Triangles â–łABC and â–łDFG are similar. The lengths of the two corresponding sides are 1. 4m , and 56 cm. What is the ratio of the perimeters of these triangles ?.

Answer:

b

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

log4(x+6)=2

x+6=4²

x=4²-6

x=10

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

[tex]log_4(x+6)=2[/tex]

[tex]4^{log_4(x+6)}=4^2[/tex]

[tex]x+6=16[/tex]

[tex]x=10[/tex]

Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.

Answer:

n-1,n,n+1

Step-by-step explanation:

let the numbers be x,x+1,x+2

x+x+1+x+2=3n

3x+3=3n

3x=3n-3

x=1/3 (3n-3)=n-1

so mumbers are n-1,n,n+1

The three consecutive numbers are n-1, n, and n+1.

We have to determine, the three consecutive numbers if their sum is 3n.

According to the question,

The consecutive number series can be even as well as odd depending on the first term of the series and the difference between the numbers.

Let, the three consecutive numbers be x, x+1, and x+2.

The sum of three consecutive numbers is equal to 33.

[tex]\rm x + x+1+x+2=3n\\\\3x+3 = 3n \\\\Divided \ by \ 3 \ on \ both \ the \ sides \\\\x +1 = n\\\\x = n-1[/tex]

Therefore,

The first consecutive number is,

[tex]\rm x = n-1[/tex]

The second consecutive number is,

[tex]\rm x+1 = n-1+1 = n\\[/tex]

The third consecutive number is,

[tex]\rm x+2= n-1+2 = n+1\\[/tex]

Hence, The three consecutive numbers are n-1, n, and n+1.

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The linear equations [tex]c_{2}+c_{1}+c_{o} = 3[/tex], [tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] and [tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] can be written given the points [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex].

A quadratic function ([tex]p(x)[/tex]) is a second order polynomial of the form:

[tex]p(x) = \Sigma\limits_{i= 0}^{2} c_{i}\cdot x^{i} = c_{2}\cdot x^{2}+c_{1}\cdot x + c_{o}[/tex] (1)

Where:

To determine the value of all coefficients, we need three distinct points on plane and create a resulting system of linear equations.

If we know that [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex], then the system of linear equations is:

[tex]c_{2}+c_{1}+c_{o} = 3[/tex] (2)

[tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] (3)

[tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] (4)

The linear equations [tex]c_{2}+c_{1}+c_{o} = 3[/tex], [tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] and [tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] can be written given the points [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex].

To learn more on systems of linear equations, we kindly invite to check this verified question: https://brainly.com/question/20379472

Answer:

x = 9

Step-by-step explanation:

10 + x/3 = 13

x/3 = 13 -10

x/3 = 3

x = 3*3 = 9

Answer:

9

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 10 from both sides of the equation:

[tex]\frac{x}{3} + 10 = 13\\\\\frac{x}{3} + 10 (-10) = 13 (-10)\\\\\\\frac{x}{3} = 13 - 10\\\\\\\frac{x}{3} = 3[/tex]

Next, isolate the variable, x, by multiplying 3 to both sides of the equations:

[tex](\frac{x}{3}) * 3= (3) * 3\\\\x = 3 * 3\\\\x = 9[/tex]

~

Answer:

[tex]y = \frac{1}{8} x - 3[/tex]

Step-by-step explanation:

Formula for straight lines:

[tex]y = mx + b[/tex]

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]

Substitute b into original formula

[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]

19

Explanation:

9-3=6

(Check your work)

3+6=9

__________________________________

6÷1/3=18

(Check your work)

(6×3=18)

__________________________________

18+1=19

Therefore,

the answer is 19!

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

Answer:

Let the radius of the circumscribed circle be r.

The formula for calculating the radius r is

r

=

Δ

s

Where  

Δ

is the area of the triangle

s

is the semi-perimeter.

s

for any triangle is calculated as

s

=

a

+

b

+

c

3

Where,  

a

,

b

,

c

is the sides of the triangle

Δ

=

√

s

(

s

−

a

)

(

s

−

b

)

(

s

−

c

)

(Heron's Formula)

Plug in the values and get the answer.

Once you have the radius, you can easily find out the area of the circle.

Step-by-step explanation:

Answer:

p=2/5

p=0.4

Step-by-step explanation:

Answer:

p=2/5

Step-by-step explanation:

6p+13.5=159/10

Answer:

first line for you graph would be from 5 to 5 and the second line is -4 to 2

Step-by-step explanation:

hope this is what you needed:)

Answer:

5/9.

