What is the next step for this construction?
Connect points A' to C.
A. Connect points A’C
B. Draw another arc
C. Erase BC
D. Connect points C’ and B’

Answer:

Find the GCD (or HCF) of numerator and denominator

GCD of 63 and 9 is 9

Divide both the numerator and denominator by the GCD

63 ÷ 9

9 ÷ 9

Reduced fraction:  

7/1

Therefore, 63/9 simplified to lowest terms is 7/1.

Step-by-step explanation:

This shape is the rhombus, then ;

A= b × h

A= Rhombus area

h = height ; b = side length ( length of any side)

h= 3 inch ; b= 4.5 inch ; A=?

A= b × h

A= 4.5 × 3 = 13.5 inch²

____o__o_____

P = 4× a

P = The perimeter of a rhombus ; a = side of length

p= ? ; a = 4.5 inch

P = 4× a

P = 4× 4.5 = 18 inch

I hope I helped you^_^

Answer:

2, 0, 1

Step-by-step explanation:

In quadratic equations if b^2-4ac is greater than 0, 2 solutions. if equal, 1, if less, 0.

Answer:

Step-by-step explanation:

I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have

T = 2L + LRS

Next subtract the 2L to get

T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get

[tex]\frac{T}{LS}-\frac{2L}{LS}[/tex] = R  In that second term, the L's cancel each other out, leaving us with

[tex]\frac{T}{LS}-\frac{2}{S}[/tex] = R

Answer:

=5×12÷[-12÷{15+(-9)}]

=5×12÷[-12÷6]

=5×12÷(-2)

=-30

Step-by-step explanation:

Answer:

201, 206, 216, 228, 240

Step-by-step explanation:

Answer:

x = 145, y = 35

Brainliest, please!

Step-by-step explanation:

y = 35 degrees because it and the original 35 degree angle are alternate interior angles. Alternate interior angles are congruent, or the same.

x is supplementary to y. x + y = 180. x + 35 = 180. x = 180 - 35. x = 145

Answer:

12,24 etc

Step-by-step explanation:

4 and 6 both go into 12 evenly

4*3 = 12

6*2 = 12

12 is the least common denominator

We could also use 24

4*6 = 24

It is a common denominator, but not the least common denominator

We can use any multiple of 12

Answer:

that is the thousands place value.

the place value of 3 in 3546.= 3000

Answer:

See below & pic.

Step-by-step explanation:

Start by plotting the given point. Then use the slope to find two more points. From the given point go up 2 and right 4. GO back to the given point. Go down 2 and left 4. Now you have 3 points. Connect them with a line.

Answer:

2.7 kilometers

Step-by-step explanation:

Distance per run = 50 meters

Number of run per day = 6

Distance run per day = Distance per run * Number of run per day

= 50 meters * 6

= 300 meters

Last week he ran 4 day

Total distance run last week = Distance run per day * number of days

= 300 meters * 4

= 1200 meters

this week he ran 5 days

Total distance run this week = Distance run per day * number of days

= 300 meters * 5

= 1500 meters

Total distance for two weeks = Total distance run last week + Total distance run this week

= 1200 meters + 1500 meters

= 2700 meters

1000 meters = 1 kilometer

2700 meters = 2700/1000

= 2.7 kilometers

Total distance for two weeks = 2.7 kilometers

Answer:

B or A

Step-by-step explanation:

got it right on a test a year ago

(is probably B though.)

Answer:

[tex]\angle CFD =105^o[/tex]

Step-by-step explanation:

Given

[tex]\angle D FE = \angle DE F = 75^o[/tex]

See attachment

Required

Determine the measure of [tex]\angle CFD[/tex]

[tex]\angle CFD[/tex] and [tex]\angle DFE[/tex] are on a straight line.

So:

[tex]\angle CFD + \angle DFE = 180^o[/tex] --- angle on a straight line

Substitute known values

[tex]\angle CFD + 75^o = 180^o[/tex]

Collect like terms

[tex]\angle CFD =- 75^o + 180^o[/tex]

[tex]\angle CFD =105^o[/tex]

Answer:

+1/2

Step-by-step explanation:

its the negative reciprocal

Answer:

y = -1/2x

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 2x + 5. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.

Plug this value (-1/2) into your standard point-slope equation of y = mx + b.

y = -1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, 2). Plug in the x and y values into the x and y of the standard equation.

2 = -1/2(-4) + b

To find b, multiply the slope and the input of x (-4)

2 = 2 + b

Now, subtract 2 from both sides to isolate b.

0 = b

Plug this into your standard equation.

y = -1/2x + 0 or y = -1/2x

This equation is perpendicular to your given equation (y = 2x + 5) and contains point (-4, 2)

Hope this helps!

Answer:

Brauilo is wrong because he divided by (x+1) instead of (x-1)

Step-by-step explanation:

The remainder Theorem states that

if polynomial f(x) is divided by binomial x-a, the remainder will equal f(a). The factor is positive so the binomial is the same as

which is why we divide by -1, or subsitue -1 into the equation p(x).

The remainder of a polynomial division can be gotten using remainder theorem or synthetic division.

The true statement is: Brauilo did not find the value of a, because he divided by (x+1) instead of (x-1)

From the question, we have the following parameters:

[tex]\mathbf{p(x) = x^4 +5x^3 + ax^2 - 3x + 11}[/tex]

[tex]\mathbf{Divisor =x+ 1}[/tex]

[tex]\mathbf{Remainder = 17}[/tex]

First, we set the divisor to 0.

[tex]\mathbf{Divisor =x+ 1 = 0}[/tex]

So, we have:

[tex]\mathbf{x+ 1 = 0}[/tex]

Solve for x

[tex]\mathbf{x= -1}[/tex]

The above equation means that, the value of x that will be used to test the polynomial is -1

From the question,

Hence, Braulio is incorrect, because he used the wrong value of x

Read more about polynomial division at:

https://brainly.com/question/12011809

9514 1404 393

Answer:

  a) q = 15 at minimum average cost; q = 10 at minimum marginal cost

  b) marginal cost = average cost = 225 at q = 15

Explanation:

The average cost is the total cost divided by the number of units.

  A = C/q = 300 -10q +1/3q^2

The marginal cost is the derivative of the total cost.

  M = 300 -20q +q^2

__

a) The minimum average cost is where its derivative is zero.

  A' = 0 = -10 +2/3q   ⇒   q = 15

The minimum marginal cost is where its derivative is zero.

  M' = -20 +2q   ⇒   q = 10

__

b) The average cost for 15 units produced is ...

  A(15) = 300 -10(15) +1/3(15^2) = 225

The marginal cost at that same production level is ...

  M(15) = 300 -20(15) +15^2 = 225

The average cost and marginal cost are equal at the minimum average cost.

Answer:

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Answer: 12

Step-by-step explanation:

16 X 20c = 3.20

12 x 5c = 0.60

total is 3.80

Amy has 12 five c coins.

Answer:

I'm going to say A and B (I think)

Answer: m = 3.89

Step-by-step explanation:

(3m/5)+(m/2) =(4/1)+(2/5)

= (taking LCM) (6m+5m)/10 = (20+1)/5

or, 11m/10 = 21/5

or, 55m = 210

or, m = 210/55

so, m = 3.89

Answer:

x = 26

Step-by-step explanation:

sin x =4/9

Take the inverse sin of each side

sin ^-1 (sin x) = sin^-1(4/9)

x=26.38779

To the nearest degree

x = 26

Answer:

(x - 2)

Step-by-step explanation:

Given expression is,

[tex]\frac{x^3+3x^2-4x-12}{x^2+5x+6}[/tex]

We have to find the quotient.

x² + 5x + 6) x³ + 3x² - 4x - 12(x - 2

                   x³ + 5x² + 6x

                       -2x² - 10x - 12

                       -2x² - 10x - 12

                                    0

Therefore, quotient of the given expression will be (x - 2).

Answer:

X - 2

Step-by-step explanation:

Answer:

96m³

Step-by-step explanation:

Base area = 8×6/2 = 24 m²

Height = 12 m

Volume of a pyramid = 1/3 × Base area × Height

= 1/3 × 24 × 12

= 288/3

= 96 m³

Answered by GAUTHMATH

They could complete the job together in 2.4 days

The known parameters are;

The number of days it would take Michelle to complete the landscaping job = 6 days

The number of days it would take Danielle to complete the landscaping job = 4 days

The unknown parameter;

The number of days can the job be completed if they work together

The process of finding the solution;

The rate at which Michelle works = 1/6 of the landscaping work per day

The rate at which Danielle works = 1/4 of the landscaping work per day

Method;

Find their combined work rate, from which the time would take them to complete the job together can be found

Let, C, represent their combined work rate

Therefore, we have;

C = (1/6 + 1/4) = 5/12 of the landscaping (work) job/(per) day

The number of days they could complete the, 1, job = 1 job(work)/(5/12 (work)job/day) = 12/5 days = 2.4 days

∴ The number of days they could complete the job together = 2.4 days.

Learn more about unit rate here;

https://brainly.com/question/19605901

Answer:

The 1st solution

Step-by-step explanation:

all of the values are satisfied.

Answer:

D. 1/16

Step-by-step explanation:

Evaluate: 2^-4

А. =100

В. -8ОО

С. -16

D. 1/16

Given

2^-4

= 1 / 2⁴

= 1 / (2 * 2 * 2 * 2)

= 1 / 16

Therefore,

2^-4 = 1/16

D. 1/16

Answer:

b) y

Step-by-step explanation:

joannes speed = 250/2.5 =100km/h

francois speed = 100-10 = 90km/h

after 5h, francois would have travelled 450

Answer:

700mi cube

Step-by-step explanation:

10x7x10=700mi cube