor of 2/3 , result triangle a'b'c'

To find :After dilation,  properties of triangle abc and a'b'c' is true or false.

Solution:

          Dilation of a triangle are result either decrease or increase the corresponding length of triangle , its depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of triangle.here scale factor is 2/3 so corresponding sides of triangle a'b'c' decreases.

So, dilation of triangle are not congruent but similar to the original triangle abc

Therefore , basic properties of triangle preserved under dilation of triangle by a scale factor.

Answer:

true

Step-by-step explanation:

Answer:

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The equation in slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Finding Slope:

The both equations given are parallel. So, they have same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation  [tex]y=mx+b[/tex] where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept

Using slope m = -2/3 and point (-3,5) we can find y-intercept

[tex]y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3[/tex]

So, we get b = 3

Now, the equation of required line:

having slope m = -2/3 and y-intercept b =3

[tex]y=mx+b\\y=-\frac{2}{3}x+3[/tex]

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]

Answer:

[tex]\displaystyle y = -\frac{2}{3}x + 3[/tex]

Step-by-step explanation:

5 = –⅔[–3] + b

2

[tex]\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3[/tex]

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.

I am joyous to assist you at any time.

Answer:

20-6=14 students not in math club

14:20

if it wants you to simplify it then: 7:10

Step-by-step explanation:

I hope this helps :)

Answer:

The fifth term of the sequence is: [tex]\mathbf{a_5=10}[/tex]

Step-by-step explanation:

We need to find the fifth term in the sequence  that is defined as follows:

[tex]a_n = 3n - 5[/tex]

For finding the fifth term we have to put n=5 and solve the sequence

Putting n=5, and solving the sequence

[tex]a_n = 3n - 5\\Put\:n=5\\a_5=3(5)-5\\a_5=15-5\\a_5=10[/tex]

So, the fifth term of the sequence is: [tex]\mathbf{a_5=10}[/tex]

Answer:

y = - 3x + 2

Step-by-step explanation:

y = - 3x + 5

Slopes of parallel lines are equal

( - 1, 5)

y - 5 = - 3(x + 1)

y = - 3x + 2

Answer:

y = 4x - 9

Step-by-step explanation:

Take 2 points:

(0,-9) and (4,7)

Find the slope:

(7 - (-9))/(4 - 0)

16/4 = 4

so we have y = 4x + b

Now find b:

Insert a point for y and x:

7 = 4(4) + b

7 = 16 + b

b = -9

y = 4x - 9

Answer:

The answer is 1x = 11. 5-4 = 1. 1*x = 1x

1x =11

Step-by-step explanation:

Answer:

that number would be 3

Step-by-step explanation:

5x−4=11

x=3

Answer:

I believe the answer is 214.

Step-by-step explanation:

Answer:

1/500

Step-by-step explanation:

4kg = 4000 grams

8 / 4000 simplifies to 1/500

Step-by-step explanation:

What is 8grams as a fraction of 4kg (but as a simplified

Answer:

If the shaded area is 16 cm^2, then the length in the figure is

[tex] \sqrt{16} = 4 \: cm[/tex]

Answer:

B | 8.45 miles per hour.

Step-by-step explanation:

8.45 x 2 is 16.9.

Answer:

slope=2/3

Step-by-step explanation:

form is y=mx+b where m is the slope.

Answer:

4.21

Step-by-step explanation:

12 is less than 21 therefore its bigger

The larger number is 4.21

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = A

Let the second number be = B

Now , the value of A = 4.12

And , the value of B = 4.21

Now , we can clearly see the value of B is greater than A

So , the equation will be

Therefore , the value of B > A

And , 4.21 > 4.12

Hence ,The larger number is 4.21

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

240 miles?

Step-by-step explanation:

Answer:

3 2 5 4 1 in that order :D

Step-by-step explanation:

Answer:

divide the numerator by the denominator

Answer:

B

Step-by-step explanation:

pls give me brainliest!!<3

Answer:

I believe the answer is 1/2

Step-by-step explanation:

y1 - y2 / x1 - x2

0 - 3 / -6 - 0

-3 / -6

3 / 6

1 / 2

Answer:

$42

Step-by-step explanation:

Given

Principal (P) = $300

rate of interest (R) = 7%

Time (7T) = 2 years

Interest (I) = ?

We know

I = PTR / 100

= 300 * 7 * 2 / 100

= $ 42

Hope it will help :)❤

Answer:

The expression y = 4.85g + 0.83s can be used to determine the total cost.

