I need help on this ASAP… Line A passes through the points (-4,5) and (0,2). Line B…

a. Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.

Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.

b. Let n be even, so that n = 2k for some integer k. Then

n² = (2k)² = 4k²

so that n² ≡ 0 (mod 4).

Now let n be odd, so n = 2k + 1 for integer k. Then

n² = (2k + 1)² = 4k² + 4k + 1

so that n² ≡ 1 (mod 4).

Therefore n² is never congruent to 2 (mod 4).

9514 1404 393

Answer:

  105°

Step-by-step explanation:

The exterior angle marked "?" is equal to the sum of the remote interior angles:

  ? = 25° +80°

  ? = 105°

Answer:

40+45

Step-by-step explanation:

17x5 is 85

Answer:

40 + 45

Step-by-step explanation:

5(8 + 9)

= 5*8 + 5*9

= 40 + 45

Check the picture below, that'd be more or less the pattern of the sprinklinkg, so when we find it's vertex, we'd find how far along the ground at the maximum and its maximum height.

[tex]h(x)=160x-16x^2\implies h(x)=-16x^2+160x+0 \\\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(x)=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+160}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left( -\cfrac{160}{2(-16)}~~,~~0-\cfrac{160^2}{4(-16)} \right)\implies \left( \cfrac{160}{32}~~,~~\cfrac{25600}{64} \right) \\\\\\ (\stackrel{\stackrel{\textit{along the ground}}{\downarrow }}{5}~~,~~\underset{\stackrel{\uparrow }{\textit{maximum height}}}{400})[/tex]

well, as you may notice from the picture, the water will hit the ground again when h(x) = 0 or namely y = 0, so let's do that to find out

[tex]h(x)= 160x-16x^2\implies \stackrel{h(x)}{0}= 160x-16x^2 \\\\\\ \stackrel{\textit{common factoring}}{0=16x(10-x)} \implies x = \begin{cases} 0&\leftarrow \textit{hits the ground first}\\ 10&\leftarrow \textit{hits \underline{the ground again}} \end{cases}[/tex]

Answer:

Step-by-step explanation:

32 choose 12

[tex]\frac{32!}{(32-12)!*12!}[/tex]=225792840

Answer:

P(12,32) = 32!/20!12!

= 2257928402

Hope it helps you

Answer:

Answer:

In which town does the total number have meaning?

Answer: Town B

For Town A, it does not, cannot, does not.

For Town B, does, can, does.

Answer:

No

Step-by-step explanation:

Substitute the values for their respective variable and evaluate.

[tex]1=2(2)-1\\1=4-1\\1\neq 3[/tex]

Therefore, (2, 1) is not a solution to the equation y = 2x - 1.

(2, 1) is in the form of (x, y).

Then,

☆ x = 2

☆ y = 1

Equation =》y = 2x - 1

Now, substitute the values.....

=》y = 2x - 1

=》(1) = 2(2) - 1

=》1 = 4 - 1

=》 1 ≠ 3

So, (2, 1) is NOT a solution to the equation y = 2x - 1.

______

Hope it helps ⚜

Answer:

Step-by-step explanation:

Answer:

ayúdame a encontrarla soy de Perú por favor ayuda

Answer: 65

Step-by-step explanation: divided the 2

Answer:

I should think the median

Answer:

  State A loses a seat to State B when the total is increased

Step-by-step explanation:

The "work" is most easily done by a spreadsheet, as the calculations are easily defined and very repetitive.

The "fair share" of seats is the fraction the population is of the total, multiplied by the total number of seats. It will generally be a mixed number (integer plus fraction).

If the whole number is 1 or greater, the number of seats allocated at least that whole number.

If not all seats are allocated, the fractions are sorted in decreasing order, and 1 additional seat is added to the allocation for each state, working down the list, until all of the seats are allocated.

__

The attachment shows State A has the highest fraction when the number of seats is 24. Only one additional seat needs to be allocated in that case. State A gets that extra seat.

When the number of seats is 25, States B and C have the highest fractions. Each of them gets one additional seat, and State A gets no additional seats. This results in the appearance of State A giving up a seat to State B.

