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3 years ago

Determine the points of intersection of the equation circumference x² + (y-3) ² = 25 with the coordinate axes.

Mathematics

2 answers:

Ne4ueva [31]3 years ago

8 0

Answer:

(0, -2), (4, 0), (0, 8), (-4, 0)

Step-by-step explanation:

The y-intercepts are found by solving for y when x=0.

(y -3)² = 25

y -3 = ±5 . . . . . take the square root

y = 3 ± 5 = {-2, 8}

The x-intercepts are found by solving for x when y=0.

x² +(0-3)² = 25

x² = 16 . . . . . . . . subtract 9

x = ±4 . . . . . . . . .take the square root

The y-intercepts are (0, -2) and (0, 8).

The x-intercepts are (-4, 0) and (4, 0).

lbvjy [14]3 years ago

4 0

Answer:

(4, 0), (-4, 0), (0, -2), (0, 8)

Step-by-step explanation:

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John is driving around town. When he reaches the gas station, he notes that he has traveled 20 miles. He reaches home 2 hours la

Dmitriy789 [7]

Answer:

d = 5t + 20

Step-by-step explanation:

d represents the distance and t represents the time, in hours

Let he equation which model this situation ⇒ d = a t + b

Where a and b are constant.

Let the gas station is the starting point

So, at gas station t = 0 , d = 20

∴ 20 = 0 * a + b ⇒ b = 20

When he reaches home 2 hours later notes that he has traveled 30 miles.

and with substituting with b = 20

∴ 30 = 2 * a + 20

2a = 30 - 20 = 10 ⇒ a = 10/2 = 5

∴ d = 5t + 20

The equations that can be used to model this situation d = 5t + 20

5 0

3 years ago

Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8,2)

Elis [28]

...6 and 10 are roots, so x – 6 and x – 10 are factors.
y = a(x – 6)(x – 10).....plug in the point (8, 2) and solve for a:
2 = a(8 – 6)(8 – 10)
2 = –4a
a = –1/2
...y = (–1/2)(x – 6)(x – 10)
...y = (–1/2)(x² – 16x + 60)
...y = (–x²/2) + 8x – 30 <<<------Answer, or:
...y = (–1/2)(x – 8)² + 2 <<<------Answer

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4 years ago

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nexus9112 [7]

$\displaystyle\int_0^5R(t)\,\mathrm dt\approx\sum_{i=1}^4\frac{R(t_i)+R(t_{i-1})}2\Delta t_i$

where $t_0=0,t_1=1,t_2=2,t_3=4,t_4=5$ , and we define $\Delta t_i=t_i-t_{i-1}$ for $i\ge1$ . The sum is adding up the areas of several trapezoids, each with dimensions determined by the values of $t_i$ and $R(t_i)$ . (See the picture below)

So the number of deliveries made is approximately

$\displaystyle\frac{(250+100)(1-0)+(200+250)(2-1)+(350+200)(4-2)+(100+350)(5-4)}2=1175$

3 0

3 years ago

Will give brainliest pls help :D

irga5000 [103]

❤ Hi There!! ❤

The answer is below!!

--------------------------------------------------------------------------------------------------------

Step-by-step explanation:

find the number line best shows how to solve −8 − (−6)

In the number line first we start with -8 . negative and negative becomes positive

from -8 move 6 units to the right. So it ends at -2

A number line from negative 10 to 10 is shown with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 2.

So, The answer is:

A number line from negative 10 to 10 is shown with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 2.

P.S Tell me if this is wrong....

$GoodLuck!!$