Step-by-step explanation:

Given that:

Cost per pound of granola bars = $4.85

Cost per pound of sugar = $0.83

Let,

y be the total cost.

According to given statement;

y = 4.85g + 0.83s

Hence,

The expression y = 4.85g + 0.83s can be used to determine the total cost.

Answer: 40

Step-by-step explanation:

Assume Julio's number is x.

The expression would be:

-7 * (x - 15) = -175

x - 15 = -175/-7

x = -175/-7 + 15

x = 40

Find diagram of number line attached Answer and Explanation:

In the diagram we have used two examples of rational numbers and integers each and have marked the locations of each value with an asterisk on the number line diagram.

Negative values go to to the left of zero on the number line while the opposite is the case for positive values. Rational numbers which are fractions here are portions of whole number as demonstrated in the diagram, from 1-2 on the positive side, a quarter(1/4) and then half(1/2) of 1 to 2

Answer:

it's C. 5

Step-by-step explanation:

When x = 2

y = 13 - 4 * 2

= 13 - 8

= 5

Hope it will help :)❤

Answer:

D. 54√2

Step-by-step explanation:

given

3√3 * 6 √6

= 3 √3 * 6 * √3 * √2

= 3* 3*6 √2

= 54√2

Answer:

The equation is:

[tex]409 = T - 223[/tex]

And the solution is:

[tex]T = 632[/tex]

Step-by-step explanation:

Given

Represent Kiran with K and Tyler with T

Kiran score is represented as:

[tex]K = 409[/tex]

Also, Kiran scored 223 less than Tyler.

This is represented as:

[tex]K = T - 223[/tex]

Substitute 409 for K

[tex]409 = T - 223[/tex]

Make T the subject

[tex]T = 409 +223[/tex]

[tex]T = 632[/tex]

Answer:

The mileages for which Company A charges less than Company B is 0 miles ≤ m ≤ 85 miles

Step-by-step explanation:

The given parameters for the two companies are;

For Company A

Company A initial fee = $55

The additional fee per mile = 70 cents

For Company B

Company B initial fee = $97.50

The additional fee per mile = 20 cents

Let [tex]C_A[/tex] represent the total charge for company A and let [tex]C_B[/tex] represent the total charge for company B, we have;

[tex]C_A[/tex] = 55 + 0.70 × m

[tex]C_B[/tex] = 97.50 + 0.20 × m

Where "m" represents the number of miles driven

Therefore, the cost of Company A and Company B are the same or equal when have the following relation;

[tex]C_A[/tex] = [tex]C_B[/tex]

∴ 55 + 0.70 × m = 97.50 + 0.20 × m

0.70 × m - 0.20 × m = 97.50 - 55

0.5 × m = 42.5

m = 85

The number of miles driven for which the two companies will charge the same amount, m = 85 miles

Therefore, given that the initial fee for Company A is less than the initial fee for Company B. we have;

Therefore for 0 miles  ≤ m < 85 miles, Company A charges less than Company B.

Answer:

factor the expression:2(x+3

simply the expression:2x+6

Step-by-step explanation:

tell me if you don't get it

Answer: x = 4

Step-by-step explanation:

First, we must divide the two, its in a fraction, and as you should know, when we divide exponents, you subtract the exponent on the numerator by the exponent on the denominator. So in this case we are doing 7 - 3 which is equal to 5.

[tex]7^5 = 7^x[/tex]

[tex]7^5 = 7^5[/tex]

Then we still need to subtract [tex]7^1[/tex] from [tex]7^5[/tex].

So our answer is [tex]7^4[/tex]

Answer: x = 4

Answer:

rhombus, or a parallelogram

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.4/9=0.44

2.9/25=0.36

3.1/256=0.003

4. 1/243=0.004

Answer:

1.4/9

2. 9/25

3. 1/256

4. 1/243

Step-by-step explanation:

1. (2/3)^2= (2/3)*(2/3)=4/9

2/3=0.6667 raised to the power 2 is 4 over 9

2. (3/5)^2=(3/5)*(3/5)=9/25

3/5=0.6 raised to power 2 is 9 over 25

3. (1/4)^4=(1/4)*(1/4)*(1/4)*(1/4)=1/256

1/4=0.25 raised to the power 4 is 1 over 256

4. (1/3)^5=(1/3)*(1/3)*(1/3)*(1/3)*(1/3)=1/243

1/3=0.333 raised to the power 5 is 1 over 243

Answer:

80

Step-by-step explanation:

180-80-20=80