Which statement about the simplified binomial expansion of (a – b)n, where n is a positive integer, is true? all terms of the expansion are positive. all terms in the expansion are negative. the first term in the expansion is positive. the first term in the expansion is negative.

Answer:

18[tex]\frac{3}{4}[/tex]cm^3

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{5}[/tex] x + 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{5} }[/tex] = - 5 , then

y = - 5x + c ← is the partial equation

to find c substitute (5, - 4 ) into the partial equation

- 4 = - 25 + c ⇒ c = - 4 + 25 = 21

y = - 5x + 21 ← equation of perpendicular line

Answer:

DC = 39

Step-by-step explanation:

From inspection of the diagram:

The tangent of a circle is always perpendicular to the radius, therefore:

DE ⊥ EA and CA ⊥ EA

As ∠DEB and ∠BAC are both 90°, then DE is parallel to CA.

Therefore, ∠DBE and ∠ABC are vertically opposite angles, and are therefore equal.

As triangles ΔBED and ΔBAC have two pairs of corresponding congruent angles, the triangles are similar.

Therefore:

[tex]\implies \sf \dfrac{DE}{CA}=\dfrac{EB}{BA}[/tex]

[tex]\implies \sf \dfrac{10}{5}=\dfrac{24}{BA}[/tex]

[tex]\implies \sf BA=12[/tex]

Using Pythagoras' Theorem for ΔBED to find DB:

[tex]\implies \sf DE^2+EB^2=DB^2[/tex]

[tex]\implies \sf 10^2+24^2=DB^2[/tex]

[tex]\implies \sf DB^2=676[/tex]

[tex]\implies \sf DB=\sqrt{676}[/tex]

[tex]\implies \sf DB=26[/tex]

Using Pythagoras' Theorem for ΔBAC to find BC:

[tex]\implies \sf CA^2+BA^2=BC^2[/tex]

[tex]\implies \sf 5^2+12^2=BC^2[/tex]

[tex]\implies \sf BC^2=169[/tex]

[tex]\implies \sf BC=\sqrt{169}[/tex]

[tex]\implies \sf BC=13[/tex]

Therefore, the distance between the center of the circles DC is:

[tex]\begin{aligned} \implies \sf DC & = \sf DB + BC\\& = \sf 26 + 13\\& = \sf 39\end{aligned}[/tex]

Use Pythagorean theorem

Now use proportion

Now

DC=DB+BC=26+13=39

Answer:

57.5p

Step-by-step explanation:

$2.30 / 4 = 57.5p

The expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given binary functions are.

[tex]r(x) = 3x - 1[/tex]

[tex]s(x) = 2x +1[/tex]

The expression which has to be found out is,

[tex]\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{3(6)-1}{2(6)+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{18-1}{12+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{17}{13}\right)[/tex]

Thus, the expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.

Learn more about the equivalent expression here;

https://brainly.com/question/2972832

Answer:

the answer is 2500

Step-by-step explanation:

10 ^3 =1000

next you multiply 1000 x 2.5 = 2500

Answer:

Step-by-step explanation:

Given : the ratio of red marbles to blue marbles is 6 to 22

But ,we want to write the ratio in simplest form

therefore ,we have to divide both sides of the ratio by their greatest common factor GCF.

→ So Let’s find the GCF(6 , 22)

Since 6 = 2 × 3

         22 = 2 × 11

then ,GCF(6 , 22) = 2

Eventually ,the ratio 6 : 22 in its simplest form I suppose 3 : 11

the answer is C 3 magazines per book

Answer:

8

Step-by-step explanation:

32/4 = 8

8 = 1/4(32)

Answer:

8

Step-by-step explanation:

Since there is 32 students and 3/4 of them have brown hair right. We can change the 3/4 fraction to a similar fraction to help. We can bump it up. As it is similar to 6/8 and 12/16 and 24/32

So 24/32 would have brown hair leaving 8 with blonde

Answer:

[tex]3a^{2} b^{2} -6a[/tex]

Step-by-step explanation:

[tex]\frac{15a^{3}b(3ab^{2}-6 ) }{15a^{2} b}[/tex]       take [tex]15a^{3}[/tex]b common

 [tex]=3a^{2} b^{2}-6a[/tex]    cancel like terms

Answer:

11.61895003862225

Step-by-step explanation:

Answer:

y≥-1

Step-by-step explanation:

First you have to find out whether the inequality has x or y. You can first look at the x coordinate -1. This means that x will always be equal to -1. If you look at the graph than you can see that x is only equal to -1 at one place. So now you know that y is in the inequality. To tell whether this graph is greater than or less than you can look at the line and see whether the shaded section is to the positive side or the negative side. You can see that the shaded area goes in the positive direction so you know that it is greater than.

Since, the fundraiser only have three prices for books($2, $5 and $10), the number of $5 book that was sold is 12.

