Copy the problems onto your paper, mark the givens and prove the statements asked.
b) CN = WN, ∠C ≅ ∠W.
Prove RN = ON

Divide y by x:

32/4 = 8

40/5 = 8

56/7 = 8

72/9 = 8

The constant of proportionality is 8

Answer:

Divide y by x:

32/4 = 8

40/5 = 8

56/7 = 8

72/9 = 8

The constant of proportionality is 8

Step-by-step explanation:

Answer:

[tex] \displaystyle D) {x}^{5} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following Integral:

[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]

well, to get the constant we can consider the following Integration rule:

[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]

therefore,

[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]

recall exponent integration rule:

[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]

so let,

Thus integrate:

[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]

simplify addition:

[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]

reduce fraction:

[tex] \displaystyle = {x}^{5} [/tex]

finally we of course have to add the constant of integration:

[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]

hence,

our answer is D)

Answer:

35, 36, 37, 38, 39, 41, 42, 43 and 44

Step-by-step explanation:

Everything above 5 rounds upwards, and all numvers below 5 rounds down. So 34 and down will be rounded to 30, and that's what happens with 44, 43, 42, and 41.

Answer:

d1 = -1.5

dn = dn-1 *-4

Step-by-step explanation:

-1.5, 6, -24,96

The first terms is d1

d1 = -1.5

To find the common ratio divide the second term by the first term

6/-1.5 = -4

Check 6*-4 = -24

-24*-4 = 96

dn =dn-1 * -4

Answer:

D (1) = -1.5        

D (n)= dn-1 *-4

Step-by-step explanation:

I know ;) hope this helps.

Answer:

12 ounces

Step-by-step explanation:

[tex]3 \div 4 \\ = 0.75 [/tex]

[tex]0.75 \times 16 \\ = 12[/tex]

Answer:

12 ounces

Step-by-step explanation:

Answer:

1/2 pound for each dog.

Step-by-step explanation:

Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?

You want the units to be pounds per dog or pounds/ number of dogs.

The numerator is 6.5

The denominator is dogs (13)

Food per dog = 6.5 / 13 = 1/2

Answer:

-4

Step-by-step explanation:

please tell me if u need explaination

Answer:

1 58/100 or 1 29/50 (simplified)

Step-by-step explanation:

you can turn them into decimals

5/10 = 0.5

8/100 = 0.08

0.5 + 0.08 = 0.58

0.58 = 58/100 = 29/50

Answer:

 -4 -6 2 -2x 3-4x 2x-3

Step-by-step explanation:

3 - 7= -4 (7 is larger so we get - sign)

-4-2=-6(we add "-" terms but they have the - sign)

-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)

x-3x=-2x(3x is larger)

3-4x=3-4x(Unlike Terms)

-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)

Answer:

-20/343

Step-by-step explanation:

Answer:

7 is the coefficient

A coefficient is a number before a variable.

For example, in 7j, 7 is the coefficient:)

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n

<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m

<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n

<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other

Answer:

<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n

<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m

<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n

<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other

Step-by-step explanation:

Answer:

216 a^6

Step-by-step explanation:

(6a^2)^3

We know (xy)^z = x^z * y^z

6^3  * a^2^3

216 a^2^3

We know x^y^z = x^(y*z)

216 a^(2*3)

216 a^6

Answer:

I believe the answer to your question is 38.

Step-by-step explanation:

Here is what I did: First, I found the radius, and to do that, I did 12 divided by 2, which gave me 6. then I did 6 divided by 2, to find the radius, of the radius I just found.  which gave me 3, then I did 3 times 12, which gave me 36, so the answer should be 38 :)

Answer:

8

Step-by-step explanation:

Shape 1: TRIANGLE

Formula: A = 1/2 x bh

1/2 x (10)(5) = 25

AREA: 25 square yards

Shape 2: RECTANGLE

Formula: A = lw

(12)(10) = 120

AREA: 120 square yards

Sum (ADD)

25 yd^2 + 120 yd^2 = 145 yd^2

The area of the composite figure is 145 yd^2

Answer:

Generally, the higher the temperature, the larger the population.

Step-by-step explanation:

The line goes from left to right, and from down to up, so we can see that the temperature affects the population at the pool.

Answer:

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

-y > -5x - 3

y < 5x + 3

2. Plot a few points for the "y =" line

I chose

\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}

x

−2

−1

0

1

2

y

−7

−2

3

8

13

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

The graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

According to the question

linear inequality in the coordinate plane.

[tex]5x-y > -3[/tex]

which can be written as

-y > -3 -5x  

y < 3 + 5x ( standard way to express inequality )

Now , to get the points for  graph the inequality

We will treat inequality as equation

y = 3 + 5x

x                 y

0                 3

1                  8      

-1                 -2

-0.6             0

Now,

As per rule of graph the inequality

The boundary line is dashed for > and <  

and  If the symbol ≤ or < is used shade below the line.  

Therefore , graph the inequality is plotted accordingly .

Hence, the graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

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Answer:

(2 x 2 x 2) x (0.03125)

Step-by-step explanation:

Answer:

It is a reflection  across the y axis

Step-by-step explanation:

The reflection of point (x, y) across the x-axis is (x, -y).

The reflection of point (x, y) across the y-axis is (-x, y).

Since (-4, -2.4) becomes (4, -2.4)  The x values changes sign.  It is a reflection  across the y axis

Answer:

Slope is -3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify

y = -3x

↓ Compare to y = mx + b

Slope m = -3

y-intercept b = 0

Step-by-step explanation:

Above are the explanations

A map is drawn on a scale of 1: 240 000.

(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

(i) 1 cm: 240000 cm = 1 cm: 2.4km

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]

[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]

Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

[tex]$=21.9 \mathrm{~km}^{2}[/tex]

(ii) 1 cm: 240000 cm = 1 cm: 2400 m

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]

[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]

The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

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Answer:

C

Step-by-step explanation: