Find distance of each

Answer:

-1(2+x)

Step-by-step explanation:

in the initial equation the -1 was distributed, this answer creates a product (multiplication). -1(2+x)= -2-x

Answer:

(-1)·2+(-1)·ₓ = -1 (2+x)

Step-by-step explanation:

distributive property: ab +ac = a(b+c)

in this case a=-1, b =2, c =x so

(-1)·2+(-1)·ₓ = -1 (2+x)

Answer:

x = 9

Step-by-step explanation:

Given

3x - [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] ( add [tex]\frac{1}{5}[/tex] to both sides

3x - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] + [tex]\frac{1}{5}[/tex] = [tex]\frac{125}{5}[/tex] = 25 ← combine x- terms on left side

[tex]\frac{25}{9}[/tex] x = 25 ( multiply both sides by 9 )

25x = 225 ( divide both sides by 25 )

x = 9

Answer: 27 miles in 1 gallon

Step-by-step explanation:

297/11

The unit rate of 297 miles in 11 gallons will be 27 miles/gallons.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b, will be the denominator.

We will be used when division is not possible wholly

For example 4/2 is divisible so we write 2 instant of 4/2 while 1/3 is not divisible so we write 1/3 instant of 0.33.

Proportion is the relation of a variable with another. It could be direct or inverse.

The ratio is very useful to determine complex calculation where decimal number become tough to solve.

Given,

297 miles in 11 gallons

297 miles ⇔ 11 gallons

Divide by 11 on both sides

297/11 miles ⇔ 11/11 gallons

27 miles ⇔ 1 gallon

So, 27 miles in 1 gallon.

Hence unit rate is 27 miles/gallon will be correct.

For more information about ratio and proportion

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Answer:

[tex](x+2)(x-3)[/tex]

Step-by-step explanation:

[tex]x^2-x-6[/tex]

[tex]x^2-3x+2x-6[/tex]

[tex]x(x-3)+2(x-3)[/tex]

[tex](x+2)(x-3)[/tex]

Answer:

(x-3) (x+2)

Step-by-step explanation:

I just got the question right on the exam!

Answer:

1.1

Step-by-step explanation:

7.2-6.1

Answer:

A

Step-by-step explanation:

Hyperbolic geometry is defined as a non-Euclidean geometry.

(invalidating the fifth postulate of Euclid's five fundamental postulates)

Choice B and D can be eliminated because this has nothing to do with perpendicular lines.

Choice C should be eliminated as well since that's exactly the fifth postulate of Euclid's five fundamental postulates

We are left with A by the process of elimination

Answer:

A. There are an infinite number of lines parallel to a given line through a given point.

Hope this Helps!

Answer:

Step-by-step explanation:

yes, since that are 2 points:

y-int is (0, y)

x-int is (x, 0)

since you need only two points for a function with no restrictions, we can use y and x intercepts as points

Answer: 24 hours

Step-by-step explanation:

You multiply 30 by 4/5, since this is inverse.

If it took 4 bricklayers to build a brick wall in 30 hours, then it would 24 hours for 5 bricklayers to build a brick wall.

The amount of time is reduced down to 4/5 of the first time because there are now 5 bricklayers instead of four.

Answer:

It would take 24 hours for 5 bricklayers to build a wall.

Step-by-step explanation:

We can deduce the number of hours the bricklayers needed to build a wall because they are inversely proportional.

In other words, more bricklayers will result in fewer work hours.

4 bricklayers × 30 hours = 120 bricklayers hours

120 bricklayers hours / 5 bricklayers = 24 hours

Therefore, it would only take 24 hours for 5 bricklayers to build a wall. (Which is 6 hours faster since one person joined the workforce to help the others).

I hope this helps!

Answer:

[tex] \frac{15}{13} [/tex]

Step-by-step explanation:

gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

Thus, slope of line

[tex] = \frac{14 - ( - 1)}{13 - 0} \\ = \frac{14 + 1}{13} \\ = \frac{15}{13} [/tex]

Answer:

i believe it is b

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

Answer:

r=12.5

Step-by-step explanation:

V=2/3πr³

V=1300π m³

r=?

r=3√(3*1300π/2)

r=12.49

Answer:

13 ounces

Step-by-step explanation:

Since the package ended up costing $5.81, we subtract the starting cost of 6 ounces, which is $4.90.

We end up with $0.91. Since each additional ounce is $0.13, we divide 0.91 by 0.13.

This gives us seven, which is the amount of additional ounces. Since Mrs. Washington paid 4.90 for the first six ounces and then there were an additional 7 ounces, we add 6 plus 7.

The answer is 13 ounces. Hope this helps!

Answer:

8 degrees

Step-by-step explanation:

Hope this helps!

Answer:

8 Degrees

Have a nice day!

Answer:

[tex]12.57units^2[/tex]

Step-by-step explanation:

[tex]\\A=1/4\pi r^2\\=1/4\pi 4^2\\=4\pi \\4\pi =12.56637\\12.57units^2[/tex]

Answer:

12.57

Step-by-step explanation:

Answer:

10 x^4 - 8x^5

Explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order. Ex. ax^2+ax+c

Then you would simplify

−2 x−5(x^2x^2)−2x4(x^2x^3)

Simplify each term

= 10 x^4 - 8x^5

Answer:

The relationship is not proportional.

