What's the vertex and how did you get it?

Answers

Answer 1

Answer: The

$3x^2 + 24x + 36 = 0 \implies 3(x^2 + 8x) + 36 = 0 \implies \n \n 3\left\{x^2 + {\bf 8}x + \left((\bf 8)/(2) \right)^2 - \left((\bf 8)/(2) \right)^2 \right\} + 36 = 0 \implies \n \n 3\left\{x^2 + {\bf 8}x + 16 - 16 \right\} + 36 = 0 \implies \n 3\Big\{(x+4)^2 - 16 \Big\} + 36 = 0 \implies \n \n 3(x+4)^2 - 16(3) + 36 = 0 \implies 3(x+4)^2 - 12 = 0$

The vertex is (-4, 12) because a(x - b)^2 + c has vertex (b, c) so 3(x+4)^2 - 12 has vetex (-4, 12)

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25)There are 200 students in 6th period lunch. The ratio of 7th graders to 8th graders is 4 to 5. What percent of the students are 7th graders?A) 44
B) 55 9%
C) 89%
D) 80%

Answers

There are 200 students in 6th period lunch.
The ratio of 7th graders to 8th graders is 4 to 5.
Let's find the percentage of the students are 7th graders:
=> 200 / 9 = 22.22
=> 22.22 * 5 = 111.11 or 111
=> 22 * 4 = 88.88 or 89
=> 4 : 5 or 89 : 111
7th grader = 55%

On a 2,000 calorie diet, how many calories would come from VEGGIES? *35% veggies
15% fruit
25% carbs
25% protein

Answers

700 cal out of the 2000
2000*.35

1Which circles have an area of 9 $\pi ^$ $m^(2)$ ?Choose all answers that are correct.

A.
a circle with a radius of 3 m

B.
a circle with a diameter of 6 m

C.
a circle with a radius of 9 m

D.
a circle with a diameter of 9 m

Answers

The answer is letter A.

a square has a side length of x. A rectangle has a length that is 4 inches longer than the square and a width that is 2 inches shorter than the square. If the areas of the square and rectangle are equal, what is the length of the rectangle?

Answers

Answer:

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) = $x^2$ ...equation (i)

Length of the rectangle = $(x+4)$

Width of the rectangle = $(x-2)$

Area of the rectangle =Length * Width

⇒ $(x+4)(x-2)=x^2-2x+4x-8$

⇒ $x^2+2x-8$ ...equation (ii)

Equating both the equation as area of both the figure are equal.

⇒ $x^2+2x-8=x^2$

⇒ $2x-8=0$ ...subtracting $x^2$ both sides

⇒ $2x=8$ ...dividing both sides with 2

⇒ $x=(8)/(2)=4$ inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒ $(x+4)=(4+4)=8$

So the length of the rectangle = 8 inches.

How many inch cubes can fit into an empty box with a volume of 2 cubic feet?

Answers

Even though it's 2 cubic feet, it doesn't matter. It still can be transformed into inches.

1 foot = 12 inches

Multiply the 2 feet by 12 which should be:
12×2=24

So 24 cubic inches can be fit into a empty box with a volume of 2 cubic feet.
Hope this helps!

1 feet= 12 inches
2 feet= 12 times 2 = 24 inches

24 inch cube can fit into an empty box with the volume of 2 cubic feet

Find the area of the triangle below.

Answers

Answer:

3.6 cm

Step-by-step explanation:

Base times height divide by 2.

I think the answer is 3.6. I got the answer because I used the triangle formula to find the area. Which is base times height.

-Dhruva;)

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