2 questions
when can you combine like terms?
when can you NOT combine like terms?

( do not put the definiton of like terms i only need these questions answered)

Answer:

[tex] x = \dfrac{3}{2} [/tex]

Step-by-step explanation:

x^2-3x+9/4 =0​

Multiply both sides by 4 to get rid of the fraction.

4x^2 - 12x + 9 = 0

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(4)(9)}}{2(4)} [/tex]

[tex] x = \dfrac{12 \pm \sqrt{144 - 144}}{8} [/tex]

[tex] x = \dfrac{12}{8} [/tex]

[tex] x = \dfrac{3}{2} [/tex]

Answer:

8000 cubes

Step-by-step explanation:

Given that 1KL is 1 Kilo liters

Then conversion of 1KL to cm³ => 1,000,000 cm³

Therefore, since we have a cube to be 125 cm³

Hence, to find the number of cubes of ice blocks that would make 1KL

We divide 1,000,000 cm³ from 125 cm³

=> 1,000,000 ÷ 125

=> 8,000

Therefore, the correct answer is 8,000 cubes

Answer:

m <1 = 64

m<2= 26

Step-by-step explanation:

the angle is 90 degree

therefore, <1 + <2 = 90

(x+51) + (2x) = 90

3x +51 = 90

3x = 39

x = 13

Answer:

b i think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

all points on the line of the equation y = 1 will have the number 1 as the y-value in each ordered pair

y = 1 is a horizontal line which intersects the y-axis at (0, 1)

Answer:

The triangle has an angle of 90º.

Answer:

BC = 36 ≅ (AQ+QD)

Step-by-step explanation:

1. Identify potential angles

∠Q≅90˚ so ∠B = 60˚ + 60˚ and ∠C = 30˚+30˚

2. Two isosoceles triangle

18=AB=AQ

18=CD=DQ

3. BC = AQ+QD

BC = 18+18

BC = 36

Answer:

A

Step-by-step explanation:

first num is 15

ratio is 0.2

formula is a.r^n-1

Answer:

The temperature went up by 29 degrees.

Step-by-step explanation:

Since -24 is negative,

Add 5 to 24 = 29.

Answer:

just carrie the 2 and box up rh2-4 then you would get the answer I'm smart as f

so 48 have gold and 48 is half of the good watches then there is 96 good watches and that's 3/4 of all the watches so the answer would be

128 watches in total

Answer:

b - 4 ≤ 15

b ≤ 19

Step-by-step explanation:

The statement "at most" typically means no more than, so the inequality sign would have to be "less than or equal to"

To solve for be all you would do is add 4 to both sides to get b by itself.

b - 4 ≤ 15

b - 4 + 4 ≤ 15 + 4

(-4 + 4 cancels itself out)

(15 + 4 = 19)

b ≤ 19

Answer:

4

Step-by-step explanation:

Answer:

2/5 OR 40%

Step-by-step explanation:

There are 2 even numbers - 2 & 4.

3 odd numbers - 1, 3, & 5.

5 numbers total.

2 / 5 = 40 %

Hope that helps! :)

Answer:

Circle on the left: 30 ft Circle in the middle: 4m Circle on the right: 10 mm

Step-by-step explanation:

I got these answers by multiplying the radius by 2. In the problem, they gave you the radius. The diameter is r*2, so that is how I got my answers.

Answer:

1. I think 30ft 2. I think 4m 3.I think 10mm

Answer:

6 3/10 pounds

Step-by-step explanation:

Answer:

22 feet below sea level

Step-by-step explanation:

she kept going down, basically in a negative way. adding to the already below sea level

Answer:

Try this: (2,6)

x=2, y=6

Step-by-step explanation:

Answer:

i belive it is (-2,-6)

Answer: (x-2)2

Step-by-step explanation:

The required equation is  [tex]y=(x-2)^2[/tex]

The correct answer is an option (C)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

We have been given four equations.

We need to find an equation for which y is always greater than or equal

to -1.

Consider,

A. y = ∣x∣ - 2

We know that the minimum value of ∣x∣ is 0.

So, the minimum value of y becomes -2

Hence, this is not a required equation.

B. [tex]y=x^{2} -2[/tex]

We know that the square of any number is always positive.

The minimum value of [tex]x^{2}[/tex] is 0.

So, the minimum value of y becomes −2

Hence, this is not a required equation.

C. [tex]y=(x-2)^2[/tex]

We know that the square of any number is always positive.

The minimum value of y is zero.

This means, the y value of equation  [tex]y=(x-2)^2[/tex] is always greater than -1.

D. [tex]y=x^3-2[/tex]

We know that [tex]x^3[/tex] can go have negative values. This means it may have value that tends to negative infinity.

This means, the y can be less than -1 and this is not a required equation.

Therefore, the required equation is  [tex]y=(x-2)^2[/tex]

The correct answer is an option (C)

Learn more about the equation here:

https://brainly.com/question/13170101

#SPJ2

Answer:

Step-by-step explanation:

x^2 - 4x + 20 = 0

x^2 - 4x = -20

x^2 = 4x - 20

x = 2x - 4.47

-3x = -4.47

x = roughly 1.5

Answer:

for x = 0, y = 0

for x = 1, y = 6

for x = 2, y = 12

for x = 3, y = 18

Step-by-step explanation:

y = 6x, the general equation is given, what you need to do is simply substitute the corresponding value of X into the equation.

for x = 0, y = 0

for x = 1, y = 6

for x = 2, y = 12

for x = 3, y = 18

Answer:

Step-by-step explanation:

x=0, y=0

x=1, y=6

x=2, y=12

x=3, y=18

Just multiply

Answer:

20

Step-by-step explanation:

12 / 3/5

12 / 0.6

20

Answer:

12 divided by 3/5 = 20

Answer:

x = 45

Step-by-step explanation:

In isosceles triangles (a triangle where two sides are equal), the two base angles are congruent.

The sum of angles in a triangle is 180°.

In this problem, x is a base angle, so the other base angle is equal to x.

So, adding up all the measures of the angles in this triangle,

90 + x + x = 180

Simplify.

2x + 90 = 180

Substract 90 from both sides

2x = 90

Divide both sides by 2

x = 45

Answer:

∠x = 117°

Step-by-step explanation:

supplement of ∠101° = 79°

all triangle interior angles add up to 180°

180° - 79° - 38° = 63°

the supplementary angle to 63° is 117°

Answer: A

Step-by-step explanation:

Step-by-step explanation:

The Perimeter of Equilateral triangle = 60cm

According to the question,

To find the height of the triangle,

Perimeter of Equilateral triangle = Area of Equilateral triangle.

[tex]60 = \frac{ \sqrt{3} }{4} a {}^{2} \\ [/tex]

[tex]60 \times 4 = \sqrt{3a {}^{2} } [/tex]

[tex]a {}^{2} = 240 \sqrt{3} \\ [/tex]

[tex]a = 120 \sqrt{3} cm[/tex]

Answer:

Step-by-step explanation:

volume of cylinder = πr²h = 3.14·2²·5 = 62.8 cm³

volume of cone = ⅓πr²h = ⅓·62.8 ≅ 20.9 cm³

The volume of the cone is 10.5 cm³. The volume of the cylinder is 31.4 cm³

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius

h = height

1/3 x 3.14 x 5 x 2 = 10.5 cm³

Volume of the cylinder = nr^2h

3.14 x 5 x 2 = 31.4 cm

To learn more about the volume of a cone, please check: https://brainly.com/question/13705125