Simplify. Assume u is greater than or equal to zero. ​

Answer:

x = 25

Step-by-step explanation:

Angle 1 = 2x + 10

Angle 2 = 4x + 20

These two angles are going to add up to 180 because 180 is a straight line so we get the equation:

2x + 10 + 4x + 20 = 180

6x + 10 + 20 = 180

6x + 30 = 180

6x = 150

x = 25

Answer:

3x^3 + 6x^2

Step-by-step explanation:

2x^2 + 3x^3 + 4x^2

Combine like terms

3x^3  + (2x^2+4x^2)

3x^3 + 6x^2

Answer:

b. 6 x² + 4 x³

Step-by-step explanation:

2x ² + 3x³ + 4x²

Combine like terms, we get

2 x² + 4 x² + 3 x³

6 x² + 3 x³

option a and b both are similar.

Answer:

9 cm

Step-by-step explanation:

Applying,

P = a+b+c................. Equation 1

Where P = Perimeter of the triangle, a, b,c are the three sides of the triangle respectively.

From the question,

Given: P = 31 cm, a = x cm, b = (x-1) cm, c = (x+2) cm

Substitute these values into equation 1, and solve for x

31 = x+(x-1)+(x+2)

31 = 3x+1

3x+1 = 31

3x = 31-1

3x = 30

divide both side by 3 to get x

3x/3 = 30/3

x = 10.

Therefore,  the sides of the triangle are

a = x = 10 cm,

b = (x-1) = (10-1) = 9 cm

c = (x+2) = (10+2) cm = 12 cm

Hence the shortest side is 9 cm

Answer:

A+6=4/5(B+6) A=B+3/4

Step-by-step explanation:

The first sack contains A, the second sack contains B.

So, A = 3/4 B

When 6 potatoes are added to each sack.

Then: A+B = 4/5 (B+6)

So, the answer is A+6=4/5(B+6) A=B+3/4

Answer:

Answer Of this question is 1000

Answer:

x-intercept is (13/3, 0)  

y-intercept is (0,-13)

Step-by-step explanation:

change y+1 = 3(x-4) into slope-intercept form:

y+1 = 3x-12

y = 3x-13

y-intercept is (0,-13)

to get x-intercept, plug zero in for 'y' and solve for 'x':

0 = 3x-13

13 = 3x

13/3 = x

x-intercept is (13/3, 0)  

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

Step-by-step explanation:

Answer:

-2 5/9

Step-by-step explanation:

w + (-x) - 2/3

Let w = -5/9  and x = 4/3

-5/9  - 4/3 - 2/3

Get a common denominator

-5/9  -4/3*3/3  -2/3*3/3

-5/9  -12/9  -6/9

Add

-23/9

Change to a mixed number

-2 5/9

This answer is Nonlinear

Answer:

y = -x - 2

Step-by-step explanation:

The slope is -1 and the y-intercept is (0, -2).

Answer:

x = ±sqrt(3) i

Step-by-step explanation:

x^2+4-1 =0

Combine like terms

x^2 +3 = 0

Subtract 3 from each side

x^2 +3-3 = 0-3

x^2 = -3

Take the square root of each side

sqrt(x^2) = sqrt(-3)

x = ±sqrt(3) sqrt(-1)

x = ±sqrt(3) i

Answer:

Step-by-step explanation:

Let the first angle = x

Let the second angle = y

They are complementary so

x + y = 90

x = y + 30

Substitute for x

y + 30 + y = 90

2y + 30 = 90             Subtract 30 from each side

2y = 90 - 30

2y = 60                     Divide by 2

2y/2 = 60/2          

y = 30

x = y + 30

x = 30 + 30

x = 60

Answer:

16.7 miles

Step-by-step explanation:

6.7+10=16.7

The two of them ran 16.7 miles.

Answer:

Triangle c

Step-by-step explanation:

First is Isosceles as the two sides are the same. The second is also isosceles and the fourth does not make a right angle.

Answer:

n = 3/5

Step-by-step explanation:

Represent this quotient as:

   n

---------

-2/3

and set it equal to -9/10:

   n           -9

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

-2/3          10

Cross multiplication yields:

10n = 6, so that n = 6/10 or n = 3/5

Step-by-step explanation:

180-159= 21

21+112= 124

180-124= 56°

x = 56°

Angles in a triangle add up to 180°

Angles in a straight line add up to 180°

Hope this helped!

Another answer:

27°

(another answer has explained it, credits to them)

Answer:

(h/g)(x) = x² - 2x

Step-by-step explanation:

h(x) = x³ - 4x

g(x) = x + 2

(h/g)(x) = h(x)/g(x) = (x³ - 4x) / (x + 2) = x² - 2x

Answer:

B

Step-by-step explanation:

3 ¾ = 3.75. hope this helps!

Answer:

[tex] \displaystyle 27150200[/tex]

Step-by-step explanation:

we are two conditions

In choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12

remember that,

[tex] \displaystyle\binom{n}{r} = \frac{n!}{r!(n - r)!} [/tex]

with the condition we obtain that,

therefore substitute:

[tex] \displaystyle\binom{12}{3} = \frac{12!}{3!(12 - 3)!} [/tex]

simplify Parentheses:

[tex] \displaystyle\binom{12}{3} = \frac{12!}{3! \cdot9!} [/tex]

rewrite:

[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(1 \times 2 \times 3 )\cdot1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9} [/tex]

reduce fraction:

[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]

rewrite 12 and 10:

[tex] \rm \displaystyle\binom{12}{3} = \frac{3 \times 2 \times 2 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]

reduce fraction:

[tex] \rm \displaystyle\binom{12}{3} = 2 \times 11 \times 10[/tex]

simplify multiplication:

[tex] \rm \displaystyle\binom{12}{3} = 220[/tex]

In case of students we need the number of combinations of 4 students choosen from 43 therefore,

[tex] \displaystyle\binom{43}{4} = \frac{43!}{4!(43 - 4)!} [/tex]

simplify which yields:

[tex] \displaystyle\binom{43}{4} = 123410[/tex]

hence,

The committee of 7 members can be selected in BLANK different ways is

[tex] \displaystyle 123410 \times 220[/tex]

[tex] \displaystyle \boxed{27150200}[/tex]

and we're done!

Answer:16cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

use formula

A(x,y)=A'(-x,y)

(-2,-3)=(2,-3)

Answer:

4.5 is a rational number, as it can be represented as 9/2. Many important numbers in mathematics, however, are irrational, and cannot be written as ratios.

Answer:

there is no figure sorry

Answer:

x = 0.75

Step-by-step explanation:

Find the full area of the triangle, and take away the area of the rectangle inside it to get the area of the shaded bits.

Area of whole triangle = (base x height) / 2 = (24 x 18) / 2 = 216

Area of rectangle = 6 x 20 = 120

Area of shaded region = 216 - 120 = 96

So 96 is the answer

Answer:

It's 200 ml I believe.

Step-by-step explanation:

Answer:

c. 4

Step-by-step explanation:

I'm correct if I'm rwong