If a is a negative number and ab is a positive number, then:
(A) b is positive
(B) b is negative
(C) a is greater than b
(D) b is greater than a
(E) b may be zero

Answer:

[tex]use \: pythagorean \: theoram \\ {hypotenuse}^{2} = {height}^{2} + {base}^{2} \\ {x}^{2} = {12}^{2} + {9}^{2} \\ {x}^{2} = 144 + 81 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15 \\ thank \: you[/tex]

Answer:

x=15

Step-by-step explanation:

[tex]x=\sqrt{a^2+b^2}[/tex]

[tex]=\sqrt{12^2+9^2}[/tex]

[tex]=\sqrt{225}[/tex]

[tex]=15[/tex]

Answer:

1,920,000,000 pounds of food per year and 3,840,000 people.

Step-by-step explanation:

1,280,000 active military members could have been farmers that produced 1,500 pounds of food per year. (1,280,000 farmers x 1,500 pounds of food = 1,920,000,000).

1,920,000,000 divided by 500 pounds of food per person is 3,840,000.

Answer:

0.67>2/3

Step-by-step explanation:

If you divide 2 by 3, you will end up with 0.6.

Now, you can compare the two numbers 0.6 and 0.67.

Step 1 : F

Step 2 : C

Step 3 : B

Step 4 : E

Step 5 : D

Step 6 : A

Answer:

m > 7

Step-by-step explanation:

[tex] - 99 > 5 - 8(m + 6)[/tex]

[tex] - 8(m + 6) = - 8m - 8 \times 6[/tex]

[tex] = - 8m - 48[/tex]

[tex] - 99 > 5 - 8m - 48[/tex]

[tex]5 - 48 = - (48 - 5) = - 43[/tex]

[tex] - 99 > - 43 - 8m[/tex]

[tex] - 99 + 8m > - 43[/tex]

[tex]8m > - 43 + 99[/tex]

[tex]8m > 56[/tex]

[tex] = m > 7[/tex]

Step-by-step explanation:

........Student

........ Cousin

......... Child

Answer:

Step-by-step explanation:

Answer:

6x - 1 = 9

Step-by-step explanation:

1. first you have to divide every term in the equation by 2

   12x/2 + 4/2 = 20/2

2. simplify

   6x + 2 = 10

3. next you have to subtract one from both sides

   6x + (2-1) = (10-2)

4. simplify

    6x + 1 = 9

Answer:

a= 24 cm

Step-by-step explanation:

[tex] \frac{ \sin(150) }{a} = \frac{ \sin(12) }{10} \\ a = 24[/tex]

I hope I helped you^_^

Answer:

hi

Step-by-step explanation:

hi

Answer:

180square feet

Step-by-step explanation:

Square footage is calculated by multiplying width by length. So if a room is 18 foot wide by 10 foot long, 18 x 10 = 180 square feet.

Answer:

180 square feet

Step-by-step explanation:

if a room 18ft wide by 10ft long.18×10=180 square feet

Answer:

Step-by-step explanation:

If the amount is equal and each is 20% = $12, then total is:

Correct choice is D

Answer:

60.00

Step-by-step explanation:

20% of 60 = 12 which equals the amount of money Peter has.

So, at $60, he has 20% and $12.00

Answer: 22 weeks to gain $312.

Step-by-step explanation:

Let w be the number of weeks.

Equation: 48 + 12w  

48 + 12(22)

= 48 + 264

= $312

It will take 22 weeks for Marty to gain $312.

Answer:

the answer for this question is 2

Step-by-step explanation:

[tex]2(d - 10) = 18 \\ 2d - 20 = 18 \\ 2d = 38 \\ d = \frac{38}{2} \\ d = 19 \\ thank \: you[/tex]

Answer:

- 20x² + 26x + 8

Step-by-step explanation:

Given

4(2x³ - 5x² + 8x + 2) - 6x - 8x³ ← distribute parenthesis by 4

= 8x³ - 20x² + 32x + 8 - 6x - 8x³ ← collect like terms

= - 20x² + 26x + 8

Answer:  5*sqrt(5)

This is the same as sqrt(125).

