Describe a set of transformations that would map Red Triangle to the Blue Triangle.

Answer:

0

Step-by-step explanation:

(x,y)      slope is change in y / change in x⇒  Δy/Δx

(6,2)

(-18,2)

Δy = 2-2 = 0

Δx = 6-(-18) = 24

because the y values are the same, when you subtract you a slope of 0/24 or just 0 a horizontal line (because y is always =2)

The circle is an illustration of tangent and secant lines, and the length of FE in the circle is 9.3 units

The lengths are given as:

Start calculating the length DF using:

DE * DF = CD²

So, we have:

12 * DF = 16²

Evaluate the exponent

12 * DF = 256

Divide both sides by 12

DF = 21.3

The length FE is then calculated using:

DF = FE + DE

Substitute DE = 12 and DF = 21.3

21.3 = FE + 12

Subtract 12 from both sides

FE = 21.3 - 12

Evaluate the difference

FE = 9.3

Hence, the length of FE in the circle is 9.3 units

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Answer:

1 and 25, 5 and 5

Step-by-step explanation:

because both 5×5=25 and 1×25=25 and 1×5=5 are all equal factor pairs of 25.

Answer:

Step-by-step explanation:

Let the goldfish be G.

• Let the betta fish be B.

Given the following data:

• Total number of fishes = 150 fishes.

• Ratio of G to B = 2:3

• Total ratio= 2 + 3 = 5

To calculate the number of goldfish that the pet store have:

What is ratio?

Ratio can be defined as an expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

Mathematically, the number of goldfish in the pet store is given by this expression:

2 G = x 150 5

G = 0.4 x 150

G = 60 fishes.

The mark up price of the shoe would increase the final price

The given parameters are:

The final price is calculated using:

Final = Cost * (1 + Mark up)

This gives

Final = 245* (1 + 5.75%)

Evaluate

Final = 259.0875

Hence, the final price of the shoe is $259.0875

In (a), we have:

Final = 259.0875

Given that the tax is 5 3/4%, the final price after tax would be

After tax = Final * (1 + Tax)

So, we have:

After tax = 259.0875 * (1 + 5 3/4%)

Evaluate

After tax = 273.98503125

Hence, the final price of the shoe after tax is $273.98503125

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Answer:

y = -1/4x + 1

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

The y-intercept of the line is 1, so in slope-intercept form, b will be 1.

Now, the line also intersects the y-axis at (4, 0). We can plug these two points into slope formula to find the slope: (0-1)/(4-0) = -1/4.

Therefore, the equation of the line is y=-1/4x + 1

The probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The number of times the experiment was done is 37 (15+14+8). The number of times apple chew came as a result of the experiment is 14, while the number of times peach chew came as a result of the experiment is 15. Therefore, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is

[tex]\rm Probability = \dfrac{\text{Number of times apple chew or peach chew was selected}}{\text{Total number of times experiment was performed}}\\\\\\Probability = \dfrac{14+15}{37} = \dfrac{29}{37}[/tex]

Hence, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).

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Answer:

2?

Step-by-step explanation:

Answer:

56n thats what ben said

Step-by-step explanation:

hohoho corent answer

The length of the diagonal brace when Jonathan is building a box in the shape of a rectangular prism is 17 inches.

From the information given, the dimensions are given as 8 inches by 12 inches by 9 inches.

Therefore, the length of the diagonal brace will be:

= ✓12 + ✓8 + ✓9

= ✓289

= 17

In conclusion, the correct option is 17 inches.

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Answer:

6,597 cups

Step-by-step explanation:

y=0.9x x=7,330 7,330 x 0.9= 6,597

Answer:

x=13

Step-by-step explanation:

Side Splitter Theorem states that If a line is parallel to one side of a triangle and intersects the other two sides, it divides both sides proportionally.

21/14 =1.5

6x1.5 = 9

x-4=9

x=13

Answer: 3 inches

Step-by-step explanation:

Answer:

1200 dollars

Step-by-step explanation:

x-0.16x=1008

.84x=1008

x=1200 dollars

Answer:

Every third student who enters each homeroom

Step-by-step explanation:

This would produce the least biased results as every third student gives a 3/x for students and there are y homerooms, giving the least biased results.

The equation that models the number of female eastern bluebirds observed, b,  and t, the total number of eggs laid is t = 5b

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

y = mx +c

To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.

Let we take:

b = the number of female eastern bluebirds observed

t = the total number of eggs laid

Since the relationship between b and t is forming a line, so it can be modeled by linear equation.

Here, we take 'b' as independent variable,  and the value of 't' depending on the value of 'b', and therefore, let the linear equation representing them is:

[tex]t = mb + c[/tex]

For this case, we see that as the number of female eastern bluebird is increased by 1, half of 10 units (which is 5 units) is increased in the total number of eggs laid.

