Help!! I don’t understand how to answer this

When the vertex of a parabola is at the point (3,1), and its focus is at (3,5), the function that the graph represents will be y = 1/16 (x - 3)².

From the information given, the vertex of a parabola is at the point (3,1), and its focus is at (3,5). The equation of the parabola will be:

(x - 3)² = 4a(y - 1)

The length is measured along x = 3. The final equation of the parabola will be:

(x - 3)² = 4 × 4(y - 1) = 16(y - 1)

Therefore, rearranging the equation will become:

y = 1/16 (x - 3)².

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Answer:

why would you ask question with no answer options an think to get the same right answer ?

Step-by-step explanation:

Answer:

The period is 2π

Explanation:

The period is 2 times pi because 2 is the standalone-term multiplied by pi to get the period.

Answer:

The original price of the book was $12.50

Step-by-step explanation:

3x - 0.2(3x) + 10 = 40
30x - 2(3x) + 100 = 400
   30x - 6x + 100 = 400
           24x + 100 = 400
                     24x = 300
                         x = 12.50

Answer: pi/4 and -1

Step-by-step explanation:

Answer:

[tex]\log _3\left(\frac{x^{\frac{1}{2}}}{\left(y+8\right)^2}\right)[/tex]

Step-by-step explanation:

-> Apply log rules

[tex]\log _3\left(x^{\frac{1}{2}}\right)-2\log _3\left(y+8\right)[/tex]

->

[tex]\log _3\left(x^{\frac{1}{2}}\right)-\log _3\left(\left(y+8\right)^2\right)[/tex]

-> Apply basic math rules

[tex]\log _3\left(\frac{x^{\frac{1}{2}}}{\left(y+8\right)^2}\right)[/tex]

Answer:

should be the first one -inf < y < inf

Answer:

105

Multiples of 35:
35, 70, 105, 140, 175

Multiples of 21:
21, 42, 63, 84, 105, 126, 147

Answer:

105

Step-by-step explanation:

Given the following question:

We are given two numbers and we are trying to find the least common multiple (LCM) of the two. In order to find the LCM we have to find the GCM or the greatest common multiple.

[tex]35\div7=5[/tex]
[tex]21\div7=3[/tex]
[tex]GCM=7[/tex]

Now that we have the GCM we multiply 35, and 21 then divide it by the GCM.

[tex]35\times21=735[/tex]
[tex]735\div7=105[/tex]
[tex]LCM=105[/tex]

The least common multiple is "105."

Hope this helps.

Answer:

A triangle has side lengths 10 feet, V205 feet, and V105 feet

Step-by-step explanation:

Answer:

yes you can go 24.3miles with 15.3 gallons of gas

Step-by-step explanation:

Answer:

Hi,

Step-by-step explanation:

The triangles CBA and DEA are equals ( 3 sides 2 to 2 equals), angles CAB and DAE are also equals:

6t-12=18-4t

10t=30

t=3(°)

angle CAB=6t-12=6*3-12=6(°)=angle(DAE)

angle BCA=(180-6)/2=87(°)=angle CBA=angle (ADE)=angle(DEA)

Answer:

A. 11"

B. 39"

25 - 15 < x < 25 + 15

10 < x < 40

*x = whole number

Answer:

Step-by-step explanation:

Given two side lengths for a triangle, the triangle inequality tells you the third side must have a length between the difference and the sum of the given sides.

__

The difference of the given sides 25 and 15 is ...

  25 -15 = 10

The smallest integer greater than 10 is 11.

The third side must be at least 11 inches long.

__

The sum of the given sides is ...

  25 +15 = 40

The largest integer smaller than 40 is 39.

The third side must be at most 39 inches long.

_____

Additional comment

Formally, the triangle inequality tells you that sides a, b, c must satisfy ...

  a +b > c  and  b +c > a  and  c +a > b

When we're considering the length of third side (c), there are 3 cases to consider. 1) c is shortest; 2) c is between the other lengths; 3) c is longest. Without loss of generality, we can assume a > b.

1) c is shortest:

conclusion: c > a-b

2) a > c > b:

conclusion: c > a-b

3) c is longest:

conclusion: a -b < c < a+b . . . . . . for a>b

Answer:

Center: (6, -12)

Radius: 4

Step-by-step explanation:

Complete the squares

[tex]x^2+y^2-12x+24y-10=6\\\\x^2-12x-10+y^2+24y=6\\\\x^2-12x-10+46+y^2+24y+144=6+46+144\\\\(x^2-12x+36)+(y^2+24y+144)=196\\\\(x-6)^2+(y+12)^2=196[/tex]

Comparing with the standard form equation [tex](x-h)^2+(y-k)^2=r^2[/tex], since [tex]r^2=196[/tex], then the radius of the circle is [tex]r=14[/tex]. Also, the center of the circle would be [tex](h,k)\rightarrow(6,-12)[/tex].

Answer:

D.

Step-by-step explanation:

You can see it in the graphs after you plot it.

Answer: [tex]fx[/tex]

The slope is 0, and

the y-intercept is (0, 0)

[tex]\left[\begin{array}{ccc}x&y\\0&0\\1&0\end{array}\right][/tex]

In order to find the graph of "f(x)", we need to graph the line using the slope and y-intercept, or two points.