_____

Additional comment

Hamilton's apportionment method was used for a number of years in the US. The method now in use is substantially different. The current method would divide the 24 seats so that A=3, B=6, C=15. The 25th seat would be given to State A.

Answer:

6 miles = 10560 yards

Step-by-step explanation:

To calculate a mile value to the corresponding value in yard, just multiply the quantity in mile by 1760 (the conversion factor). Here is the formula:

Value in yards = value in mile × 1760

Suppose you want to convert 6 mile into yards. Using the conversion formula above, you will get:

Value in yard = 6 × 1760 = 10560 yards

Answer:

12/12

Step-by-step explanation:

6/12= 1/2

so 1/2+1/2 = One Whole and that the same thing as 12/12

Answer:

Answer is option C

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

yes!

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Pythagorean theorem

A^2 + B^2 = C^2

Answer:

AUB={1,2,3,4,5,7,8,9}

ALL THE NUMBERS WITHOUT REPEATING

AnB={5}

THE NUMBER THE HAVE IN COMMON

(AnB)n(BnC)={5}not too sure

CUD={1,3,6,7,8,10}

Answer:

10

Step-by-step explanation:

just guessed

Answer:

A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number. It is partly a whole number. It is partly a fraction.

Answer:

7 inches

Step-by-step explanation:

5 square + 5 square=50

the square root of 50 is 7.07

7.07 to the nearest whole number is 7

Answer:

7 Inches

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

5² + 5² = c²

50 = c²

[tex]\sqrt{50}[/tex] = c

c = 7.07

ROUND

c = 7 inches

Answer:

slope = 4, y- intercept = - 35

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 )

Given

2y = 8x - 70 ( divide through by 2 )

y = 4x - 35 ← in slope- intercept form

with slope m = 4 and y- intercept c = - 35

Answer:

122 degrees-

Step-by-step explanation:

[tex]m\angle {GOC}=m\angle{GOA}+m\angle{AOC}\\=32^\circ + 90^\circ\\=122^\circ[/tex]

Angle GOA is a vertical angle with angle DOE, so it has the same measure (vertical angles are congruent).

Angle AOC is a right angle because angle COE is a right angle.

Answer:

6,240

Step-by-step explanation:

You start off with 5200, if she earns 4% each year for the next 5 years, she would earn a total of 20% more than what she had now.

You would multiply 5,200 by 1.20 Which equals the answer (above)

Using the probability concept, it is found that there is a 0.97555 = 97.555% probability that client A lives to be 30 years old.

A probability is the number of desired outcomes divided by the number of total outcomes, that is:

[tex]p = \frac{D}{T}[/tex]

In this problem:

Then:

[tex]p = \frac{D}{T} = \frac{97555}{100000} = 0.97555[/tex]

There is a 0.97555 = 97.555% probability that client A lives to be 30 years old.

A similar problem is given at https://brainly.com/question/25790531

Answer: The answer is 0.97424

Step-by-step explanation: The other answer... the math is correct, its just that they have read the source table incorrectly.

Age

29-30 = 97,555

30-31 = 97,424

The correct row is 30-31.

97,424 / 100,000 = 0.97424

You can tell this is the case because look at row 0-1.. its a 100% chance of survival. If you read that row as a '1 year old' then 100% of all people survive until they turn 1? Alas, no, this is not true :(

Answer:55 nail boxes

Step-by-step explanation: first we have to find out the total amount of nails in all the boxes so for this we do 38*8=304

when he gave all the nails to all his students he has 26 extra nails left. so we add this amount to the original which gives us 330 total nails.

to find out the number of nails in eadh box we divide 330/6=55

Answer:

Okay, Please copy paste the question. I cannot see.

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

360-115-129=116 (the sum of exterior angles of triangle is 360)

180-116=64

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Answer:

  (b)  62°

Step-by-step explanation:

Let x represent the measure of the angle.

The complement is (90 -x).

The supplement is (180 -x).

The relationship between the supplement and the complement is ...

  (180 -x) = 6 +4(90 -x)

  180 -x = 6 +360 -4x

  3x = 186

  x = 62

The measure of the angle is 62°.