Please help! I'll give brainliest to correct answer!


Part A: Create a story or context for this number sentence.

Part B: Rewrite this number sentence using multiplication.

Part C: Give a verbal explanation that describes how these three numbers are related.

Answer:

f(x)=1/16(x-2)^2+2

Step-by-step explanation:

The Equation can be written like this:

f(x) = 1/(4p)(x -h)^2 +(k-p)

where (h, k) is the focus, and p is half the distance between focus and directrix. Here, (h, k) = (2, 6) and p=(6-(-2))/2 = 4. So the equation is ...

 f(x) = 1/16(x -2)^2 +2

Answer:

15

Step-by-step explanation:

10,000 - 2,500 = $7,500

$7500 ÷ $500 a month = 15 months

Answer:6 minutes

Step-by-step explanation: If the quiz started at 2:28 P.M., then once 6 minutes passed it would be 2:34 P.M..

Answer:6 minutes

Step-by-step explanation: Just count

Step-by-step explanation:

3 over 16.5 are 16.5 over 3

The scale factor that is used to enlarge the image  is 30.25.

Scale factor is used to compare the size of two objects. Mathematically,

we can write the scale factor as

{K} = S{O1}/S{O2}

Initial dimensions of the picture = 3 inches x 5 inches

Initial area of the picture = 15 square inches

Final dimensions of the enlarged picture = 16.5 inches x 27.5 inches

Final area of the picture = 453.75 square inches

So, we can write the scale factor as -

{K} = S{final}/S{initial} = 453.75/15

{K} = 30.25

Hence, the scale factor that is used to enlarge the image  is 30.25.

To solve more questions on size comparison, visit the link-

https://brainly.com/question/30526199

#SPJ2

Answer:

the first one is A The second on C the third one D and last one B

Step-by-step explanation:

Answer:a

Step-by-step explanation:

The solution to the equation ax² + bx + c = 0 , has a graph that crosses the y-axis once and does not intersect the x-axis, then the equation has one real root and two complex conjugate roots that lie on either side of the axis of symmetry.

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

If the graph of the equation ax² + bx + c = 0 crosses the y-axis once, it means that the equation has one real root. This is because when x = 0, the equation becomes:

c = 0² + 0 + c = c

Therefore, the point (0, c) is on the y-axis, which means the graph crosses the y-axis once.

If the graph does not intersect the x-axis, it means that the discriminant b² - 4ac is negative. This is because the discriminant determines the nature of the roots of a quadratic equation, and when it is negative, the roots are complex (not real) and the graph does not intersect the x-axis.

So, the solution(s) of the equation ax² + bx + c = 0 are:

x = (-b ± √(b² - 4ac)) / 2a

Since the discriminant is negative, the term inside the square root is negative, and there are no real solutions for x. Instead, the solutions are complex conjugates of the form:

x = (-b ± i√(4ac - b²)) / 2a

where i is the imaginary unit. Since the real part of these solutions is -b/2a, which is the axis of symmetry of the parabola, and the parabola does not intersect the x-axis, the complex roots will be a conjugate pair that lie on either side of the axis of symmetry.

Hence , the quadratic equation is solved

To learn more about quadratic equations click :

https://brainly.com/question/25652857

#SPJ2

Answer:

There are 2 terms.

Step-by-step explanation:

1st term: m

2nd term: 2n

The answer is x= 1/2

Answer:

Step-by-step explanation:

When you take the square root of a negative number such as √(−49) you get an answer of ±7i. The reason is that −49 = −1*49.

Hope this helps!

Answer:

B

Step-by-step explanation:

imaginary number (the number doesn't exist)

all square root has positive number inside the sign, but if the number is negative, we call it imaginary

√-1 = i

so i x i = -1

then

√-49 = √-1 * √49 = i * 7 = 7i

Answer:

0.0277777778

Step-by-step explanation:

\(\frac{1}{6} ^{2}\)

\(\frac{1}{6}\)  × \(\frac{1}{6}\) = 0.0277777778

The answer is 0.02777777777

The sevens just keep going

Just put a line right beside the last 7 so show it's infinte

Answer:

$31.02

Step-by-step explanation:

Find the amount of the discount:

47 x 0.34 = 15.98

Subtract the discount from the original price:

47 - 15.98 = 31.02

Answer:

The answer is a.10 (the number is 10)

Answer:

45

Step-by-step explanation:

The sum of interior angles in a triangle is 180.

Adding 30 and 50 gives you 80.

Therefor you have 100 unaccounted for.

100-10 = 90

90/2 = 45

thank you for asking me this question

Answer:

180 cubes

Step-by-step explanation:

little cubes:

\(v=(\frac{1}{3} )^{3} =\frac{1}{27}\)

The prism:

\(v=(\frac{5}{3})(\frac{4}{3} )(2)=\frac{40}{9} =\frac{20}{3}\)

the number of cubes that fill the prism:

\(cubes=\frac{\frac{20}{3} }{\frac{1}{27} } =\frac{(20)(27)}{(3)(1)}= \frac{540}{3} =180\)

Hope this helps

Total 120 cubes will required to fill the prism.

" Volume is defined as total space occupied by any three dimensional object enclosed on it."

Formula used

Volume of prism = Area of the base × height

Volume of the cube = ( side length)³

According to the question,

Side length of cube = 1 / 3cm

Length of the base of the prism = 5 / 3cm

Width of the base of the prism = 4 / 3cm

height of the prism = 2cm

Substitute the value in the formula we get,

Volume of the cube = ( 1 / 3)³

                                 = (1 / 27)cm³

Area of the base of the prism = ( 5 / 3) × ( 4 / 3)

                                                 = (20 / 9) cm²

Volume of the prism = (20 / 9) × 2

                                  = ( 40 / 9) cm³

Number of cubes required to fill the prism = (40 / 9) / ( 1 /27)

                                                                       = (40 × 27) / 9

                                                                       = 120 cubes

Hence, total 120 cubes will required to fill the prism.

Learn more about volume here

https://brainly.com/question/1578538

#SPJ2

Answer: d=3h

Step-by-step explanation: because the slope is 3/1 or 3

Answer:

r=4-2\sqrt{2}

Step-by-step explanation:

Let's set up an equation! (most cringe phrase ever, but hey, it works)

Because this is a square, we can do something like this: \(\frac{r}{\sqrt{2}}\)+r=2

If we multiply all sides by \(\sqrt{2}\), then we get \(r+r\sqrt{2} = 2\sqrt{2}\)

Time to solve it! (you could've gotten here another way, tho)

\(r(1+\sqrt{2} )=2\sqrt{2}\)

\(r=\frac{2\sqrt{2} }{1+\sqrt{2} }\)

Rationalizing the denominator, we get \(r=4-2\sqrt{2}\)

Feel free to tell me if I did anything wrong! :)

Answer:

10:56 = ?; 1/4% = 1/400; 11:15 = ?; 3/5% = 3/500;  12:13 = ?; 1/3% = 1/300

Step-by-step explanation:

10:56, 11:15, 12:13, are not viable to be converted so I don't understand but here is the rest.

Answer:

5/28

Step-by-step explanation:

10:56=10/56=5/28

Answer:

the area of the rhombus = base ×  height⇒ 20 × 19.2 = 384 cm²

Step-by-step explanation:

Answer:

384 cm²

Step-by-step explanation:

Multiply the base and height

Base = 20 inches

Height = 19.2 inches

B x H = 20 x 19.2 = 384 cm²

Considering area (A) of garden as 30 square feet:

30 = x(2x+7)

Now we need to expand it:

x(2x+7) = 2x^2 + 7x

2x^2 + 7x = 30

Adding this into an Algebra calculator gives us 5/2 or 2.5

So x = 2.5

To prove this:

2(2.5) + 7 = 12

14 * 2.5 = 30

Answer:

Step-by-step explanation:

To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.

Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.

The sum of the parts in the ratio is 8x + 5x + 2x = 15x.

We know that the total number of fruits is 120. Therefore, we can set up the following equation:

15x = 120

To solve for x, we divide both sides of the equation by 15:

x = 120 / 15

x = 8

Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:

Number of bananas = 2x = 2 * 8 = 16

So, there are 16 bananas in total.

We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.

The total distances you traveled to reach your destination on each day of your three-day trip are as follows:

a) Day 1 = 40 miles

b) Day 2 = 30 miles

c) Day 3 = 11 miles.

The total distances are determined using proportions.

Proportion refers to the fractional value of the whole number or quantity.

a) Day 1:

The fractional distance traveled = ⁵/₈

The remaining distance to travel = 15 miles

15 miles = ³/₈ (1 - ⁵/₈)

Proportionately, the total distance = 40 miles (15 ÷ ³/₈)

b) Day 2:

The distance traveled = 18 miles

The remaining distance to travel = ²/₅

The distance traveled = ³/₅ (1 - ²/₅)

³/₅ = 18 miles

Proportionately, the total distance = 30 miles (18 ÷ ³/₅)

c) Day 3:

The distance traveled = ⁵/₁₁

The distance to travel = 6 miles

The distance to travel in fractions = ⁶/₁₁ (1 - ⁵/₁₁)

Proportionately, if 6 miles = ⁶/₁₁, the total distance = 11 miles (6 ÷ ⁶/₁₁)

Learn more about proportions at https://brainly.com/question/1496357.

#SPJ1

Answer:

452.4 square feet

Finding the diameter:

Since there are 3 centimeters for every 4 feet, we need to divide 18 by 3

18 ÷ 3 = 6 which means the ratio is scaled up by 6 so we multiply 4 by 6

4 · 6 = 24 that means that the diameter of the base of the fountain is 24 feet

Finding the area:

Since the area of a circle is πr² we need to divide the diameter by 2 to get the radius(r)

24 ÷ 2 = 12 now we need to square 12 (which is multiplying it to itself ex. 5² is 5 · 5)

12 · 12 = 144 now we multiply it by π

π · 144 ≈ 452.38934 lastly we round it

452.4 square feet

Hope this helps!

Answer:

Perimeter is 12mm, height is \(2\sqrt3\)mm in simplest radical form, and 3.5mm in approximate decimal form.

Step-by-step explanation:

The perimeter is easy; since it's an equilateral triangle, all sides are the same length of 4, so you can just do 3*4 (3 sides, 4mm each) to get a perimeter of 12.

For the height, you can see that it forms two right triangles, each with a given base of 2 and a hypotenuse of 4. We can apply the pythagorean theorem (\(a^2+b^2=c^2\)) here to find the missing leg length of the smaller right triangles, which is equal to the big triangle's height.

I've enclosed an attachment for that.

Hope this helps!

Answer:

Angel 1- 112

Angel 2- 68

Angel 3- 68

Angel 4- 112

Brainlyiest Ty

Answer:

1. 30x + 20

2. -10x + 60

Step-by-step explanation: