Solve the following equation (image attached).

Answer:

i. - 3a² + 2ab + b²

ii. 2c² + - 2cd + - 4d²

Step-by-step explanation:

i. First things first, you remove the parenthesis in both expressions to look like this:

a² − 3ab + 2b² - 4a² + 5ab − b²

Next, you add like terms.

(a² + - 4a²) + (- 3ab² + 5ab) + (2b² + - b²)

After adding these like terms, your answer would be:

- 3a² + 2ab + b²

ii. This one is pretty simply. But first, lets simplify by first removing the parenthesis to look like this:

c² - 6d² + c² - 2cd + 2d²

Then, combine like terms

(c² + c²) + (- 2cd) + (-6cd² + 2d²)

After that, your sum would be:

2c² + - 2cd + - 4d²

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

i

(a² - 3ab + 2b²) + (- 4a² + 5ab - b²) ← remove parenthesis

= a² - 3ab + 2b² - 4a² + 5ab - b² ← collect like terms

= - 3a² + 2ab + b²

----------------------------------

ii

(c² - 6d²) + (c² - 2cd + 2d²) ← remove parenthesis

= c² - 6d² + c² - 2cd + 2d² ← collect like terms

= 2c² - 2cd - 4d²

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Answer:

500-10x=250

x=how much the bird descended in a second

the bird will land on the ground in another 10 seconds.

Step-by-step explanation:

the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.

Answer:

a) [tex]h(t)=500-25t[/tex]

b) [tex]t=20[/tex]

Step-by-step explanation:

a)

Let [tex]h[/tex] = height above ground

Let [tex]t[/tex] = time

Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.

∴   [tex]h(t) = 500-25t[/tex]

b)

To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:

[tex]0=500-25t[/tex]

[tex]25t=500[/tex]

[tex]t=20[/tex]

∴ It takes 20 seconds for the bird to reach the ground.

Answer:

A2: 55

A1: 99-55+x:180

X:26

Answer:

TRUE

Step-by-step explanation:

GIVE ME BRAINLIEST

Answer:

13/30

Step-by-step explanation:

26 / 60 because there's 60 mins in an hour

and you can divide both the numerator and the denominator by 2 to get:

13/30, which is the simplest form.

Answer:

y-y1 = m(x-x1)

y - 2 = 3(x-1)

y=3x-3+2

y=3x-1

Step-by-step explanation:

first you type down point slope formula

then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope

then you have to distribute the 3 to the x and the -1 and then isolate y

(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other

then you combine like terms 3x is alone and -3 +2 equals -1

there is your answer hope that works.

Answer:

so the zero is (20,0) but just so you know you can go to desmos and it will answer all of your graphing questions.

Step-by-step explanation:

can you please give me brainliest? I would appreciate it soooo much! I just need one more!

Answer:

10x<2x+12

-2x    -2x  

8x<12

--  --

8    8

x<1.5

Answer:

angle A is congruent to angle R

Step-by-step explanation:

when it gets rotated counterclockwise around point X that is how the triangles end up matching up

Answer:

The answer is 1. ∠A ≅ ∠R

Step-by-step explaation:

Looking at the triangles when they're in their alphabetical order, ΔABC and ΔRST, since they are congruent, that means that if you were to pick an angle in one triangle, it would be equal to the angle in the same place of the other triangle. So if we were to take the first letter from ΔABC it'd be A, and the first letter in ΔRST is R, so that means angles ∠A and ∠R should be congruent.

9514 1404 393

Answer:

  1 < 15 -2a < 7

Step-by-step explanation:

There are a couple of ways you can do this.

1) Put the minimum and maximum values of a into the expression to see what its corresponding values are:

  15-2a for a=4:

     15-2(4) = 7

  15-2a for a=7:

     15-2(7) = 1

Then ...

  1 < 15-2a < 7

__

2) Solve for a in terms of the value of 15-2a, then impose the limits on a.

  x = 15 -2a

  2a = 15 -x

  a = (15 -x)/2

Now, impose the given limits:

  4 < (15 -x)/2 < 7

  8 < 15 -x < 14 . . . multiply by 2

  -7 < -x < -1 . . . . . . subtract 15

  7 > x > 1 . . . . . . . . multiply by -1

  1 < 15-2a < 7 . . . . . use x=15-2a

_____

The vertical extent of the attached graph is the range of possible values of 15-2a. It goes from 1 to 7.

Answer:

18(40/360) + 9( 140/360) -3(90/360) -7(90/360)

=2 + 3.5 - 0.75 - 1.75

= $3

Answer:

The equation for the proportional relationship is y = 2.8x. If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.

Step-by-step explanation:

Answer:

Where's the equation

Answer: B

Step-by-step explanation: You just multiplying 25 with 10 and w which can be simplified as 24(w+10) and adding with the 13.5 x 10 and 13.5 x w, which can be simplified as 13.5(10+w)

Answer:

3 apples for 1.29

Step-by-step explanation:

If you divide 1.29 by 3, you will get 0.43 which means each apple then costs 0.43 each. This is less than 0.45 so it is the better value.

Answer:

$1.29 for 3

Step-by-step explanation:

The reason is that $0.45 per apple means for every apple, you have to pay $0.45. That eventually is going to start to add up. $1.29 for 3 means that you are paying $0.43 for 3, which means that you are saving money.

