In circle A, marc BC is 71° and marc EF is 78°: Points B, C, E, and F lie on Circle A. Lines BE and CF pass through point D, creating angle EDF. The measure of arc BC is 71 degrees, and the measure of arc EF is 78 degrees. What is m∠FDE? 35.5° 74.5° 39° 78°

Answer:

y= -3x+3/2

Step-by-step explanation:

Write it in the form of y=mx+b because that is the y-intercept form.

So just plug it in.  y=-3x+3/2

Answer

y= -3x+3/2

Step-by-step explanation:

Answer:

A. [tex] x = \frac{5}{p} [/tex]

Step-by-step explanation:

[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]

Answer:

3x² - 9x - 30

Step-by-step explanation:

We use FOIL to multiply (First, Outside, Inside, Last)

Step 1: F

3x²

Step 2: O

6x

Step 3: I

-15x

Step 4: L

-30

Step 5: Rewrite

3x² + 6x - 15x - 30

Step 6: Combine like terms

3x² - 9x - 30

Answer:

[tex]3x^2-9x-30[/tex]

Step-by-step explanation:

Use the FOIL method to solve:

First: [tex]x*3x=3x^2[/tex]

Outer: [tex]x*6=6x[/tex]

Inner: [tex]-5*3x=-15x[/tex]

Last: [tex]-5*6=-30[/tex]

Combining them all, we get:

[tex]3x^2+6x-15x-30=\\3x^2-9x-30[/tex]

Answer:

Jo should have rounded the divisor to -6.

Explanation:

When rounding, a number with a decimal value below 0.5 rounds down and a number with a decimal value of 0.5 and greater gets rounded up. 0.3 is less than 0.5 which means -6.03 is closer to -6 than -7 and should have been rounded to -6 instead.

Answer:

B!

Step-by-step explanation:

simple division :)))

Answer:

Sas

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

34 * 85 + 34 * 36

= 34 * (85 + 36)

= 34 * 121

= 11 * (34 * 11)

Step-by-step explanation:

(34x11)x11

34x11=374

374x11 is the answer.

Answer:

B= 30; A = 60

Step-by-step explanation:

just that it ur welcome

Answer:

B=60, A=30

Step-by-step explanation:

Answer:

cosine function:

Answer:

yes its cosine

Step-by-step explanation:

Answer:

E.

Step-by-step explanation:

There are 12 balloons in each package.  Multiply this by the number of packages to get the number of balloons.

Answer:

E. 12p

Step-by-step explanation:

Multiply 12 by the number of packages to get the total number of ballons.

Ex.

If P is 7 :

12 x 7 = 84

84 ballons in total.

Answer:

27

Step-by-step explanation:

Let's call the number of students taking chemistry x which makes the biology students 3x. Since the overlap is 4 the amount of students who take chemistry only or biology only is x - 4 and 3x - 4 respectively therefore we can write:

x - 4 + 3x - 4 + 4 = 32

4x - 4 = 32

4x = 36

x = 9

Since x = 9, the amount of biology students is 3x which is 3 * 9 = 27.

Answer:

27

Step-by-step explanation:

Answer:

x = 28

Step-by-step explanation:

We can use ratios to solve

x           x+10

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

42         42+15

Using cross products

42(x+10) = x(42+15)

42x+420 = 57x

Subtract 42x from each side

420 = 15x

Divide by 15

420/15 = x

28 =x

Answer:

A and B

Step-by-step explanation:

The surface area is [tex]2\pi rh+2\pi r^2[/tex]

BA is also the base, which is [tex]\pi r^2[/tex]

That means that B is also an answer.

The formulas which can be use to find the surface area of a right cylinder is  2πr² + 2 πrh and BA+2πrh.

Surface area of cylinder is the area of each faces by which it is enclosed.

The surface area of cylinder can be calculated with the following formula;

[tex]A=2\pi r^2+2\pi rh[/tex]

Here, (h) is the height of the cylinder and (r) is the radius.

This formula is similar to the option A. Thus, the option A is correct. The base of the cylinder is circular and there are two circle at the base of a cylinder.

The base area of the cylinder is,

[tex]BA=2(\pi r^2)\\BA=2\pi r^2[/tex]

Put this value in the surface area formula of cylinder as,

[tex]A=BA+2\pi rh[/tex]

Thus, the option B is also correct.

