Find the product
(y-3)(y-4)

Answer:

B) Graph B

Step-by-step explanation:

The quadratic equation in vertex form is represented by: y = a(x - h)² + k, where:

(h, k) = vertex

x = h : axis of symmetry

a = indicates a reflection in the x-axis; it also determines the graph's vertical stretch or shrink.

h =  indicates a horizontal translation.

k =  indicates a vertical translation.

Given the given quadratic equation, y = (x - 2)² - 16:

The vertex occurs at point, (2, -16), and a = 1. Since the value of a is positive, then it implies that the graph opens upward, and the vertex is its minimum point.  The axis of symmetry occurs at h = 2.

To determine another point to use as a reference (and also for graphing) is solving for the equation's y-intercept, which is the point where it crosses the y-axis (where x = 0).

Y-intercept: set x = 0:

y = (x - 2)² - 16

y = (0 - 2)² - 16

y = (-2)² - 16

y = 4 - 16

y = -12

Therefore, the y-intercept is (0, -12).

Therefore, the graph that matches these given descriptions is Graph B.    

Attached is the graphed quadratic equation where it shows the vertex, y-intercept, and the axis of symmetry.

Answer:

Step-by-step explanation:

a.) the maximum is just the vertex

-35/(2*-4.9)= it takes 3.5714 seconds to hit the maximum

which in height is

-4.9*3.5714^2+35*3.5714 +1= 63.5 metres

b.) for this just plug in 2

-4.9*2^2+35*2+1= 51.4 metres

c.) just plug in f(0) =1 meter

d.) find the x intercepts (using the quadratic formula)

[tex]\frac{-35-\sqrt{35^2-4*-4.9*1}}{2*-4.9}=7.17131519096[/tex] seconds

(there is another answer but it doesn't make sense in the context of this question)

Answer: 24

Step-by-step explanation: 180-114=66

66+90=156

180-156=24

Answer:

last year = 530570

this year = 424456

decreased plants = 530570-424456 = 106114

decreased percent = 106114÷530570×100%

= 20%

therefore 20% is the decrease precent in the number of potted plants ordered anually

Answer:

103

Step-by-step explanation:

I think

Answer:

B. (x-3)^2

Step-by-step explanation:

x^2-6x+9 = (x-3)^2

(a-b)^2=a^2-2ab+b^2

(a+b)^2=a^2+2ab+b ^2

Answer:

Yes

Step-by-step explanation:

95 multiplied by 2 is 190

130 multiplied by 2 is 260

190+260 is 450

Answer:

95 x 2=190

130 x 2= 260

260+190= 450

he can and will still have some change

800-450=350

Step-by-step explanation:

hope this helps if not then sorry good luck and bye

Answer:

it's the middle one

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

The triangles are similar by SAS. Two side lengths are given, and we know that vertical angles are congruent.

It is not SSS because we do not know the side lengths of FG and BC.

It is not AA because we do not know two angle measurements.

Answer:

5.68*10⁵

Step-by-step explanation:

you can factor 10⁴ at the beginning too but I found it easier to explain what happens this way

Answer:

4 * 1.25 =  5

Step-by-step explanation:

4 boxes of pasta (4) at 1.25 (1.25) 'each' (*)

Answer:

its 1/4 .............1/2/2=1/4

I hope it helped u

Answer:

1/4

Step-by-step explanation:

the way you do this is by multiplying 1/2 by 1/2

Answer:

Cleo is: 25 years old

Range of their ages: 7 years

Step-by-step explanation:

Supposing that they are all around roughly the same age, say, Ahmed was 18 and Beth was 20. The mean/average, is taking both ages, and dividing it by how many people there were. Which was just two. So, 18+20=38. 38/2 gets you 19. To get Cleo's age, we would do,

18+20+ Cleo's age. to get a number, divide it by 3, and get 21. Saying that the mean/average is 21, he would definetly be older. So plug in ages. 24+20+18=62. 62/3 gets you 20.67. 25+20+18=63. 63/3 gets you 21. Therefore, he must be 25.

The range is calculated by subtracting the largest number, by the smallest number. And, given that the median, or, middle is 20, we can know that the previous answer is correct. 25-18 to get 7 as the range.