In the triangle represented in the diagram, The value of X is: 23°

A triangle can be defined as a plain shape that has three sides, three edges and three angles.

A triangle is majorly defined as a shape that possesses three angles and their interior angles sum up to 180°

In conclusion, in the triangle represented in the diagram, The value of X is: 23°

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Considering the sum of the internal angles of a triangle, it is value that the value of x is of x = 23º.

A triangle has three angles, and their sum is of 180º.

In this problem, the angles are:

x, 67º, 90º.

Hence:

x + 67º+ 90º = 180º.

x = 23º.

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Answer:

around 190

Step-by-step explanation:

Answer:

x * 3 + 13 ≤ 7

Step-by-step explanation:

three times a number

x * 3

13 more than that

x * 3 + 13

less than or equal to 7

x * 3 + 13 ≤ 7

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The approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m. -21 tickets per hour

The missing part of the question is represented by the following function:

[tex]T(h) = \frac{386 + 110h}{h}[/tex]

10:00 a.m is 3 hours after 7:00 am and 1:00 p.m is 6 hours after 7:00 am.

This means that:

h = 3 at 10:00 am

h = 6 at 1:00 pm

Next, we calculate T(3) and T(6)

[tex]T(3) = \frac{386 + 110*3}{3} =238.7[/tex]

[tex]T(6) = \frac{386 + 110*6}{6} =174.3[/tex]

The average rate of change is then calculated as:

[tex]T'(h) = \frac{T(3) - T(6)}{3 - 6}[/tex]

This gives

[tex]T'(h) = \frac{238.7 - 174.3}{-3}\\[/tex]

Evaluate

T'(h) = -21

This means that the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m. -21 tickets per hour

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Answer:

12

Step-by-step explanation:

12/3=4

4*3=12

Hope this helps!

If not, I am sorry.

Answer:

12

Step-by-step explanation:

The quotient of a number and three is four. What is the number?

The word problem can be written as:

[tex]\sf{\dfrac{x}{3}=4}[/tex]

1. Multiply both sides by 3:

[tex]\sf{3\left(\dfrac{x}{3}\right)=4(3)}\\\\\implies x=12[/tex]

2. Check your work:

[tex]\sf{\dfrac{12}{3}=4}\\\\\implies 4=4 \ \checkmark[/tex]

Therefore, the number is 12.

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A parallelogram is a quadrilateral with four sides. The opposite sides of the parallelogram are equal and parallel.

The parallelogram is a quadrilateral with equal and parallel sides, such that the interior angles present on the same side of the transversal are supplementary.

The sum of supplementary angles is equal to 180-degrees. From the theorem of same-side interior angles, the supplementary angles present on the parallel lines must be intersected by a transversal.

From the property of transversal, the interior angles on the same side of the transversal are supplementary. Therefore, ∠A and ∠D are supplementary and their sum is equivalent to 180-degrees.

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Answer:

D    Supplementary   BC    D

Step-by-step explanation:

did on edgu 2022 !!

Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly , Option B is the correct answer.

When a quantity of one variable is increased and the value of the other also increases then they are said to be in direct variation.

For the data to be in direct variation

Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly.

The points in any linear equation can only fluctuate directly, therefore all points will lie on the same line.

Option B is the correct answer.

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Answer:

ez b

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

2 hrs = 120 min

120 min / 5 min = 24 times in 2 hrs

24 x 3 = 72 eggs in 2 hrs

Answer:

Step-by-step explanation:

3 eggs/5 minutes = x/120 minutes

5x = 360

x = 72 eggs in 2 hours

Answer:

I can helpyou with that but im not sure with it

Answer:

1. Median:70, Range:12, IQR: 8

2. Median: 59, Range: 48, IQR: 31

Step-by-step explanation:

Hello, the answers I have are just approximations because I can not tell the specific number in between each mark.

The median is the middle vertical line of the box. The range is you maximum subtracted from your minimum. You can find these at the lines that extend out of the box. The interquartile range is the ends of the box subtracted from each other, meaning quartile 3 subtracted from quartile 1.

Hope this helps.

Answer:

4/25

Step-by-step explanation:

total no of children-15

total no of mothers-50

probability that a mother has i child

1/50

=8/50

=4/25

Answer:

0.16

Step-by-step explanation:

A group of 50 mothers were asked how many children they have. the

table shows the results.

number of children     1      2      3     4     5    

number frequency      8     12    10     14    6

What is the experimental probability of a mother having 1

child?

Total number of mothers = 8 + 12 + 10 + 14 + 6 = 50

Number of mothers with 1 child = 8

p(1 child) = 8/50 = 0.16

Answer:

n+3-(5n+6)=0

n+3-5n-6=0

5n-n=6-3

4n=3

4n/4=3/4

n=3/4

Answer:

86

Step-by-step explanation:

the equation that needs to be made is

(95+ 91+ 88+ x)/4 = 90

this means that the sum of 95, 91, 88, and x is 360.

95 plus 91 is 186. 186 plus 88 is 274

360-274 = 86

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hope this helps :)

Based on the sides of LMN and OPQ, the congruence postulate that applies is B. Congruent - SSS.

It is used when the two triangles given have three equal corresponding sides which also have equal angles.

All three sides of LMN and OPQ are equal sides and have equal angles and so the SSS rule applies.

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