triangle xyz is similar to triangle abc solve for k

Answer:

StartRoot 6 x squared EndRoot + 4 StartRoot 8 x cubed EndRoot) (StartRoot 9 x EndRoot minus x StartRoot 5 x Superscript 5 Baseline)

A. 3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared + 8 x Superscript 5 Baseline StartRoot 10 x EndRoot

B. 3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot + 8 x Superscript 5 Baseline StartRoot 10 EndRoot

C. 3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 EndRoot

D. 3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 x EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 x EndRoot

The simplified product of the expression as given is; Choice A: 24x³√5x - 4x²√10x

First, we must expand the parenthesis as follows;

[tex]2 \sqrt{8 {x}^{3} } (3 \sqrt{10 {x}^{4} } - x \sqrt{5 {x}^{2} } )[/tex]

In essence; we have;

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Answer:

the list 2,6,8 is the answer

Step-by-step explanation:

Answer:

A) 348m^2

Step-by-step explanation:

you just find the area of each individual shape then and all the sides together

Answer: 35 chocolates were bought and 52 gums were bought.

Step-by-step explanation:

c + g = 87    where c is the number of chocolate and g is the number og gums

1.50c + 0.50g = 78.50    solve both equations by elimination.

-1.50c - 1.50g =  -130.5

1.50   + 0.50g = 78.50

           -1g =  -52

             g= 52

1.50c + 0.50(52) = 78.50

 1.50c + 26 = 78.50

             -26     -26

1.50c = 52.5

c = 35  

Answer:

The last 4th one is correct

Answer:

7x² + 2x + 1

Step-by-step explanation:

(x² - 5x - 2) - (-6x² - 7x - 3)

Now, combine your like-terms together...

(x² - (-6x²)) + (- 5x - (-7x)) + (- 2 - (-3))

7x² + 2x + 1

Answer:

so y=6x+43

Step-by-step explanation:

Slope is 6, so using y=mx+b

1=6(-7)+b, b = 43

so y=6x+43

Answer:

hope this helps

Answer:

The largest pizza is Rectangular Pizza .

Step-by-step explanation:

In order to know which pizza is the largest you have to find the area for each shape using the formulas :

Rectangular pizza,

[tex]area = length \times width[/tex]

Let length = 8 inches,

Let width = 16 inches,

[tex]area = 8 \times 16[/tex]

[tex]area = 128 \: \: {inches}^{2} [/tex]

Circular pizza,

[tex]area = \pi \times {r}^{2} [/tex]

Let r = 5 inches,

[tex]area = \pi \times {5}^{2} [/tex]

[tex]area = 25\pi[/tex]

[tex]area = 78.5 \: \: {inches}^{2} [/tex]

Triangular pizza,

[tex]area = \frac{1}{2} \times base \times height[/tex]

Let base = 14 inches,

Let height = 10 inches,

[tex]area = \frac{1}{2} \times 14 \times 10[/tex]

[tex]area = \frac{1}{2} \times 140[/tex]

[tex]area = 70 \: \: {inches}^{2} [/tex]

Answer:

calculator

Step-by-step explanation:

calculator

Answer:

a)-2000

b)-2500

Step-by-step explanation:

Given:

W(t) = 100(t-15)²

applying derivation on both sides

W'(t) = 200(t-15)

->a) At what rate is the water running out at the end of 5 minutes?

Evaluating at t=5

W'(5)= 100(5-15) =>200(-10)

W'(5)=-2000

->b) What is the average rate at which the water flows out during the first 5 minutes?

[tex]\frac{W(5)-W(0)}{5-0} =\frac{100(5-15)^2*100(0-15)^2}{5} =>\frac{10000-22500}{5}[/tex]

=>-2500

Answer:

The range is all values greater than or equal to -1

y : y≥-1

Step-by-step explanation:

f(x)=(x-4)(x-2)

This functions is an upwards facing parabola.  This means it has a minimum

The minimum is 1/2 way between the zeros

0=(x-4)(x-2)

x-4 =0   x-2 =0

The zeros are at 4 and 2

(4+2)/2 = 6/2 =3

The minimum is at x=3

The minimum value is at

f(3) = (3-4) (3-2) = -1 (1) =-1

The range is all values greater than or equal to -1

y : y≥-1

Answer:

Range: y 》-1

Step-by-step explanation:

f(x) = (x - 2)(x - 4)

f(x) = x² - 2x - 4x + 8

f(x) = x² - 6x + 8

f(x) = x² - 2(x)(3) + 3² - 3² + 8

f(x) = (x - 3)² - 1

Vertex: (3,-1)

Minimum value: -1

Range: y 》-1

Answer: (-2, -1)

Step-by-step explanation: Since these lines are already graphed, we are looking for their point of intersection. This point where the two lines intersect will represent the x and y that is the solution to this system of equations.

The two lines intersect in quadrant III

where x and y are both negative.

When finding the coordinates of a given point,

be very careful with your signs.

Let's just do a quick review on the coordinate system. On the x-axis, left means negative and right means positive and on the y-axis, down means negative and up means positive.

So to find the coordinates for this point, we start at the origin.

Then we move to the left 2 and down 1 so that's (-2, -1).

So the solution to this system is (-2, -1).

We can write this as:

3 books / 1 week

This tells us that Sanjit reads 3 books per week.