60+55=y

y=115

now x=180-Y( as being liner pair)

therefore=x=180-115=65

Step-by-step explanation:

two interior angles are equal to exterior angle

so 60+55=y

y=115

now x=180-Y( as being liner pair)

therefore=x=180-115=65

Answer:

hbgvfcdexsedfcgvgv b

Step-by-step explanation:

hgvfctdrxseazwsxrdctfvghbtfrdes

Answer:

The first blue option or 8x - 17 = 5x + 19

Step-by-step explanation:

    They are vertical angles, so they will be set equal to each other.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer = 1.8

Step 1) 3 ÷ 2.7 = 0.900

Step 2) 0.900 x 2 = 1.8

Time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

Given that, The Coney Island Boardwalk is 2.7 miles long.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

A person walks at the average speed of 3 mph.

We know that, speed = Distance/Time

= 2.7/3

= 0.9 hours

Hence, time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

To learn more about the speed, distance, and time visit:

brainly.com/question/4978052.

#SPJ2

Answer:16 perhaps

Step-by-step explanation:

add 4 and 12. also i am sorry if this is incorrect. if its right mark me as brainliest please.

Answer: Equation: 3x+4=12x-14

x=2

Step-by-step explanation:

3x+4=12x-14

18x=9

x=2

Answer:

Make me as brain liest plz

The perimeter of triangle DEF is; 30 cm

We are given dimensions of Triangle ABC as;

Thus;

Perimeter of Triangle ABC = 9 + 6 + 7.5 = 22.5 cm

We are told that Triangle DEF is similar to Triangle ABC.

This means that the ratio of corresponding sides must be equal to the ratio of their perimeter.

Side EF corresponds to side BC. Thus;

Perimeter of Triangle DEF/22.5 = 8/6

Cross multiply to get;

Perimeter of Triangle DEF = (22.5 × 8)/6

Perimeter of Triangle DEF = 30 cm

Read more on similar triangles at; https://brainly.com/question/14285697

Step-by-step explanation:

(x1,y1) = (-4,0)

(x2,y2) = (0,2)

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y - 0)/(2 - 0) = (x + 4)/(0 + 4)

y/2 = (x + 4)/4

4y = 2(x + 4)

2y = x + 4

y = x/2 + 2

Option → C

Answer:

A

Step-by-step explanation:

We can calculate the equation of the lines based on two points. First line m:

y = ax +b

where a is the slope and b is the y-intercept. To find the slope we use the x and y of the points as:

a = [tex]a = \frac{y_1-y_2}{x_1-x_2} = \frac{4- -32}{2- -4} = \frac{36}{6} = 6.[/tex]

So:

y = 6x + b

we can find the y intercept by substituting the x and y for one of the points:

solving for b:

b=-32-(6)(-4)= -8.

So the equation is:

y = 6x - 8.

We can change it to:

y + 8 = 6x

8 = 6x - y.

So it’s (A).

Hope that helps!

Answer:

B I think

Step-by-step explanation:

Answer:

which one is 29???

Step-by-step explanation:

Answer:

20/40 = 1/2

Step-by-step explanation:

5/8 * 4/5

multiply the numerator with the numerator and denominator with the denominator

you get 20/40 or 1/2

Answer: 0.5 or 1/2

Step-by-step explanation:

Answer:

∠ A = 59°, ∠ B = 48° , ∠ C = 73°

Step-by-step explanation:

The interior angles of a triangle sum to 180°

sum the 3 angles and equate to 180

x + x - 11 + 73 = 180

2x + 62 = 180 ( subtract 62 from both sides )

2x = 118 ( divide both sides by 2 )

x = 59

Then

∠ A = x = 59°

∠ B = x - 11 = 59 - 11 = 48°

∠ C = 73°

Answer:

<A = 149*

<B = 138*

<C = 73*

Step-by-step explanation:

There are 360* total inside a triangle.

We subtract 73 from 360 to find the combined number of both angles a and b.

360-73 equals 287, so we know that both angles a and b add up to equal 287.

Since angle a equals x and angle b equals x - 11, we would combine the two expressions to find x. When we find x, it will allow us to know what both angles a and b equals to. So we combine x and x- 11, set it equal to 287, and solve for x.

x + x - 11 = 2x-11.

287 = 2x - 11

(Add eleven to both sides)

298 = 2x (divide both sides by two)

X = 149

Since angle a equals x, we know that angle a Is 149*.

And since angle b is x - 11, we take 149, subtract it by 11, and we get 138.

Answer:

Step-by-step explanation:

four times the sum of a number and 9 is 16

4 *(x + 9) = 16

4x + 36 = 16

4x = 16 - 36

4x = -20

x = -5

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

4 * (-5 + 9) = 16

16 = 16

true

Answer:

a= 90

2a= 135

b=45

c= 45

I think x

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

Try 7/10

(7/10)^2=49/100