Thus, as we increase 'b' by 1 unit, there is increase by 5 units in the value of 't'.

and therefore, we get: m = increment in dependent variable per unit increment in independent variable = 5

Thus, the equation is:

[tex]t = 5b + c[/tex]

At b = 1, the number of eggs laid is 5, or t = 5, therefore, putting these values in the equation, we get:

[tex]5 = 5(1) = c\\c = 5-5=0[/tex]

Thus, the relation between t and b is t = 5b + 0= 5b

Thus, the equation that models the number of female eastern bluebirds observed, b,  and t, the total number of eggs laid is t = 5b

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Answer:  I'm pretty sure the measure is 122 degrees

Step-by-step explanation:

Answer:

C. m<1 = 82.5 m<2 = 97.5

Step-by-step explanation:

Answer:

A translation and then a reflection

Step-by-step explanation:

A translation of 5 to the left, and then a a reflection across the x axis.

Answer:

The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let d represent the length of the diagonal, Usinng Pythagoras:

d² = 22² + 22²

d = 31 feet

Using trigonometric identity:

sin(45) = 22/d

d = 31 feet

The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.

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Step-by-step explanation:

Answer:

C. m=1/2 and b=-4

Step-by-step explanation:

To get the slope-intercept notation, you have to convert Ax+By = C to y = mx + b. We can do that by simply moving y to the left side and the rest to the right, or simply use the formula of m = -A/B, b = C/B

We'll do both, they're the same really.

x-2y=8

x-8=2y

2y=x - 8

y = 1/2*x - 4

Alternatively

x-2y=8

A = 1

B = -2

C = 8

m = -(1/-2) = 1/2

b = 8/-2 = -4

Answer:

the answer is C

Step-by-step explanation:

We will see that the cube must be 10.23 inches tall.

The volume of the cube must be equal to the volume of the 4 spheres. Remember that the volume of a sphere of radius R is:

V = (4/3)*3.14*R^3

In this case, the radius is 4 inches, so we can write:

V = (4/3)*3.14*(4 in)^3 = 267.95 in^3

Then the volume of the 4 spheres is:

4*267.95 in^3 = 1,071.79 in^3

The volume of a cube of side length S is given by:

V = S^3

Then we must have:

S^3 = 1,071.79 in^3

S = ∛(1,071.79 in^3) = 10.23 in

We conclude that the cube is 10.23 inches tall.

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Answer:

D. Industrialization cause of poverty.

Answer:

720, 5040

Step-by-step explanation:

It's always times plus 1. So,
1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5040

Answer:

father = 32    s = 5 y/o

Step-by-step explanation:

f s = 160  ====>   s = 160/f

f+4 = 4 ( s+4)  

f + 4 = 4 (160/f +4)

f + 4 = 640/f + 16

f^2 + 4f = 640 + 16 f

f^2 -12f - 640 = 0      Use Quadratic formula to find  f =  32   then s = 5

     [tex]I=\displaystyle \int \dfrac{\sqrt x}{\sqrt x -4} ~dx\\\\\text{Let,}\\\\~~~~u=\sqrt x-4\\\\\implies \dfrac{du}{dx} = \dfrac d{dx} \left( \sqrt x -4 \right)\\\\\implies \dfrac{du}{dx} = \dfrac 1{2 \sqrt x} \\\\\implies dx =2\sqrt x~ du\\\\\\I= \displaystyle \int \dfrac{u+4}{u+4 -4 } 2(u+4) du\\\\\\~~~=2\displaystyle \int \dfrac{(u+4)^2}{u} du\\\\\\~~~=2\displaystyle \int \dfrac{u^2+ 8u+16}{u} du\\\\\\~~~=2\displaystyle \int \left(u+8+\dfrac{16}u\right) du\\\\\\[/tex]

    [tex]~~~=2\left(\displaystyle \int u ~ du + \displaystyle \int 8 ~ du + \displaystyle \int \dfrac{16} u ~ du\right) \\\\\\~~~=2\left( \dfrac {u^2}2 + 8u+16\ln |u| \right) +C\\\\\\~~~~= u^2 + 16u+ 32 \ln |u|+C\\\\\\~~~~=\left( \sqrt x -4 \right)^2 + 16\left( \sqrt x -4 \right) +32 \ln |\sqrt x -4|+C\\\\\\~~~~= x-8\sqrt x+16 +16\sqrt x -64 +32 \ln \left|\sqrt x-4 \right|+C\\\\\\\~~~~=x+8\sqrt x -48 +32\ln|\sqrt x -4| +C[/tex]

Answer:

f(g(x)) = =2(-x^2+5)-3

=-2x^2+10-3

=-2x^2+7

Sorry, I'm not sure about g(f(x)).

Step-by-step explanation:

f(g(x))=f(-x^2+5)=2x-3

=2(-x^2+5)-3

=-2x^2+10-3

=-2x^2+7

Answer:

Step-by-step explanation:

Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the y-axis and time on the x-axis. The slope will be 2.2 at every point along her bike ride.

Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5