It approximates to roughly 11.1803

=========================================================

Explanation:

Vector u is 5 units long as indicated by the notation ||u|| = 5. Some math books would say |u| = 5, and it's the same thing. The double bars are probably more fitting because it helps emphasize we're looking for the length of a vector and we're not using absolute value bars.

The second equation ||u|| = (1/2)*||v|| can be rewritten into ||v|| = 2*||u|| telling us that vector v is twice as long compared to vector u. Since vector u is 5 units long, that must mean vector v is 10 units long.

The two vectors are orthogonal, i.e. they are perpendicular. The vector u+v represents the diagonal of the rectangle as shown below in the attached image. Vector u is horizontal, v is vertical, and u+v is the diagonal. Technically we don't know where vector u is pointed along a compass (it may or may not be pointing directly east), but I find it's easier to have it set up like this. The answer will be the same regardless of where vector u is pointed. Rotations don't affect vector lengths.

We can see that vector u+v effectively breaks down component-wise into the horizontal component u and vertical component v (think of them as x and y components respectively).

Furthermore, note how there are two right triangles that form when we draw in the diagonal of the rectangle.

To find the length of vector u+v, we apply the pythagorean theorem.

a^2+b^2 = c^2

( ||u|| )^2 + ( ||v|| )^2 = ( ||u+v|| )^2

( 5 )^2 + ( 10 )^2 = x^2

25 + 100 = x^2

125 = x^2

x^2 = 125

x = sqrt(125)

x = sqrt(25*5)

x = sqrt(25)*sqrt(5)

x = 5*sqrt(5) is the length of vector u+v

In other words, ||u+v|| = 5*sqrt(5)

Keep in mind that this trick using the pythagorean theorem only works when vectors u and v are orthogonal. The process to find ||u+v|| for non-orthogonal vectors u,v is a bit more complicated.

Answer:

[tex]y+9=-5(x+6)[/tex]

Step-by-step explanation:

We are being asked to write the equation in point-slope form:

[tex]y-y_1=m(x-x_1)[/tex] where m = slope and the first point = [tex](x_1,y_1)[/tex]

In this case, the slope is -5 and the point is [tex](-6,-9)[/tex] so the equation will be:

[tex]y+9=-5(x+6)[/tex]

Want to learn more about point-slope form? Check the link out:

https://www.albert.io/blog/point-slope-form/#What_is_point_slope_form

Answer:

There is no solution

Step-by-step explanation:

[tex]5(x + 3) - 2 = 2 + 5x + 9[/tex]

[tex]5x+15-2-2-5x-9=0\\15-13=0\\2=0[/tex]

There is no solution

because 2=0 is not possible.

→5(x + 3) - 2 = 2 + 5x + 9

→5x+15-2 = 11+5x

→5x-5x = 11-13

→x = -2

~

Answer:

added or serving as a supplement.

Answer:

6 is a natural, whole and integer

Step-by-step explanation:

16 is a natural, whole and integer

it is not rational or irrational because

rational numbers are written in p/q as well as irrational

natural numbers start from 1 till infinite

whole numbers start from 0 to infinite

integers include all the positive and negative numbers

Answer:

rational

Step-by-step explanation:

Answer:

points doesn't lie in the given line.

Step-by-step explanation:

firmula for finding the equation of these points are

[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} [/tex]

x1=2 , x2=-3, y1= 9 ,y2=-6

subtitute all values in formula

[tex] \frac{y - 9}{ - 6 - 9} = \frac{x - 2}{ - 3 - 2} [/tex]

[tex]y - 3x - 3 = 0[/tex]

if we put (2,9) and (-3,-6) in new equation then they will satisfy equation.so this is the equation where points lie in the line

Answer:

9

Step-by-step explanation:

9+5=14/2=7

Answer:

Srry but there is no table.

Answer:

yes

Step-by-step explanation:

Answer:

(- 2, 3 ]

Step-by-step explanation:

parenthesis ( ) is used when the end value is not equal

brackets [ ] are used when the end value is equal

Here numbers are greater but not equal to - 2 and less than or equal to 3

(- 2, 3 ] ← is the appropriate interval notation