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3 years ago

. What number is half way between –9 and + 3. first one who gets this get brainliest

Mathematics

2 answers:

dusya [7]3 years ago

7 0

-6 that is the answer

strojnjashka [21]3 years ago

4 0

We see the numbers on a number line

_____|___|___|___|___|___|___|___|___|___|___|___|___|____>
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
<______________________________|_________>
9 3
You need to add both distances

|-9| + 3 = 9 + 3 = 12

half
12 : 2 = 6

Now , we measure the distance towards the center section
1 way
-9 + 6 = -3
2 way
3 - 6 = -3

Answere : -3

_____|___|___|___|___|___|___|___|___|___|___|___|___|____>
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
<___________________|____________________>
 6 6
we used the average math
| - 9 | means that the assumed value of -9 9 (positive )

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The table includes points on a quadratic function used to model the shape of a hole for one support beam at a new building site.

erastovalidia [21]

The hole is 8 feet deep at ground level ⇒ 3rd answer

Step-by-step explanation:

The form of the quadratic function is y = ax² + bx + c, where

a is the coefficient of x²
b is the coefficient of x
c is the y-intercept (at x = 0)

The vertex point of the quadratic is (h , k), where $h=\frac{-b}{2a}$

and k is the value of y when x = h

The table:

→ x : -2 , 0 , 2

→ y : -6 , -8 , -6

∵ x represents distance from hole's center in feet

∵ y represents the depth from level ground

∴ The quadratic function is y = ax² + bx + c

∵ c is the value of y at x = 0 ⇒ y-intercept

- From the table at x = 0 ⇒ y = -8

∴ c = -8

- Substitute its value in the function model

∴ y = ax² + bx - 8

- To find the values of a and b substitute x and y in the model by

the coordinates of the point in the table

∵ x = -2 and y = -6

∴ -6 = a(-2)² + b(-2) - 8

∴ -6 = 4a - 2b - 8

- Add 8 to both sides

∴ 2 = 4a - 2b

- Switch the two sides

∴ 4a - 2b = 2 ⇒ (1)

∵ x = 2 and y = -6

∴ -6 = a(2)² + b(2) - 8

∴ -6 = 4a + 2b - 8

- Add 8 to both sides

∴ 2 = 4a + 2b

- Switch the two sides

∴ 4a + 2b = 2 ⇒ (2)

Now we have a system of equation to solve it

Add equations(1) and (2) to eliminate b

∵ 8a = 4

- Divide both sides by 8

∴ a = 0.5

- Substitute value of a in equation (1) or to to find b

∵ 4(0.5) + 2b = 2

∴ 2 + 2b = 2

- Subtract 2 from both sides

∴ 2b = 0

- Divide both sides by 2

∴ b = 0

Substitute the values of a and b in the function model

∴ y = 0.5x² + (0)x - 8

∴ y = 0.5x² - 8

∵ y represents the depth from level ground

∵ The vertex of the function model is (h , k)

∴ The deep of the hole at ground level is the value of k

∵ $h=\frac{-b}{2a}$

∴ $h=\frac{-(0)}{2(0.5)}$

∴ h = 0

∵ k is the value of y when x = h

- From the table at x = 0 ⇒ y = -8

∴ k = -8

- Ignore the sign (-) because the k represents the depth of the

hole in feet

∴ The deep of the hole at ground level is 8 feet

The hole is 8 feet deep at ground level

Learn more:

You can learn more about the quadratic function in brainly.com/question/1332667

#LearnwithBrainly

4 0

4 years ago

Which of the following segments is a radius of OK? ОА. АМТ ОВ. Вт Ос. AMR O D. KM

FrozenT [24]

Answer:

A) TA

Step-by-step explanation:

A radius goes from the center of a circle to the outside edge.

RP connects two points on the outside edge of the circle without going through the center. This is not a radius.

TR connects two opposite points on the outside edge of the circle while going through the center. This is a diameter, not a radius.

GP connects two opposite points on the outside edge of the circle while going through the center. This is a diameter, not a radius.

TA connects the center of the circle to the outside edge. This is a radius.

8 0

3 years ago

The value of n is a distance of 1.5 units from -2 on a number line . Click on the number line yo show the possible vault of n.

STatiana [176]

Answer:

I don't know

Step-by-step explanation:

I don't know

5 0

3 years ago

Using the numbers 0-6 once, make 2 equivalent ratios

fenix001 [56]

Step-by-step explanation:

As we have to use the number 0-6 once to make 2 equivalent ratios.

so lets solve the problem.

Determining first equivalent ratio

5 times 2 = 10

and

32 times 2 = 64

Together will get 10/64

Therefore, first equivalent ratio

$\:\frac{5}{32}=\frac{10}{64}$

Determining second equivalent ratio

$\frac{13}{65}=\frac{4}{20}$

$\frac{13}{65}=\frac{1}{5}$

and

$\frac{4}{20}=\frac{1}{5}$

Therefore, second equivalent ratio

$\frac{13}{65}=\frac{4}{20}$

8 0

3 years ago

6z^2-48x-120/3z^2+6z • 14z^5+140z^4/4z^2-400 =7z^3 Which values of s make the resulting expression undefined?

aev [14]

Step by step I’m not sure sorry dog

6 0

3 years ago