Let's say he read for 3 weeks, we would multiply to find the number of books he read.

3 * 3 = 9 books

So, Sanjit can read 3 books in 1 week.

Best of Luck!

Answer:

3 books/1 week

Step-by-step explanation:

3 books

------------

1 week

Answer:

21/25 = 84% 84% is the largest out of them all in a percentage number.

Answer:

number of games played is 5

number of rides road 8

Step-by-step explanation:

8 x 2.25=18

5 x 1.25=6..25

18 + 6.25=24.25

The number of games Sydney played is 5 and the number of rides Sydney went on is 8.

Linear equation is the type of equation with highest power 1.

Assume the number games Sydney played be x. So, the number of rides she went is x+3.

The cost of 1 game is $1.25. So, the cost of x games will be 1.25x.

The cost of 1 ride is $2.25. So, the cost of x+3 rides will be 2.25(x+3).

The total cost is $24.25. Formulate the linear equation and solve it.

1.25x+2.25(x+3)=24.25

1.25x+2.25x+6.75=24.25

3.5x=17.5

x=5

Substitute x=5 into x+3.

5+3=8

Thus, the number of games Sydney played is 5 and the number of rides Sydney went on is 8.

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Answer:

a) radius = 6.9288 units

b) OP = 13.857 units

Step-by-step explanation:

a)

As PA is tangent to the circle, the angle OAP is 90°, and if the angle of the arc AR is 60°, the angle AOP is also 60°.

So we can find the angle APO with the sum of internal angles of the triangle AOP:

90 + 60 + APO = 180

APO = 30°

Now, we can find the radius AO using the tangent relation of the angle APO, where the opposite side is the radius AO and the adjacent side is AP:

tangent(30) = AO / AP

0.5774 = AO / 12

AO = 0.5774 * 12 = 6.9288 units

b)

To find the length of OP, we can use the Pythagoras' theorem in the triangle AOP:

OP^2 = AO^2 + AP^2

OP^2 = 6.9288^2 + 12^2 = 192.01

OP = 13.857 units

Answer:

x= 1 7/12

Step-by-step explanation:

x+1/2+x+2/3-x+3/4=2

1. We know that x+x-x=x

2. 1/2+2/3-3/4=6/12+8/12-9/12=5/12

3. x+5/12=2

4. x=2-5/12

x=1 7/12

Answer:

x = 1/12

Step-by-step explanation:

x+x-x = x

1/2 + 2/3 + 3/4 = 23/12

both of the above are:

23/12 +x = 2

x= 2 - 23/12

x= 1/12

b is two fifths of c, so we make this a ratio with c = 1.

The ratio of b:c is 2/5 : 1

We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,

so we get the ratio of a to c as 3/4 : 1

Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:

3 : 8/5 : 4

Now multiply the 3 numbers by 5 to remove the denominator  of 5 in b:

15 : 8 : 20

Now we can check using the equations:

b is 2/5 of c:  20 x 2/5 = 40/5 = 8 This is true.

4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.

The ratios is 15 : 8: 20

Answer:

2.5

Step-by-step explanation:

2/3 *(3+3/4)=2.5

Answer:

[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex] or 2.5

Step-by-step explanation:

[tex]\frac{2}{3}*3\frac{3}{4}[/tex]

Convert [tex]3\frac{3}{4}[/tex] to an improper fraction. You can do this by multiplying the whole number by the denominator and add the numerator; all of this over the same denominator.

[tex]3\frac{3}{4}=\frac{3*4+3}{4} =\frac{12+3}{4} =\frac{15}{4}[/tex]

Now work it out.

[tex]\frac{2}{3}*\frac{15}{4}=\frac{30}{12}=\frac{15}{6}=\frac{5}{2}[/tex]

In case you need a mixed number as the answer, we can convert from improper fraction to mixed number.

5/2=2

4

----

1

the 2 after the equal sign is the big number, the 1 is the numerator and the 2 before the equal sign in the denominator.

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

Answer: help me with my questions

Step-by-step explanation:

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Answer:

The constant is 5 and the coefficient is 3.

Step-by-step explanation:

The constant is something that does not change, which would be 5 because it stays 5 no matter what.

The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.

I hope this helps! :)

Answer: area =45   perimeter=28

Step-by-step explanation:    height is 9, length is 5   5x9 =45

9+9+5+5= 28

Answer:

15m

Step-by-step explanation:

When Ana is diving the time=0 therefore just substitute x=0 into h(x) and it will give you 15m

Answer:

y = 2/3x + 2/3

Step-by-step explanation:

just substitute every known value into the parent function on a linear function

y = mx +b

-4 = 2/3(-7) +b

now solve for b (the y-intercept)

-4 = -14/3 + b

-12/3 = -14/3 + b ( made it to same denominator)

2/3 = b

Step-by-step explanation:

Putting values of x and y.

5(6) / 3(-4) + 6

30 / - 12 + 6

10 / - 4 + 6

5 / - 2 + 6

= 3.5

Answer:

0.33

Step-by-step explanation:

0.8 of 5 is 0.32768 which rounds to 0.33. Thus, the value of x of 0.33

Answer:

Step-by-step explanation:

well i just dont know whats going on but just times the number of songs times the Genre.

Answer:

448

Step-by-step explanation:

just because

Answer:

I think it is b

Step-by-step explanation:

let me know what the outcome is