A. Explain why ABC and ADBE
are similar
B. What is the height of the building?

Answer:

I do not agree with the student because there is no real solution. Solving the equation only gives possible solutions, but you must check them in the original equation. Checking the solution in the original equation shows that 4 is an extraneous solution.

Step-by-step explanation:

idk if that's the same question i had, but that was the answer for mine. hehehe good luck.

is that on edge?

Given:

Hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6).

To find:

The equation of hyperbola.

Solution:

We have, directrices at y = ±2 so this hyparabola is along the y-axis.

The standard form of hyperbola is

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]      ...(i)

where, (h,k) is center, foci are [tex](h,k\pm c)[/tex] and directrix are [tex]y=k\pm \dfrac{a^2}{c}[/tex].

On comparing foci, we get

[tex](h,k\pm c)=(0,\pm 6)[/tex]

[tex]h=0,k=0,c=6[/tex]

On comparing directrix we get

[tex]k\pm \dfrac{a^2}{c}=\pm 2[/tex]

[tex]\dfrac{a^2}{c}=2[/tex]

[tex]\dfrac{a^2}{6}=2[/tex]

[tex]a^2=12[/tex]

Now,

[tex]a^2+b^2=c^2[/tex]

[tex]12+b^2=(6)^2[/tex]

[tex]b^2=36-12[/tex]

[tex]b^2=24[/tex]

Putting [tex]h=0,k=0,a^2=12,b^2=24[/tex], we get

[tex]\dfrac{(y-0)^2}{12}-\dfrac{(x-0)^2}{24}=1[/tex]

[tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex]

Therefore, the equation of hyperbola is [tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex].

Answer:

the person above has the right answer. I took the test.

Step-by-step explanation:

The person above is correct.

Answer:

250%

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

[tex]\frac{3ab}{2c}[/tex]

Step-by-step explanation:

An algebraic expression is an expression consists of constants, variables, and the algebraic operations: addition, subtraction, multiplication and division.

Given: algebraic expressions are [tex]3ab,2c[/tex].

To divide: [tex]3ab[/tex] by [tex]2c[/tex]

Solution:

[tex]\frac{3ab}{2c}[/tex]

There are no common terms in numerator and the denominator.

So, answer is [tex]\frac{3ab}{2c}[/tex]

Answer:

x = 48.59 degrees

Step-by-step explanation:

Do sin-1(12/16) and put it in a calculator. After that, you will get your final answer as 48.59 degrees. This requires sin because the opposite angle is 12 for x. The adjacent angle is something else.

Answer:

True, True, False.

Step-by-step explanation:

A) Rise/Run is 8/1

B) 8 dollars are earned every hour

C) Correct equation is y=8x

Answer:

80%

Step-by-step explanation:

Let's call the past exam mark m,

m*105%=84

m*105/100=84

m=84/(105/100)

m=80

Hope this helps!

Answer:

80

Step-by-step explanation:

new value = 84

old value = n

can use percent change formula:  (new value - old value) / old value = 5/100

[tex]\frac{84-n}{n}[/tex] = [tex]\frac{5}{100}[/tex]

cross-multiply (you can simplify 5/100 to be 1/20 first):  20(84 - n) = n

1680 - 20n = n

1680 = 21n

n = 80

Answer:

probably 25

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

v = s^3

v = (4)^3 [4x4x4]

v = 64

Discount amount = price x discount percentage as a decimal:

Discount amount = 62.00 x 0.15 = 9.30

Discount = $9.30

Answer:

$52.70

Step-by-step explanation:

Answer:

k = ±6

Step-by-step explanation:

guess your question is 4k²–144 = 0??

4k² = 144

k² = 36

k²–36 = 0

(k+6)(k–6) = 0

k+6 = 0 | k–6 = 0

k = –6, k = 6.

Alternatively; k = ±6.

Answer:

The widgets should be sold for $26.7 for the company to make the maximum profit.

Step-by-step explanation:

Given the quadratic equation

[tex]f\left(x\right)=-15x^2+801x-59000[/tex]

As the leading coefficient is (-3), so the graph would be a downward Parabola.

Thus, the maximum profit would be at the vertex.

The selling price 'x' can be determined by determining the x-coordinate of the vertex.

In order to calculate the x-coordinate of the vertex, we can find this by

x = -b/2a

where a = -15 and b = 801

x = -801 / 2(-15)

x = -801/-30

x = 801/30

x = 267/10

x = 26.7

Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.

Answer:

He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6

Step-by-step explanation:

8·11= 88

11-5= 6

Answer:

Step-by-step explanation:

because we have a kite,

AB=AD

4x=x+15

4x-x=15

3x=15

x=5

Answer:

[tex]a) \: y = \frac{4}{ {x}^{2} }[/tex]

[tex]b) \: x = \frac{2}{5} [/tex]

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer: are there choices?

Step-by-step explanation:

Answer:

$100

Step-by-step explanation:

From the question, we are given the following

Rental price of the truck

percentage off coupon = 50%

Required

Sale tax of the truck rental

Sale tax of the truck rental = 50% of the truck price

Sale tax of the truck rental = 50% of $200

Sale tax of the truck rental = 50/100 * 200

Sale tax of the truck rental = 0.5 * 200

Sale tax of the truck rental = $100

Hence the sale tax of the truck rental is $100

Step-by-step explanation:

first geometric sequence

3^1, 3^2 ,3^3, 3^4,......

3, 9, 27, 81.......

second

5^1, 5^2, 5^3, 5^4,........

5, 25, 125, 625,........

third

2, 10, 18, 26,.....

which has the difference of 8

fourth

100, 90, 80, 70,......

Answer:

0,1,2,3 is the domain

-2,1,2,4 is the range

Answer:

12%

Step-by-step explanation:

We can get SI of 3 years = 12005 - 9800 = 2205

SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]

Principal = 12005 - 3675 = 6125

So Rate = (100*3675)/(6125*5) = 12%

Answer:

18.75 meters

Step-by-step explanation:

8.75 + 0.25(40) = 18.75

Answer:

The correct answer is 10n ≥ 470.

Step-by-step explanation:

Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.

They already collected 30 canned goods, therefore we can subtract this quantity from out goal.

500 - 30 = 470

Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.

Hope this helps! :D

Answer:

D 5x + 13 = 12

Step-by-step explanation:

3 + 5(x + 2) = 12

3 + 5x + 10 = 12

5x = -1

x = -1/5

D) 5x + 13 = 12

5x = 12 - 13 = -1

x = -1/5

Answer:

50

Step-by-step explanation:

Answer: the answer is 50

Step-by-step explanation:

Answer:

5/6 is greater than 4/5

Step-by-step explanation:

4/5 = 0.8

5/6 = 0.833333

Answer:

no

Step-by-step explanation:

5/6 is greater than 4/5

Answer:

Harry has a score of 30

Step-by-step explanation:

Let us represent their scores as:

Nathan = x

Harry = y

Jack = z

At the end of a football season a coach is adding up everyone's scores

Nathan has scored 11 more than harry

x = y + 11

Harry has scored 10 more then jack.

y = z + 10

z = y - 10

If the total of their scores is 91

x + y+ z = 91

y + 11 + y + y - 10 = 91

3y + 1 = 91

3y = 91 - 1

3y = 90

y = 90/3

y = 30

Since Harry's score is represented as y, Harry has a score of 30