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2 years ago

Please help and explain.

Mathematics

1 answer:

Radda [10]2 years ago

7 0

Explanation:

Vertex form of a quadratic function is given by y = a(x - h)² + k

where

1) 'a' determines if parabola is stretched or compressed.

If a > 1 then graph is stretched by a factor of a.

If 0 < a < 1, then graph is compressed by a factor of a.

2) If a > 0 then graph opens upwards with a happy face. (minimum)

3) If a < 0 then graph opens downwards with a sad face. (maximum)

4) (h, k) is the vertex point

5) The axis of symmetry is x = h

While solving for y = 1(x - 4)² + 3

Identify following's:

Vertex: (h, k) = (4, 3)

Axis of symmetry: x = 4

Max/Min: As here a > 0, Minimum (4, 3)

Stretch/compression: a = 1, the graph is stretched by a factor of 1.

Direction of opening: As a > 0, the graph opens upwards.

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Kim has worked in the tech industry for some time and would like to start consulting. In opening her new business, she will need

zimovet [89]

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3 years ago

Read 2 more answers

In the lake, a sailboat casts a shadow of 4 yards. A buoy that is 2 feet tall casts a shadow of 1 foot. What is the height of th

morpeh [17]

First you would find that not all the units are the same in this problem, so you convert yards to feet. So 4 yards = 12 feet.

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3 years ago

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What radius of a circle is required to inscribe an equilateral triangle with an area of 35.074 in2 and an altitude of 7.794 in?

levacccp [35]

Answer:

Step-by-step explanation:

firstly, we will draw diagram

we know that

centroid divides altitude into 2:1 form

so, we get

$r=\frac{2}{3}\times h$

now, we can plug

h=7.794

$r=\frac{2}{3}\times 7.794$

$r=5.196in$

so, option-C...............Answer

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3 years ago

the library, post office, and gas station are all on elm street. the library is three miles west of the post office. the gas sta

Paha777 [63]

Answer:

distance apart= 9 miles

Step-by-step explanation:

The library , post office and gas station are all on elm street. The library is 3 miles away westward of the post office. The gas station is also 6 miles east of the post office. The distance between the library and the gas station can be computed below.

The post office is located at the middle between the library and the gas station. The library goes 3 miles westward of the post office while the gas station goes 6 miles eastward of the post office. The distance apart between the library and the gas station is the sum of the distance of the gas station from the post office and the distance of the library from the post office .

Therefore,

6miles + 3 miles = 9 miles

7 0

3 years ago

Hi, please help me

vekshin1

Answer:

Perimeter: 22cm Area: 24cm^2

Step-by-step explanation:

To find perimeter we add all the sides together. There are two missing sides in this picture.

The bottom one is found by adding the two top lines 4 + 2 = 6

The one on the right can be found by subtracting the left line and the given right line 5 - 2 = 3.

Now we have all the lines, add them together we get 22cm!

Now, there are two ways to find the area. Of course I’m going to show the one I prefer.

Imagine the chunk in the top right is not missing; what would the area of the rectangle be? 30cm^2

And now what’s the area of the missing chunk?

Our given line multiplied by the one we calculated for: 6cm^2

Now subtract the whole rectangle minus the piece we are missing 30 - 6 = 24cm^2

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3 years ago