f(x) = - x ^ 2 + 8x - 2

9514 1404 393

Answer:

  a. 12

  b. 15

  c. (2, -2.5)

Step-by-step explanation:

a. The points lie on a horizontal line, so the distance between them is the difference of their x-coordinates: 4 -(-8) = 12 units.

__

b. The length BD is the diagonal of the rectangle. Its length is given by the distance formula as ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((-8 -4)^2 +(-7 -2)^2) = √((-12)^2 +(-9)^2) = √(144 +81) = √225

  d = 15

The distance between B and D is 15 units.

__

c. The midpoints of AC and BD are the same:

  (A +C)/2 = ((-8, 2) +(4, -7))/2 = (4, -5)/2 = (2, -2.5)

  (B +D)/2 = ((4, 2) +(-8, -7))/2 = (4, -5)/2 = (2, -2.5)

Point (2, -2.5) can be used to locate the lake.

Answer:

The answer is D

Step-by-step explanation:

If and Then are italicized

Answer:

1202.38

Step-by-step explanation:

i looked how how do it and a calculator popped up so i put the numbers in that's what i got

Answer:

-8<7

Step-by-step explanation:

if you did at the number line you'll see that the -8 is at the left

and as you go the left number decreases

as you go to the right number increases

Answer:

See below...

Step-by-step explanation:

Zeros of the function:  [tex]f(x)=(x-8)(x+2)[/tex]

    The zeros are 8 and -2

The coordinates of the vertex:  [tex]f(x)=(x-3)^2-25[/tex]

     The vertex is the point (3, -25)

The y-intercept:  [tex]f(x)=x^2-6x-16[/tex]

     The y-intercept is -16

The axis of symmetry:  [tex]f(x)=(x-3)^2-25[/tex]

     The axis of symmetry is x = 3  (it goes through the vertex)

Answer: 6 peppers per slice

Step-by-step explanation:

First we subtract, 27-3= 24

now every single slice has an equal amount of peppers.

24/4=6

Answer:

326.56 sq in

Step-by-step explanation:

SA=2*3.14*4^2+2*3.14*4*9

SA= 100.48+ 226.08

SA= 326.56

Plug numbers in equation and then solve equation. R=4 and h=9.

Answer: 74feet

Step-by-step explanation:

In this case, to calculate the total length of the path, we have to find the perimeter of the shape which is a triangle.

It should be noted that the perimeter of a triangle is the addition of all of its sides. The sides given here are 20 feet, 36 feet, and 18 feet. Therefore, the total length will be:

= 20ft + 36ft + 18ft

= 74ft

The perimeter of a triangle is the sum of all sides of the triangle. Then the path length is 74 feet.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Rowena and Arlene are going to make a triangular path in her garden.

The sides will be 20 feet, 36 feet, and 18 feet.

The length of the path is given by the perimeter of the triangle. Then we have

Length of path = 20 + 36 + 18

Length of path = 74 ft.

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

[tex]12(x - 2) + 3x = \frac{1}{3} (x + 12) + 10x \\ 12x - 24 + 3x = \frac{x}{3} + \frac{12}{3} + 10x \\ 12x - 24 + 3x = \frac{x}{3} + 4 + 10x \\ 12x + 3x - \frac{x}{3} - 10x = 4 + 24 \\ 5x - \frac{x}{3} = 28 \\ \frac{15x - x}{3} = 28 \\ \frac{14x}{3} = 28 \\ 14x = 28 \times 3 \\ 14x = 84 \\ x = \frac{84}{14} \\ x = 6[/tex]

Good luck .

Answer:

Step-by-step explanation:

225*1/3=x

225/3=x

75=x

Answer:

13 degrees

Step-by-step explanation:

Triangles have to equal to 180 degrees

Answer:

[tex]180 = 154 + 13 + x[/tex]

Step-by-step explanation:

180= 154° + 13° + X

X = 180° - 154°- 13°

X = 13°

The its an ISOCELES triangle

The sum of three consecutive number is 63, hence the number is 20.

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

Let x represent the number. The sum of three consecutive number is 63, hence:

x + (x + 1) + (x + 2) = 63

x = 20

The sum of three consecutive number is 63, hence the number is 20.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

J

-66

Step-by-step explanation:

a1 = 2

n = 18

d = - 4

a18  =  a1 + (n - 1) * d

a18 = 2 + (18 - 1)*(-4)

a18 = 2 + 17*-4

a18 = 2 - 68

a18 = -66

Answer: C. 13.5

Step-by-step explanation:

9x3= 27

27 divided by 2= 13.5

The formula for the area of a triangle is: A = 1/2 * b * h

In this problem, we are given the base (9 ft) and the height (3 ft). Therefore, we can use the formula.

