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klemol [59]
3 years ago
12

A relation is plotted as a linear function on the coordinate plane starting at point C at (0, −1)and ending at point D at (2, −1

1) .
What is the rate of change for the linear function and what is its initial value?

20 points Select from the drop-down menus to correctly complete the statements.



The rate of change is
Choose...
and the initial value is
Mathematics
1 answer:
ycow [4]3 years ago
7 0

Step-by-step explanation:

and what is its initial value?

20 points Select from the drop-down menus to correctly complete the statements.

The rate of change is

Choose...

and the initial value is

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D

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Both triangles are right.

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Hence leg/ angle (LA ) verifies similarity

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its in the image below because im too lazy to write it down.

Step-by-step explanation:

8 0
3 years ago
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Which point is on the circle centered at the origin with a radius of 5 units? Distance formula: StartRoot (x 2 minus x 1) square
Sergeeva-Olga [200]

Answer:

Option A) (2,\sqrt{21})

Step-by-step explanation:

The following information is missing in the question:

A. (2,\sqrt{21})

B. (2,\sqrt{23})

C. (2, 1)

D. (2, 3)

We are given the following in the question:

A circle centered at origin and radius 5 units.

We have to find the equation of a point that lies on the circle.

Let (x,y) lie on the circle.

Distance formula:

d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Putting

(x_2,y_2) = (x,y)\\(x_1.y_1) = (0,0)\\d = 5

We get,

5 = \sqrt{(y-0)^2 + (x-0)^2}\\\sqrt{x^2+y^2}=5\\x^2+y^2 = 25

is the required equation of point on the circle centered at the origin with a radius of 5 units.

The point (2,\sqrt{21}) satisfies the given equation.

Verification:

(2)^2 + (\sqrt{21})^2\\=4 + 21\\=25

Thus, (2,\sqrt{21}) lies on the circle centered at the origin with a radius of 5 units.

7 0
4 years ago
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A pair of boots and a pair of tennis shoes cost $196.12. The difference in their cost is $44.38. Determine the cost of each type
Natasha2012 [34]

Answer: A pair of boots costs $120.25. A pair of tennis shoes costs $75.87✔️

Step-by-step explanation:

Let B the cost of a pair of boots and let T the cost of a pair of tennis shoes.

Then we know:

A pair of boots and a pair of tennis shoes cost $196.12:

B + T = $196.12 } Equation 1

We also know:

The difference in their cost is $44.38:

B - T = $44.38 } Equation 2

From the equation 1 we know T:

T = $196.12 - B

Now we can substitute this value in equation 2:

B - ($196.12 - B) = $44.38

B - $196.12 + B = $44.38

2B = $44.38 + $196.12 = $240.5

B = $240.5/2 = $120.25◄cost of a pair of boots

Since we know the value of T from the equation 1:

T = $196.12 - B = $196.12 - $120.25 = $75.87◄cost of a pair of tennis shoes

Answer: A pair of boots costs $120.25. A pair of tennis shoes costs $75.87✔️

<h3>Verify </h3>

We can substitute these values in equations 1 and 2 and check the results:

B + T = $196.12 } Equation 1

$120.25 + $75.87 = 196.12 ✔️<em>check!</em>

B - T = $44.38 } Equation 2

$120.25 - $75.87 = $44.38 ✔️<em>check!</em>

Spymore

6 0
3 years ago
Read 2 more answers
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