Answer:

the slope is -1

the y-intercept is 5

equation: -x+5

Step-by-step explanation:

rise/run = slope

the point that goes through the y-axis is ur y-intercept

Answer:

6x + 7y +84

Step-by-step explanation:

The linear equation y = -(6/7) x + 12 in the standard form will be 6x + 7y - 84 = 0.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation in standard form is given as,

ax + by + c = 0

Where -a/b is the slope of the line and c/b is the y-intercept of the line.

The linear equation in slope-intercept form is given below.

y = -(6/7)x + 12

Convert the equation into a standard form. Then we have

y = -(6/7)x + 12

y = (-6x + 84) / 7

7y = - 6x + 84

6x + 7y - 84 = 0

The linear equation y = -(6/7) x + 12 in the standard form will be 6x + 7y - 84 = 0.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

D. 104º

Step-by-step explanation:

So the inside of a triangle is equal to 180º and we already know two of the angles.

D = 47º

C = 57º

47 + 57 = 104

To solve angles A and B, we know that a straight line is 180º and we can figure out the angle of B because now all we have to do is subtract 104 from 180.

180 - 104 = 76, B = 76º

Because we know that a straight line is 180º and we already have the measure of angle B, all we have to do now is subtract 76 from 180.

180 - 76 = 104º

(5000 - 4000)/4000 x 100 = (1000/4000) x 100 = 25%

hope this help! ^^

Answer:

Using the graph, just look at the exact spot where the lines are intersecting and that point is the solution.

The solution is: (1.2, -1.6)

Step-by-step explanation:

You can also test this by plugging the values of the point into both equations.

Answer:

Perimeter of the triangle = (12x - 9)

Step-by-step explanation:

Property of an equilateral triangle:

- All sides are equal in measure.

- All interior angles are equal.

Since, measure of one side of the triangle = (4x - 3)

And perimeter of a polygon = Sum of all sides of the polygon

Therefore, perimeter of the given triangle = (4x - 3) + (4x - 3) + (4x - 3)

                                                                      = (4x + 4x + 4x) - (3 + 3 + 3)

                                                                      = (12x - 9)

Perimeter of the triangle = (12x - 9)

Answer:

Cannot be determined

Step-by-step explanation:

It can't be determined because AB=DE, BC=EF, and <ACB=<DFE not <DEF which makes the rule SSA which doesn't prove congruency.

Answer:

(3-21)-(7+6) = -31

Step-by-step explanation:

3-21 = -18 - 13= -31

Answer:

it’s D

Step-by-step explanation:

A) 6 cm, 23 cm, 11 cm

B) 10 cm, 15 cm, 24 cm

C) 22 cm, 6 cm, 6 cm

D) 15 cm, 9 cm, 24 cm

Answer:

2 dollars

72 dollars

Step-by-step explanation:

im not completely sure

Answer:

Arianna paid $2.75 for each photo coaster. If she purchased three dozen photo coasters, how much did she spend? $99.00

Step-by-step explanation:

Answer:

the answer is 32

Answer:

Wouldn't it be 2?

Step-by-step explanation:

Answer:

y= 1/4x-2

Step-by-step explanation:

Let's use the two points we have to find the equation.

y = mx + b

-2 = m(0) + b

So b = -2

-1 = 4m - 2

4m = 1

m = 1/4

Given:

A dilation centered at the origin with a scale factor of 2 can be denoted

with the following notation:

[tex]D_2(x,y)=(2x,2y)[/tex].

To find:

The [tex]D_4[/tex] for point  A (-2, 3).

Solution:

If [tex]D_2(x,y)=(2x,2y)[/tex], then

[tex]D_4(x,y)=(4x,4y)[/tex]

Substitute x=-2 and y=3 in the above rule to find [tex]D_4[/tex] for point  A (-2, 3).

[tex]D_4(-2,3)=(4(-2),4(3))[/tex]

[tex]D_4(-2,3)=(-8,12)[/tex]

Therefore, [tex]D_4[/tex] for point  A (-2, 3) is (-8,12).

Answer:

Step-by-step explanation:

1) x² + 3x + 1 = 0

a = 1    b = 3     c = 1

=> Δ = b² - 4ac = 9 - 4.1.1 = 5 > 0

so the quadratic equation have 2 solutions

=> x = [tex]\frac{-3+\sqrt{5} }{4}[/tex]

or  x = [tex]\frac{-3-\sqrt{5} }{4}[/tex]

2) x² + 4x - 8 = 0

a = 1    b' = 2    c = -8

Δ' = b'² - ac = 4 - 1.(-8) = 12 > 0

so the quadratic equation have 2 solutions

=> x = [tex]\frac{-2+\sqrt{12} }{1}=-2+\sqrt{12}[/tex]

or x = [tex]-2-\sqrt{12}[/tex]

3) x² - 5x -12 = 0

a = 1       b = -5    c = -12

Δ = b² - 4ac = 25 - 4.1.(-12) = 25 + 48 = 73 > 0

so the quadratic equation have 2 solutions

=> x = [tex]\frac{5+\sqrt{73} }{2}[/tex]

or x = [tex]\frac{5-\sqrt{73} }{2}[/tex]

Answer:

I want to say it is 8,000

Step-by-step explanation:

go to 80 degrees and go up to the next point and that is on 8,000

Answer:

8,300

Step-by-step explanation:

If you continue the graph to 80 degrees, your average will end up at 8,300. You can tell because it will be above 8,000 but not close to 9,000 so it has to be 8,300.