A = 1/2 * 9 * 3

A = 1/2 * 27

A = 13.5 ft^2

Hope this helps!! :)

Answer:

'y' would be 24

'x' would be 12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

the ratio of sides in a 30-60-90 triangle is, respectively, 1 : [tex]\sqrt{3}[/tex] : 2

so the side across from the 60 degree angle is [tex]\sqrt{3}[/tex] times the side of the 30°

the side across from the 90 degree angle is double the side of the 30°

so in this problem 'y' would be 24 and 'x' would be 12[tex]\sqrt{3}[/tex]

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using sin rule

sin 30=opposite/hypotenuse

1/2=12/y(do cross multiplication?

12*2=y

24=y

for x

using pythagoras theorem

H^2=P^2+B^2

24^2=12^2+B^2

576=144+B^2

576-144=B^2

432=B^2

[tex]\sqrt{432}[/tex]=B

12[tex]\sqrt{3}[/tex]=B

12[tex]\sqrt{3}[/tex]=X1

Answer:

The vertex of g(x) is (-4, -2)

Step-by-step explanation:

Let's define general translations:

Vertical translation:

For a function f(x), a vertical translation of N units (So the whole graph of f(x) is translated N units in a given direction) is defined as:

g(x) = f(x) + N

such that:

If N is positive, the translation is upwards

if N is negative, the translation is downwards.

Horizontal translation:

Similar than before, for a function f(x) a horizontal translation of N units is written as:

g(x) = f(x + N)

Where, if N is positive, the translation is to the left

If N is negative, the translation is to the right.

Here, we have the transformation:

g(x) = f(x - 2) - 5

This is a transformation that moves the whole graph of f(x):

2 units to the right

5 units downwards.

So, if a point like (x, y) was in the graph of f(x)

After the translation, that point will be (x + 2, y - 5)

Then, if the original vertex was (-6, 3), the new vertex will be:

(-6 + 2, 3 - 5)

(-4, -2)

The vertex of g(x) is (-4, -2)

Answer:

6pi

Step-by-step explanation:

arc length = 2pi * r * angle/360

= 2 pi * 9 * 120/360 = 6pi

Answer:

≈11.2

Step-by-step explanation:

Have a good day :)

0.07

Explanation:

The number of sophmores is 2+25+3 = 30.

Of these sophmores, 2 drive to school.

So the probability that a student drives to school, given that they are a sophmore, is 2/30, or approximately 0.07.

Answer:

y = [tex]\frac{4}{3}[/tex][tex]x[/tex] [tex]-7[/tex]

Step-by-step explanation:

Use the points (9, 5) and (6, 1) to identify the slope of the graph

[tex]m[/tex] = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

m = [tex]\frac{1-5}{6-9}[/tex]

m = [tex]\frac{-4}{-3}[/tex]

m = [tex]\frac{4}{3}[/tex]

The y-intercept is -7 because -7 touches y axis causing it to be the y-intercept

Answer:

t = 3.46 hours, or 3 hours 28 minutes

Step-by-step explanation:

78 dozen donuts in 2 hours immediately reduces to 39 dozen/hour.

Donuts produced as a function of time:   D(t), where t is the number of hours the macine runs.

Set D(t) = 135 dozen = (39 dozen/hr)t.

Solving this equation for t, we get:

t = 135/39 hours, or t = 3.46 hours, or 3 hours 28 minutes

Answer:

Step-by-step explanation:

A=lw

Answer:

A = bh

Step-by-step explanation:

you multiply the base length by the height length.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Step-by-step explanation:

vol of 1st cuboid,

=lxbxh

=4cm×6cm×1cm

=24cm³

vol of 2nd cuboid

= lxbxh

=6cm×3cm×1cm

=18cm³

vol of figure=18cm³+24cm³

= 42cm³

Answer:

y=1/4x+1

i think

Step-by-step explanation:

Answer:

20/29

Step-by-step explanation:

I hope that this 3 will help you understand easily.

Answer:

D. y = –3x2

Step-by-step explanation:

Answer:

y = -3x^2

Step-by-step explanation:

A quadratic function has a leading coefficient which determines its width. When |a| < 1 the graph is wider. When |a| > 1 the graph is narrower. This means y = -3x^2 is the narrowest graph since 3 is the greatest.

Answer:

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

hope it helps...

have a great day!!

Answer:

B

Step-by-step explanation:

answer:

b

step-by-step explanation:

Answer:

total no. of rows in garden= 345 each row contains= 48 flowers

total no. of flowers in the garden= 345*48=16560

Answer:

16,560

Step-by-step explanation:

No of rows = 345

No. of flowers in each row = 48

Estimated no of flowers in the garden

= No of rows * No of flowers in each row

= 345*48

= 16,560