how far from the base of a building must the bottom of a 15 foot ladder sit for it to make a 52 angle with the ground

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:

3 1/3

Step-by-step explanation:

Im smart

Answer:

[tex]\frac{20}{6}[/tex] = [tex]3 \frac{1}{3}[/tex] = 3.333333

Step-by-step explanation:

[tex]\frac{4}{3} /\frac{2}{5}[/tex]

You can't divide a fraction so you kcf ( keep change flip )

[tex]\frac{4}{3} *\frac{5}{2}[/tex]

[tex]\frac{20}{6}[/tex] = [tex]3 \frac{1}{3}[/tex] = 3.333333

Answer:

1000

Step-by-step explanation:

we have formula total /100* percentage of sand dollars

Answer:

Listen carefully in class take notes go home review, remember to listen carefully in class is very important, and you need a schedule to help you plan your time.

Step-by-step explanation:

Hope it's help

Brainliest pls

Answer:

Definitely pay attention

always ask questions

take a lot of notes

go through your notes

I recommend watching some videos about the math if you're lost

solve some problems in free time to try and understand

Here you go sry it took so long

All the answers to the various operations given from question 1 to 6 have been explained and answered below.

1) We want to use order of operations to solve;

105 - 7² + (72 ÷ 9)

From order of operations which is BODMAS.

First operation for our given expression is bracket. Thus;

72 ÷ 9 = 8

Thus, we now have;

105 - 7² + 8

Next is addition;

7² + 8 = 57

Thus, we now have;

105 - 57 = 48

2)   884284

   - 349407

      534877

3) 6 ÷ ²/₇

⇒ 6 × ⁷/₂

⇒ 21

4) Kevin makes $78.37 per day. Thus;

Amount he makes in 7 days = 78.37 × 7

⇒ $548.59

5) Product of 1389 and 6.58

⇒ 1389 × 6.58

⇒ 9139.62

6) We want to use distributive property to express 27 + 60.

Now, in distributive property, it implies that;

a(b + c) = ab + ac

Thus, let us get the greatest common factor of 27 and 60 and factorize it out.

GCF of 27 and 60 is 3. Thus;

27 + 60 = ((3*9) + (3*20))

⇒ 3(9 + 20)

⇒ 3(29)

⇒ 107

Read more at; https://brainly.com/question/16267305

Answer:

it's the middle one

Step-by-step explanation:

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: 24

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

66+90=156

180-156=24

Answer:

  $120

Step-by-step explanation:

6 tickets and 10 snacks will cost 6($15) +10($3) = $90 +30 = $120.

Hawa will have to pay $120 for her family.

Answer:

1. no 2: yes 3: yes 4. no 5.no 6. no

Step-by-step explanation:

Answer:

40x - 16

Step-by-step explanation:

1. Multiply out: 8 x 5x = 40x,    8 x -2 = 16

2. Put together: 40x - 16

Answer:

40x - 16

Step-by-step explanation:

This task is an application of the Multiplicative Property.  Multiply each of the two terms inside parentheses by 8, obtaining

8(5x - 2) = 40x - 16

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:

∠ 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:

$1102.50

Step-by-step explanation:

The appropriate compound interest formula is

A = P(1 + r)^t, where P is the principal ($1000), t is the number of years, and r is the interest rate as a decimal fraction.

Here A = $1000(1 + 0.05)^2  =  $1000(1.05)^2 = $1102.50

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:

20.40 ft

Step-by-step explanation:

a^2 + b^2 = c^2 (right triangle) (sides of the triangle are the house and the distance from the base of the ladder to the house. The hypotenuse is the ladder.

20^2 + 4^2 = c^2

400 + 16 = c^2

C = sqrt 416

C = 20.40 ft

Answer:

[tex]y=x[/tex]

Step-by-step explanation:

Each point has the same y coord as their x, so [tex]y=x[/tex]

Not that the first point works for both equations since it's the intersection between the two

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

Answer:x=6 y=34

x=8 y=44

x=9 y=49

x=10 y=54

Step-by-step explanation:

x        y

6       34         6*5+4=34

8       44         8*5+4=44

9       49         9*5+4=49

10      54        10*5+4=54

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:

hbgvfcdexsedfcgvgv b

Step-by-step explanation:

hgvfctdrxseazwsxrdctfvghbtfrdes

The missing length of the given triangle divided into two right-angled triangle is 24.

The ratio 60:36:x is a ratio of 2:1:x. This means that the ratio of the lengths of the three segments is 2:1:x. The first segment has a length of 60, so the second segment must have a length of 1/3 * 60 = 24.

Here is the solution in more detail:

The ratio 60:36:x can be written as 2:1:x.

This means that the ratio of the lengths of the three segments is 2:1:x.

The first segment has a length of 60, so the second segment must have a length of 1/3 * 60 = 24.

Therefore, the missing length is 24.

To learn more about length here:

https://brainly.com/question/32060888

#SPJ2

Answer:

a= 90

2a= 135

b=45

c= 45

I think x

Step-by-step explanation:

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:

is there a picture

Step-by-step explanation:

Answer:

y=0

Step-by-step explanation:

Answer:

y = [tex]\frac{9}{4}[/tex] (x - 2)² - 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (2, - 3 ) , then

y = a(x - 2)² - 3

To find a substitute (4, 6 ) into the equation

6 = a(4 - 2)² - 3 ( add 3 to both sides )

9 = a(2)² = 4a ( divide both sides by 4 )

[tex]\frac{9}{4}[/tex] = a

y = [tex]\frac{9}{4}[/tex] (x - 2)² - 3 ← in vertex form