Step-by-step explanation:

To see if many ratios are (fair in amount, related to something else/properly sized compared to something else), you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have (fair in amount, related to something else/properly sized compared to something else) ratios.

y/x=c.o.p

c.o.p=constant of proportionality.

the rate of change also know as the constant of (fair in amount, related to something else/properly sized compared to something else)ity (k = y/x) which is the constant ratio between two (fair in amount, related to something else/properly sized compared to something else) amounts y/x represented by the symbol k which may be a positive clear and sensible number. The x value is related to the y value such as in the equation y = kx.

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Answer: 4.97 ft

Step-by-step explanation:

h = V / pi r^2

h = 250 / 3.14 x 4^2

Answer: The correct answer is B or Team C scored 307 points.

Step-by-step explanation:

Answer:

Choice B. Team C scored 307 points.

Step-by-step explanation:

Team B scored 227 points.

Choice A:

Team A: 2b - 5 = 2(227) - 5 = 454 - 5 = 449

Choice A is false.

Choice B:

Team C: b + 80 = 227 + 80 = 307

Choice B is true.

Choice C:

2 * 307 = 614

614 is not the same as 449.

Choice C is false.

Choice D:

The sum of the points is given as 983.

Choice D is false.

Answer: Choice B. Team C scored 307 points.

Answer:

4)

Step-by-step explanation:

When triangles are similar, their corresponding angles are congruent. So, it is not 1) and 2).

Areas ratio is squared to ratio of their sides, so it is not 3).

Perimeter is sum of the sides. All  corresponding sides in similar triangles have the same ratio. So, answer is 4).

The ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1

"Two triangles are similar when their corresponding sides are in proportion to each other and corresponding angles are equal."

"It is the comparison of two quantities of the same kind."

For given question,

ΔABC is similar to ΔDEF.

⇒ [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]

And ∠A = ∠D, ∠B = ∠E, ∠C = ∠F

We know, if two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

⇒ [tex]\frac{area~of~\Delta {ABC}}{area~of~\Delta DE F} =(\frac{AB}{DE})^2 = (\frac{BC}{EF})^2 = (\frac{AC}{DF})^2[/tex]

We know, the perimeters of the similar triangles are in the same ratio as the sides.

[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]

The ratio of the length of AB to the length of DE is 2:1

[tex]\Rightarrow \frac{AB}{DE} = \frac{2}{1}[/tex]

[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{2}{1}[/tex]

Therefore, the ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1

Learn more about similar triangles here:

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Answer: $0.07 per unit

Step-by-step explanation:

4.25/64

Answer:

0.07

Step-by-step explanation:

divide

Answer:

B. The graph of g(x) is the graph of f(x) shifted to the left '6' units

Step-by-step explanation:

Type of transformation                                   change to co-ordinate point

Vertical translation up 'd' units                          (x ,y) changes to (x , y+d)

Vertical translation down 'd' units                    (x ,y) changes to (x , y-d)

Horizontal translation left 'c' units                    (x ,y) changes to (x-c , y)

Horizontal translation Right 'c' units                  (x ,y) changes to (x+c , y)

Given f(x) translation left 'c' units                       f(x) changes to f(x-c)

Given f(x) translation right 'c' units                     f(x) changes to f(x+c)

Given  Function f(x) = 10 ˣ

The given graph  f(x) translation left '6' units

g(x) = f(x -6) = [tex]10^{x-6}[/tex]

Final answer:-

The graph of g(x) is the graph of f(x) shifted to the left '6' units

g(x) = f(x -6) = [tex]10^{x-6}[/tex]

Answer:

D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.

Step-by-step explanation:

Use GeoGebra to graph those two function

f(x) = 10^x

g(x) = 10^(x-6)

Answer:

B. (6, 5)

Step-by-step explanation:

On the 4th row of the table, we see 6 in the x column and 5 in the y column. This makes the point (6, 5).

No other answer choices match up to the points in the table.

I hope this helps :))

Answer:

x = 6

Step-by-step explanation:

The scale factor is

28/8 = 7/2

We take the ratio of the larger side over the smaller side

Using ratios we can find the sides

28         21

----- = ---------

8           x

Using cross products

28x = 21*8

28x =168

Divide each side by 28

28x/28 = 168/28

x =6

Step-by-step explanation:

work is shown and pictured

Answer:

true

Step-by-step explanation:

hectometer is 100 meters,

thus 6 hectometers is equal to 600 meters, and the statement is true

Answer:

35

Step-by-step explanation:

[tex]6^2 - 1\\36-1\\35[/tex]

Answer with a Step-by-step explanation: We are given the table as:

x    f(x)

0     6

2      7

4      0

7      5

i.e. corresponding to different values of x we are given the values of f(x)

we have to find the value of f(0)

i.e. we have to find the value of f(x) when x=0

As we can see from the table the value of f(x) at x=0 is 6

Hence, Correct option is:

C) 6

Answer:

C.

Step-by-step explanation:

6

Human:

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✅ D.) 6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2

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~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

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