Step-by-step explanation:

The slope is the difference in y-values  divided by corresponding difference in x-values.

So here:

Slope = (7-2)/(10-1)

= 5/9.

Answer:

13.6 and .4

Step-by-step explanation:

3.4x4=13.6

leaving .4 left

Answer:

4 and 2 berries left over.

Step-by-step explanation:

14 divided by 3 = 4

4x3=12

14-12=2

Answer:

[tex] \frac{ - 1}{2} [/tex]

Answer:

u can use fraction calculator

Step-by-step explanation:

just go and search 'fraction calculator'

Answer: i got you my boi answer is x > -3

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

just do 5+10+12

Answer:

5.6

Step-by-step explanation:

if x is -1. multiply -0.6 * -1. Which is -0.6.

Then add -0.6 and 6.2 and the answer you would get is 5.6.

Answer: It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable

Answer:

17.5

Step-by-step explanation:

7*5/2

Answer:

i think the answer is -> "the mean can be less than the minimum data value."

Step-by-step explanation:

mean means the average and by finding the average you need to add up all your set values then divide it, so with that being said the mean will always need to be higher than the lowest data set of value.

Answer:

y = 3

Step-by-step explanation:

The triangles are congruent by AAS.

Sides 5y and 3y + 16 are congruent by CPCTC.

5y = 3y + 6

2y = 6

y = 3

63 as the product of prime numbers is 3 x 3 x 7.

The highest common factor of 63 and 105 is 21.

Prime numbers are numbers that are only divisible by one and that number. Examples of prime numbers are 5, 7, and 11.

Factors of 63 are: 1, 3, 7, 9, 21, and 63

Prime numbers that are products of 63 = 3 x 3 x 7

The factor of a number is a number that can divide another number without leaving any remainder.

To learn more about prime numbers, please check: https://brainly.com/question/4184435

Using the function graph given, it is found that:

When a piece-wise function is given, that is, a function that has multiple definitions, the numeric value at x when the definition changes is given by the closed circle.

To learn more about the use of graphs to analyze a function, you can take a look at https://brainly.com/question/21447009

Answer:

y=1/2-8

Step-by-step explanation:

slope is 1/2

-4-y=1/2(8-x)

-4-y=4-1/2

-y=-1/2+8

y=1/2-8

Answer:

The correct answers are:

A) 60 miles; and B) 3.375 hours.

Explanation:

We will use the equation d = rt for this.

For the first leg of the trip, the bird travels 20 miles per hour for x hours.  This gives us the equation

d = 20x

For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour.  He also travels 6 miles less than the return distance, for x hours:

d-6 = 16x

To isolate d, we will add 6 to each side:

d-6+6 = 16x+6

d = 16x+6

We will set the two equations equal to one another, since they both equal d:

20x = 16x+6

Subtract 16x from each side:

20x-16x = 16x+6-16x

4x = 6

Divide both sides by 4:

4x/4 = 6/4

x = 1.5

He travels for 1.5 hours both times.

The first time, 1.5 hours at 20 miles per hour is:

d = 1.5(20) = 30 miles

The original trip is 30 miles.  This makes the entire trip 30(2) = 60 miles.

On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:

24 = 16x

Divide both sides by 16:

24/16 = 16x/16

1.5 = x

If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:

24/1.5 = 30/x

Cross multiplying,

24*x = 1.5(30)

24x = 45

24x/24 = 45/24

x = 1.875

This gives him a total time of 1.5+1.875 = 3.375 hours

Step-by-step explanation:

Answer:

£650=$1053

£405=$656.1

from the scale we multiply the values of euro by 1.62

Answer:

1.) 401 dollars

2.)656 euros

Answer:

x² * -1/2,

x² + 3

Step-by-step explanation:

The first exprsession always returns a positive number for the square but ends up being negative after the multiplication no matter the inputted values. The second one is always positive.

Two expressions that will never return the same output are 2x - 1 and 2x - 3

Assume the expressions are linear functions

A linear function is represented as:

y = mx + c

For the expressions to have different outputs, both expressions must have the same slope but different y-intercepts

Take for instance 2x - 1 and 2x - 3

Hence, the two expressions that will never return the same output are 2x - 1 and 2x - 3

Read more about expressions at:

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