Hence, the formulas which can be use to find the surface area of a right cylinder is  2πr² + 2 πrh and BA+2πrh.

Learn more about the surface area of cylinder here:

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Answer:

see below

Step-by-step explanation:

{(x, y) : x≥2}∩{(x, y) : y≥2}

First {(x, y) : x≥2}

A solid line at x =2 and shaded to the right

(x, y) : y≥2

A solid line at y =2 and shaded above

∩ means intersection or where they overlap

The green area is where they over lap

These are the equations

Here clearly the lines lie in Q1 and 2 units away from both the axis

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of factor

(x-5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis

(x+2)^2 has the power of 2 which is an EVEN number. An Even power means that the graph will touch the x-axis

To find where it will touch the axis set the factor equal to zero and solve .

(x + 2) = 0

Subtract 2 from both sides

x=-2

Answer:

44

Step-by-step explanation:

Greatest common factor is 4

36 = 4*9

8 = 4*2

36+8 = 4*9 + 4*2

= 4(9+2)

= 4(11)

= 44

Hope it helps ...

Answer: 89:100

Step-by-step explanation:

89% out of a possible 100%

So, ratio will be 89:100

Answer:

5, 13, 10, 8

Step-by-step explanation:

hello, so for this question keep in mind the triangle inequality theorem which states- a side must be smaller than the sum of the other two sides.

go through each of the choices.

a. 5+7=12 12>9

b.2+7=9 9>9 this cant be the answer since 9 is equal to nine, not greater than,

c. 13+7=20 20>9

d.10+7=17 17>9

e.8+7=15 15>9

f.22+7=29 29>9 although 29 is greater than 9, we also have to keep in mind that the other 2 sides must also be greater than the other side. so try 7+9= 16. 16 isnt greater than 22 so it can’t be one of the answers.

hope this helped :)

Answer:

Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.

Step-by-step explanation:

As given in the graph,

Given function is a quadratic function, f(x) = (x + 2)(x + 6)

With x-intercepts of the function, x = -6 and -2

Graph below the x-axis represents the negative values of the function.

Graph above the x-axis represents the positive values of the function.

Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.

Answer:

[tex] \boxed{\sf Perimeter \ of \ rectangle = 2(5x - 2) + 2(3x + 1); 62 \ centimeters} [/tex]

Given:

Length of rectangle (l) = (5x - 2) cm

Width of rectangle (w) = (3x + 1) cm

To Find:

Perimeter of rectangle

Step-by-step explanation:

[tex]\sf \boxed{\sf Perimeter \ of \ rectangle = 2(length + width)} \\ \\ \sf Putting \ value \ of \ length \ and \ with \ in \ the \\ \sf formula \ of \ perimeter \ of \ rectangle, \ we \ get:\\ \sf = 2((5x - 2) + (3x + 1)) \\ \\ \sf = 2(5x - 2) + 2(3x + 1)[/tex]

[tex]\sf Now, \ let's \ find \ the \ value \ of \ perimeter \ of \\ \sf rectangle \ by \ substituting \ x = 4, \ we \ get: \\ \\ \sf Perimeter \ of \ rectangle = 2(5(4) - 2) + 2(3(4) + 1) \\ \\ \sf 5 \times 4 = 20 : \\ \sf = 2( \boxed{20} - 2) + 2(3(4) + 1) \\ \\ \sf 3 \times 4 = 12 : \\ \sf = 2(20 - 2) + 2( \boxed{12} + 1) \\ \\ \sf 20 - 2 = 18 : \\ \sf = 2 \times \boxed{18} + 2(12 + 1) \\ \\ \sf 12 + 1 = 13 : \\ \sf = 2 \times 18 + 2 \times \boxed{13} \\ \\ \sf 2 \times 18 = 36 : \\ \sf = \boxed{36} + 2 \times 13 \\ \\ \sf 2 \times 13 = 26 : \\ \sf = 36 + \boxed{26} \\ \\ \sf = 62 \: centimeters[/tex]

Answer:

C

Step-by-step explanation:

edge2020

Answer:

Option D.

Step-by-step explanation:

From the given graph it is clear that it is a parabola along to the x-axis.

Vertex form of a parabola along the x-axis is

[tex]x=a(y-k)^2+h[/tex]

where, (h,k) is vertex.

