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2 years ago

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Mathematics

1 answer:

Slav-nsk [51]2 years ago

6 0

Answer:

find out how many units higher g(x) is compared to f(x).

g(x) is 3 units higher than f(x)

Since the graph is 3 units higher, the value of k must be 3.

Step-by-step explanation:

ok i honestly hope i answerd this correctly because im terrible at reading math

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The diagonal length of a rectangular playing field is 76 feet, and its width is 48 feet. How long is the playing field?

Sauron [17]

The length of playing field is 58.9 feet

Solution:

Given that, the diagonal length of a rectangular playing field is 76 feet,

And its width is 48 feet.

To find: length of playing field

Now, we know that, diagonal, width and length of a rectangle will form an right angle triangle with diagonal as hypotenuse.

So, now, in a right angled triangle we can use pythagorean theorem to find the length

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition, In a right angled triangle ABC we get

$c^2 = a^2 + b^2$

Where "c" is the length of hypotenuse

"a" is the length of one leg of right angled triangle

"b" is the length of other leg of right angled triangle

$\begin{array}{l}{\text {Then, diagonal = width }^{2}+\text { length }^{2}} \\\\ {76^{2}=48^{2}+\text {length }^{2}} \\\\ {\text {Length }^{2}=76^{2}-48^{2}} \\\\ {\text {Length }^{2}=5776-2304}\end{array}$

$\begin{array}{l}{\text { Length }^{2}=3472} \\\\ {\text { Length }=\sqrt{3472}} \\\\ {\text { Length }=58.92}\end{array}$

Hence, the length of the rectangular field is 58.9 feet

7 0

3 years ago

Helppppp idk how tu du dis

Arlecino [84]

This expression simplified is 9n^4+8n^3+4

4 0

3 years ago

Read 2 more answers

Plsss help I’m so confused

Setler79 [48]

Answer:

The answer is 1001101

Step-by-step explanation:

77 base 10 to base 2 is 1001101

5 0

2 years ago

The measure of each angles

Aleks [24]

Supplementary angles is when 2 angles add up to 180 degrees.

We will name the smaller angle a and the bigger angle b.

therefore:

b - 172.6 = a

a + b = 180

Now we substitute:

a + b = 180
b - 172.6 + b = 180
2b - 172.6 = 180
2b = 352.6
b = 176.3

To find a:

a + b = 180
a + 176.3 = 180
a = 3.7

Therefore,

angle a = 3.7 degrees
angle b = 176.3 degrees.

Hope it helps and have a great day ahead

4 0

3 years ago

A laundry basket has 24 t-shirts in it. Four are navy,

Shtirlitz [24]

Answer:

The probability is of selecting a green shirt is 8

Step-by-step explanation:

24 - 4 = 20

20 - 12 = 8

4 0

2 years ago