The fundraiser only have 3 prices for books which are $2, $5 and $10.

There were 6 more $5 books sold than $10 books sold.

Let

x = number of $10 book sold

Therefore,

number of  $5 books sold = x + 6

There are 8 more $2 book sold than $10 book sold. Therefore,

number of  $2 books sold = x + 8

A total of $250 was raised.

Therefore, the total amount sold forms the following equation:

10x + 5(x + 6) + 2(x + 8) = 250

10x + 5x + 30 + 2x + 16 = 250

17x = 250 - 30 - 16

17x  = 204

x = 204 / 17

x = 12

learn more on equation here: https://brainly.com/question/27361014

The equation of the circle is (x + 3)² + (y + 5)² = 36. Then the correct option is B.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The center of a circle at (–3, –5) and a radius of 6 units. Then the equation will be given as

(x + 3)² + (y + 5)² = 6²

(x + 3)² + (y + 5)² = 36

Then the equation of the circle is (x + 3)² + (y + 5)² = 36.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

D

Step-by-step explanation:

I did it B)

Answer:

its A 14.0

Step-by-step explanation:

Answer:

they are about 90 feet far apart from each other

Step-by-step explanation:

Here you can use the Pythagorean theorem :

[tex]\sqrt{50^{2}+75^{2}} =\sqrt{8125}[/tex]

                 [tex]=90.1387818866[/tex]

The answer is: (1, –1)

Answer:

The answer is 10d + 15.

Step-by-step explanation:

Simplify the expression. Calculators are helpful for problems such as these...

We will see that the system of equations has infinite solutions, each of the form:

y = (3/2)*(x + 1)

Here we have the system:

3x - 2y = -3

-9x + 6y = 9

Notice that if we add 3 times the first equation to the second one, we get zero.

3*(3x - 2y) + -9x + 6y  = 3*(-3) + 9

9x - 6y - 9x + 6y = -9 + 9

0 = 0

This actually means that both equations represent the same line, then, the "two" lines intersect in infinite points, meaning that the system of equations has infinite solutions, which are of the form:

3x - 2y = -3

2y = 3 + 3x

y = (3/2)*(x + 1)

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

129

Step-by-step explanation:

so they are basically the same angles but on different planes.  Set them equal to each other.

14x+17=19x-23  solve for x

40=5x isolate x by dividing by 5

x=8

check

14(8)+17=19(8)-23

129=129

Answer:

I will do only 1 sum bru.h

In the 1st sum

the 1st no. can be in 9 ways

the 2nd no. can be in 10 ways

the 3rd no. can be in 10 ways

the 4th no. can be in 10 ways

total no. of ways = 9 × 10 × 10 × 10

= 90 × 100

= 9000 ways

2nd one..

the 1st letter can be written in 4 ways

the 2nd letter can be written in 4 ways

the 3rd letter can be written in 4 ways

the 4th letter can be written in 4 ways

Total no. of ways = 4 × 4 × 4 × 4

= 16 × 16

= 196 ways

Answer:

Step-by-step explanation:

If an equation for example is x=5, the equation has one solution. If the equation is for example 4=4, there is an infinite amount of solutions. for your problem we would simplify the equation to get:

6x+9=3x+9

6x=3x

when dividing the x's to cancel eachother out we are left with 6=3. This means we have no solutions possible.

Answer:

in every way it's possible answer is 0!!

Step-by-step explanation:

method 1:

6x-3x=9-9

3x=0

x=0/3

x=0

method 2:

0=3x-6x+9-9

0=-3x

x=0

check

6*0+9=3*0+9

9=9

proved

Let's see

Answer:

0.64

Step-by-step explanation:

...........................

Answer:

0.64

Step-by-step explanation:

3.20 divided by 5 is 0.64.

Parallelograms have 2 pairs of congruent, parallel sides, and opposite angles that are congruent.

If side KL = 31, then its opposite side, side MN, must also be 31.

If angle N = 119 degrees, then its opposite angle, angle L must also be 119 degrees.

Angle L and Angle K are on the same side of the parallelogram, which means that they are supplementary angles (add up to 180).

119 + K = 180

Angle K = 61 degrees

Hope this helps!

Answer:

1. true 2. false 3. false 4. true 5. false 6. false or true

Step-by-step explanation:

you're welcome

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2.25/.5

Answer:

125.44 = v

Step-by-step explanation:

14 = [tex]\frac{v}{17.92}[/tex] + 7

7 = [tex]\frac{v}{17.92}[/tex]

7(17.92) = v

125.44 = v

Hope this helps!

Answer:

[tex]v = 125.44[/tex]

Step-by-step explanation:

Answer:

a=£231

b=£32.8

Step-by-step explanation:

get the percentage multiplied by the current price to get the increase then add the increaseto the current price