From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.

[tex]x=a(y-(-3))^2+(4)[/tex]

[tex]x=a(y+3)^2+4[/tex]   ...(1)

The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.

[tex]1=a(-2+3)^2+4[/tex]

[tex]1-4=a(1)^2[/tex]

[tex]-3=a(1)^2[/tex]

Substitute a=-3 in equation (1).

[tex]x=-3(y+3)^2+4[/tex]

Therefore, the correct option is D.

Answer:

(a)Dependent

(b)Both

(c)Independent

Step-by-step explanation:

a) When selections are made without replacement, the second(next) outcome is dependent of the first(previous) outcome. Therefore, we subtract one from the draw on the total.

(b)The probability of Event A and Event B is the multiplication of the probability of event A and the probability of event B. Events A and B can either be dependent or independent.

(c)When selections are made with replacement, the next outcome is independent of the previous outcome. Therefore, we say that the two events are independent.

Answer:

-1, 0, 3, 80

Step-by-step explanation:

so replace the n it would be

[tex]1^{2} - 2[/tex] x 1

1-2

-1

[tex]2^{2} - 2[/tex] x 2

4-4

0

[tex]3^{2} - 2[/tex] x 3

9-6

3

[tex]10^{2} - 2[/tex] x 10

100 - 20

80

Answer:

1. 18x^11

2. 3n^7

3. x^9

4.-2s^9

5. 6v^14

6.-3p^6

7. 8b^10

can i get brainliest for this pls :)

Answer:

Prime

Step-by-step explanation:

When faced with these equations, if you cant divide each term by the same GCF you multiply the like variable, exponent, or variable aka 3 here times the last term aka 5 here. So 3 times 5 is 15.

neither or these equations equal one when added or subtracted so the answer is prime.

15

1*15

3*5

The quadratic equation is not factorized completely. The given factors are prime factors. Option A is correct.

A mathematical quantity is factorized when it is expressed as multiples of smaller units of closely related quantities.

Factorization is the breakdown of an integer into smaller numbers that, when multiplied together, yield the original, considered number. Factors of those regarded as integers are those who make up an integer.

When all those factors are prime numbers, this is known as prime factorization. In other words, prime factorization expresses an integer in terms of prime multiples.

Given equation;

⇒3x²-x+5

The above quadratic equation is not factorized completely. The given factors are prime factors.

Hence option A is correct.

To learn more about prime factorization refer;

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Answer: see attachment

Step-by-step explanation:

The standard form of a linear equation is: Ax + By = C

where A, B, and C are INTEGERS.

The 1st, 3rd, & 4th equations are in the form Ax + By = C

The 2nd, 5th, & 6th equations are NOT in standard form.

Answer:

Nico's method is correct

Step-by-step explanation:

Lauren carelessly forgot to add the negative sign

[tex]-\frac{4}{5} = \frac{-4}{-5}[/tex]

Answer:

$ 46 and it's not enough

Step-by-step explanation:

6 + 5x

x = weeks

so after 8 weeks, his money should be

6 + 5(8) = 6 + 40 = $ 46

Not enough for buying RC model airplane

The money for Louis have after 8 week will be $46.

And, It is not enough.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The plane cost $48. His grandfather gave him $6 and his mother gave him an allowance of $5 per week.

And, He would have 6+5x dollars after x weeks.

Now,

The money after 8 week = 6 + 5 × 8

                                      = 6 + 40

                                      = $46

Thus, The money for Louis have after 8 week will be $46.

Since, The plane cost $48.

Hence, It is not enough.

Therefore, The money for Louis have after 8 week will be $46.

And, It is not enough.

Learn more about the mathematical expression visit:

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Answer: A) ΔBCD ≅ ΔMKL

Step-by-step explanation:

In the given picture, it can be seen that

In Δ BCD and ΔMKL

∠B = ∠M

∠C = ∠K

∠D = ∠L

So, corresponding angles are equal.

Also,

segment BD =  segment ML

segment DC = segment KL

segment BC = segment MK

So by using SSS (Side-Side-Side) postulate of congruence, we have

ΔBCD ≅ ΔMKL

Hence, the correct option is A) ΔBCD ≅ ΔMKL.

Answer:

A) ΔBCD ≅ ΔMKL

Step-by-step explanation: