Given r,s,t are midpoints of AC,AB, and CB use the figure below to complete the following problem

Answer:

Option (1).

Step-by-step explanation:

Given  functions are f(x) = [tex]\frac{1}{x}[/tex] and g(x) = x - 2

(fog)(x) = f[g(x)]

By substituting g(x) in place of x in the function f(x),

f[g(x)] = [tex]\frac{1}{(x-2)}[/tex]

Graph of the function f[g(x)] will have,

Vertical asymptotes : x = 2

Horizontal asymptotes : y = 0

And no oblique asymptotes.

Out of four options graph number (1) matches the given characteristics of the function.

Therefore, graph (1) will be the answer.

Answer:

a

Step-by-step explanation:

100n^2 = (10n^2)

-1 = -(1^2)

Answer:

So we can ignore the endings because they all have to same endings. We know that 10^2 = 100 We see only 2 answers that have that a and b. But we also need to get the n to the power. So we power each number in the parenthesis by 2. Only A lets you power both 10 and n at the same time.

Answer:

The answer is B

Step-by-step explanation:

Answer:

(8-5)/(7-2)= 3/5

Step-by-step explanation:

proper fraction

Answer & Step-by-step explanation:

(5√2 - 4√3)(5√2 - 4√3)

We can rewrite this equation into a more simpler form.

(5√2 - 4√3)²

Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.

When you multiply a radical by itself, then the base number will be by itself as the product.

So......

(5)² = 25

(4)² = 16

(√2)² = 2

(√3)² = 3

So, now the equation looks like this..

(25 * 2) + (16 * 3)

Multiply the terms.

50 + 48

Add the numbers.

50 + 48 = 98

So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.

Answer:

Answer number one, x < 7/12

Answer:

A

Step-by-step explanation:

If you make he denominators equal to each other (in this case 12) the new fractions would be 3/12 and 10/12. Then you would subtract 3/12 from both sides making 7/12 on the right side. The inequality remains facing the same direction, making the answer A or x<7/12.

Answer:

6x+3

Step-by-step explanation:

8x+7-2x-4

Combine like terms

8x -2x   + 7-4

6x            +3

Answer:

35 and 21

Step-by-step explanation:

the sum of the two lengths of two sides must be greater than the length of the third side.

10+30=40

45 doesn't work: 40<45.

10+19=29

29<30

19 doesn't work

10+21=31

31>30

21 works

35+10=45

45>30

35 also works

Answer:

35 and 21, good luck!! sorry I'm late

Answer:

Left side simplifies to (-2/3)^1 and the right side simplifies to (-2/3)^(-n) which means 1 = -n so n = -1.

Answer:

Yes they are equal. Hkama d d jans ans

Answer:

-5/3

Step-by-step explanation:

Answer:

[tex] \frac{ - 300}{49} [/tex]

or -6.122

Step-by-step explanation:

In answering this kind of questions, you must take note of BODMAS. that is;

B - Bracket

O - Of (multiplication)

D - Division

M - Multiplication

A - Addition

S - Subtraction

and you have to answer by the order above to get the correct answer. thank you

hope it helps .

Answer:

-6 176/189

Step-by-step explanation:

-8÷+12×9-4×6÷56÷7×2​=

-8÷108- 24÷56÷14=

-2/27-24×14÷56=

-2/27- 48/7=

-7 + 1/7- 2/27=

-7 + (27-14)/27*7=

-7+ 13/189=

-6 176/189

Answer:

27/35 is the exact answer

7/10 is an estimate

Step-by-step explanation:

4/7+2/10

Simplify the fraction

4/7+1/5

The common denominator is 35

4/7*5/5 + 1/5 *7/7

20/35 + 7/35

27/35

To estimate

4/7 is close to 1/2  

2/10 is close is 1/5

1/2 + 1/5 =

5/10 + 2/10 = 7/10

Answer:

d) [tex](\sqrt[8]{(10} )^{3 x}[/tex]

Step-by-step explanation:

Step(i):-

Given   [tex](\sqrt{10} )^{\frac{3 x}{4} }[/tex]

we will use formula

  [tex](a)^{m n} = (a^{m} )^{n}[/tex]

[tex](\sqrt{10} )^{\frac{3 x}{4} } =( (10)^{\frac{1}{2} } )^{\frac{3 x}{4} }[/tex]

              = [tex]( (10)^{\frac{1}{2} X\frac{3 x}{4} } )[/tex]

             = [tex]( (10)^{\frac{3 x}{8} } )[/tex]

            = [tex]((10)^{\frac{1}{8} } )^{3x}[/tex]

Step(ii):-

  we will  apply [tex](a)^{\frac{1}{n} } = \sqrt[n]{a}[/tex]

           = [tex](\sqrt[8]{(10} )^{3 x}[/tex]

Answer:

[tex]=-\left(3x-1\right)\left(x-3\right)[/tex]

Step-by-step explanation:

[tex]10x-3-3x^2\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(3x^2-10x+3\right)\\\mathrm{Factor}\:3x^2-10x+3:\quad \left(3x-1\right)\left(x-3\right)\\3x^2-10x+3\\\mathrm{Write\:in\:the\:standard\:form}\:ax^2+bx+c\\=3x^2-10x+3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(3x^2-x\right)+\left(-9x+3\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}3x^2-x\mathrm{:\quad }x\left(3x-1\right)\\3x^2-x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=3xx-x[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x\\=x\left(3x-1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-9x+3\mathrm{:\quad }-3\left(3x-1\right)\\-9x+3\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\=-3\cdot \:3x+3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(3x-1\right)\\=x\left(3x-1\right)-3\left(3x-1\right)\\\mathrm{Factor\:out\:common\:term\:}3x-1\\=\left(3x-1\right)\left(x-3\right)\\=-\left(3x-1\right)\left(x-3\right)[/tex]

Answer:

2.7 x 10⁻³

6.1 x 10⁵

9.582 x 10⁶

Step-by-step explanation:

The first digits part should be more or equal 1 and less 10

Answer:

Step-by-step explanation:

B c and d

Answer:

a) 17, 29, 41, 53, 65....

b) 12n + 5

Answer:

Some examples of integers are -1, 0, and 1.

[tex] \dfrac{126}{21} = \dfrac{2 \times 3 \times 3 \times 7}{3 \times 7} = 6[/tex]

Answer: 6

A wheel is a circle.

Given diameter of wheel = 2.8 m

Then radius of the wheel = 2.8/2 = 1.4 m

Now we know that , circumference of circle =[tex]2\pi r[/tex]

Circumference of wheel = 2 × 22/7 × 1.4

Circumference of wheel = 8.8 m

From the above we can conclude that ;

1 revolution = 8.8 m

x revolution = 484 km = 484000 m

[tex]x = \frac{1}{8.8} \times 484000 \\ \\ x = 55000[/tex]

Answer: 50 pairs.

Step-by-step explanation:

For each pair of earrings, Joshua spends $0.29 + $0.11 in materials.

So he spends $0.40 for each pair of earrings.

If he has $20, we want to know how many times he can spend $0.40.

For this, we take the quotient:

$20/$0.40 = 50

This means that we can sperate $20 into 50 times $0.40.

So he can buy enough material to make 50 pairs of earrings.

Answer:

k=30

Step-by-step explanation:

The number of mice vary inversely with cats. This is written as:

[tex]Mice \propto \dfrac{1}{Cat} \\Mice = \dfrac{k}{Cat}[/tex]

When there are 3r-19 cats, there are 2r+1 mice

[tex]2r+1 = \dfrac{k}{3r-19}\\$Cross multiply$\\k=(3r-19)(2r+1)[/tex]

When there are 6r-27 mice, there are r-5 cats.

[tex]6r-27 = \dfrac{k}{r-5}\\$Cross multiply$\\k=(6r-27)(r-5)[/tex]

Taking the values of k above, we have:

[tex]k=(3r-19)(2r+1) =(6r-27)(r-5)\\(3r-19)(2r+1) =(6r-27)(r-5)\\6r^2+3r-38r-19=6r^2-30r-27r+135\\$Collect like terms\\6r^2-6r^2+3r+30r-38r+27r-19-135=0\\22r-154=0\\22r=154\\$Divide both sides by 22\\r=7[/tex]

Therefore:

[tex]k=(3r-19)(2r+1) \\=(3*7-19)(2*7+1)\\=(21-19)(14+1)\\=2*15\\k=30[/tex]

Answer:

The relationship between the angles is alternate exterior angles.

Step-by-step explanation:

Exterior means outside.

Alternate means every other or in this case across form each other.

These angles represent alternate exterior angles because they are on the outside of the transversal and they are alternating each other.

Answer:

Section A

Volume of the cylindrical tool = 1413.72cm³

Section B

1) Curved Surface Area of the right circular cone = 251.33cm²

2) Volume of the right circular cone = 402.12cm³

Step-by-step explanation:

Section A

We are asked to find the volume of the cylindrical moulding tool.

Volume of a cylinder = πr²h

From the question, the cylindrical tool had a diameter of 10cm. This means the radius of the tool = Diameter ÷ 2 = 10cm ÷ 2 = 5cm

The height of the cylindrical tool = 18cm

Volume of the cylindrical tool = π × (5cm)² × 18cm

1413.7166941cm³

Approximately = 1413.72cm³

Section B

The height of a right circular cone is 6cm and its radius is 8cm.

1) Calculate its curved surface area.

The formula for the curved surface area of a right circular cone =

πrl

r = radius = 8cm

h = height = 6cm

l = √(r² +h²) = √(8² + 6²) = √100

l = 10cm

The curved surface area = πrl

= π × 8cm × 10cm

= 251.33cm²

2) Calculate the volume of the cone.

The formula for the volume of a cone=

1/3πr²h

radius (r) = 8cm

height (h) = 6cm

1/3πr²h

1/3 × π × 8² × 6

= 402.12cm³

Answer:

C

Step-by-step explanation:

Substitute the x- coordinate into f(x) and if the value is equal to the y- coordinate of the point then the point is on the graph.

A (0, 18)

f(0) = 3 × [tex]6^{0}[/tex] = 3 × 1 = 3 ≠ 18 ← not on graph

B (18, 1 )

f(18) = 3 × [tex]6^{18}[/tex] ≠ 1 ← not on graph

C  (1, 18 )

f(1) = 3 × [tex]6^{1}[/tex] = 3 × 6 = 18 ← on the graph

D (0, 0 )

f(0) = 3 × [tex]6^{0}[/tex] = 3 × 1 = 3 ≠ 0 ← not on graph

Answer:

Original figure: (-6,-5)

final figure: (-6, 5)

Step-by-step explanation:

the point would fall at (-6, 5) because it is reflecting across the x-axis (the horizontal one) and since it is the original point is 5 away from the x-axis, the final point would be at 5 as well. the y-coordinate doesn't change because it is only reflecting over the x-axis. the shape would essentially be flipped if you reflected it over the x-axis, so the point would be on the bottom of the figure instead of the top. Hope this helps I tried my best to explain!

Answer:

Infinitely many solutions

Step-by-step explanation:

Since you already have y isolated in one equation, you can plug it in and use it in the other equation

2y = 8x + 12

2(4x + 6) = 8x + 12

8x + 12 = 8x + 12

Get the x's to one side

12 = 12

Meaning you have infinitely many solutions.

Try plugging in any x value you can think of and the left side will always equal the right side. so

x = 0 --> 8(0) + 12 = 8(0) + 12

12 =12

x = 1 --> 8(1) + 12 = 8(1) + 12

20 = 20

and so on.

I graphed it here for you and the 2 functions are on top of each other which means at every x value y = 4x + 6 is equal to 2y = 8x + 12

Answer:

Range={ -5,-1,3,7). [ option C]

Please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment..