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3 years ago

Which point is 7 units from (10, 6) on a coordinate plane?

1 answer:

7 0

We can Add/Subtract 7 to the x-value or y-value of the point.

(10, 6)

(10 - 7, 6)

(3, 6)

(10 + 7, 6)

(17, 6)

(10, 6 - 7)

(10, -1)

(10, 6 + 7)

(10, 13)

The only point in the options is (3, 6).

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Find the average rate of change for f(x) = x2 − 3x − 10 from x = 4 to x = 6. A) 5 Reactivate B) 7 C) 9 Reactivate D) 11

White raven [17]

Answer:Rate of change is 7

Option B is correct.

Step-by-step explanation:

We need to find the average rate of change for $f(x)=x^2-3x-10$ from x = 4 to x = 6

The formula used to find average rate of change is:

$Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}$

Where b = 6 and x = 4

Finding f(6):

$f(x)=x^2-3x-10\\f(6)=(6)^2-3(6)-10\\f(6)=36-18-10\\f(6)=36-28\\f(6)=8$

Finding f(4):

$f(x)=x^2-3x-10\\f(4)=(4)^2-3(4)-10\\f(4)=16-12-10\\f(4)=16-22\\f(4)=-6$

Now Putting values:

$Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}$

$Rate\,\,of\,\,change=\frac{8-(-6)}{6-4}\\Rate\,\,of\,\,change=\frac{8+6}{2}\\Rate\,\,of\,\,change=\frac{14}{2}\\Rate\,\,of\,\,change=7$

So, Rate of change is 7

Option B is correct.

Keywords: Rate of Change

Learn more about Rate of Change at:

#learnwithBrainly

8 0

3 years ago

Can someone pleaseeee hellpp??

monitta

Answer:

5.8

Step-by-step explanation:

To get the mean, add up all the numbers

9+4+8+3+5 = 29

Then divide by how many numbers there are (5)

29/5 =5.8

The mean is 5.8

4 0

3 years ago

Pedro is building a playground in the shape of a right triangle. The base of the triangle is 18 yards. The height of the triangl

Bezzdna [24]

Answer:

567 square yards

Step-by-step explanation:

The Area for 1 Triangular playground = 1/2 × Base × Height

The base of the triangle is 18 yards. The height of the triangle is 21 yards.

Hence:

= 1/2 × 18 yards × 21 yards

= 189 square yards

The area of the Triangular 3 playground is given as:

= 3 × 189 square yards

= 567 square yards

6 0

3 years ago

A box of pens cost $6.50 and a box of pencils is $4.00. Jane gets 15% commission of each box of pencils sold. Calculate Jane's c

lys-0071 [83]

Answer:

10.50

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A manufacturer is designing a flashlight. For the flashlight to emit a focused beam, the bulb needs to be on the central axis of

aalyn [17]

From the problem, the vertex = (0, 0) and the focus = (0, 3)
From the attached graphic, the equation can be expressed as:
(x -h)^2 = 4p (y -k)
where (h, k) are the (x, y) values of the vertex (0, 0)
The "p" value is the difference between the "y" value of the focus and the "y" value of the vertex.
p = 3 -0
p = 3
So, we form the equation
(x -0)^2 = 4 * 3 (y -0)
x^2 = 12y
To put this in proper quadratic equation form, we divide both sides by 12
y = x^2 / 12

Source:
http://www.1728.org/quadr4.htm

5 0

3 years ago