Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AD=3AD=3 and AC=12,AC=12, what is the length of \overline{AB}? AB ? (Note: the figure is not drawn to scale.)

Answer: 44

Step-by-step explanation:

Since ABC=DBC. that means A=D so that would mean 44=D since A=44 and they’re both congruent (equal)

Answer:

its 44

Step-by-step explanation:

Answer: 2/3x + 15

Step-by-step explanation:

(⅚x + 10) - (⅙x -5)

The first thing to do here is to open the bracket. This will be:

= ⅚x + 10 - ⅙x + 5

= ⅚x - ⅙x + 10 + 5

= 4/6x + 15

= 2/3x + 15

Answer:

D

Step-by-step explanation:

B and C aren't correct

Answer:

domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Step-by-step explanation:

We are given;

Total students for the fruit cup party = 18

Total teachers for the fruit cup party = 2

Cost of each fruit cup =$ 3

Delivery charge = $ 10

Now, the total number of people attending the party = Total number of students + Total number of teachers

Thus;

Total number of people attending party = 18 + 2 = 20

Since cost of each fruit cup is $3.

Thus, for 20 fruit cups, the function is;

f(x) = 20x where x is cost of each fruit cup.

It means the cost of 20 fruit cups = $3 × 20 = $60

Thus, domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Answer:

I hope this helps:)

Step-by-step explanation:

hey i dont know it im just doing a glitch right now

Answer:

G

Step-by-step explanation:

I think its G because i counted the numbers...and i pretty sure its not a Negative so yah

Answer:

Domain → x > 0

Solution → x = 100

Step-by-step explanation:

Given equation is,

[tex]x^{0.5\text{logx}}=0.01x^2[/tex]

Since, log of any number 'x' is defined when x > 0

Therefore, domain of the equation → x > 0

By taking log on both the sides of the equation,

[tex]\text{log}(x^{0.5\text{logx}})=\text{log}(0.01x^2)[/tex]

0.5(logx)(logx) = log(0.01) + log(x²)

0.5(logx)²= -2 + 2log(x)

Let log(x) = a

Then the equation becomes as,

0.5a² = -2 + 2a

0.5a² - 2a + 2 = 0

a² - 4a + 4 = 0

(a - 2)² = 0

a = 2

Since, a = log(x)

log(x) = 2

x = 10²

x = 100

Therefore, solution of the given equation is x = 100.

[tex]\boxed{\boxed{\pink{\tt \leadsto The \ domain \ of \ x \ is \ (0,\infty ). }}}[/tex]

A equation is given to us and need to find the domain of the equation . So , given equation is ,

[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 [/tex]

Now , let's simplify this equation to find the domain of x .

[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 \\\\\bf\implies x^{0.5\:log\ x } -0.01x^2 =0 \\\\\bf \implies x^{log \:x^{\frac{1}{2}}} - 0.01x^2=0 \\\\\bf\implies x^{log \ \sqrt{x}} - 0.01x^2=0 [/tex]

Now set the argument in log( √x) Greater than or equal to zero to see where the expression is defined. Since the value of log is non - negative.

[tex]\bf\implies \sqrt{x} > 0 \\\\\bf\implies (\sqrt{x})^2>0^2 \\\\\bf\implies x>0\\\\\bf\implies \boxed{\red{\bf x \in ( 0, \infty ) }}[/tex]

In set builder Notation we can write as ,

[tex]\boxed{\red{\bf \{ x | x > 0 \} }}[/tex]

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

6(x - 1) = -72

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -72 does indeed equal -72.

∴ x = -11 is a solution to the equation.

Answer:

x = - 11

Step-by-step explanation:

Given

6(x - 1) = - 72 ← divide both sides by 6

x - 1 =  - 12 ( add 1 to both sides )

x = - 11

Explanation:

Despite there only being one line shown, there are actually two lines here. One just happens to be directly on top of the other.

We can see this by noting that 2y = 3x-1 turns into 4y = 6x-2 when we multiply both sides by 2. Multiplying both sides by the same number keeps the same equation, so that's why we have identical graphs.

The two identical graphs intersect each other infinitely many times, leading to infinitely many solutions. All solutions are (x,y) points on the blue line. Two such solutions are (1,1) and (3,4). All solutions are of the form [tex]\left(x, \frac{3x-1}{2}\right)[/tex]

Answer:

Slope: -1/3

y intercept: -2

Answer:

7.1 and 7.2

Step-by-step explanation:

if you look on the number line 51 is in between what two numbers

Answer:

C

Step-by-step explanation:

Answer:

$53.06

Step-by-step explanation:

Answer:

$53.06

Step-by-step explanation:

Answer:

x = 3

4^2 + x^2 = 5^2

solve for x

16 + x^2 = 25

x^2 = 25-16

x^2 = 9

sqrt of x^2 = 3

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Hope this helps! If so, please mark my answer as brainliest!

Answer:

$88.3

Step-by-step explanation:

Here 42% of annual health premium($5450)=*5450

                                                                     =$2289

This amount is being paid by the company means it is deducted amount in one year.

One year has 26 paychecks so above amount divided by 26 is rebate amount in each paycheck.

Deducted amount=

                              =$88.30

Answer:

B.(0,-1)

Step-by-step explanation:

Answer:

B.(0,-1)

Step-by-step explanation:

i just got it right

Answer:

C

Step-by-step explanation:

Ms. Barcht's savings account can be modeled with the expression

50 + 25x

Mrs. Greene's savings account can be modeled with the expression

75x

Since the question is how many weeks Mrs. Greene will have more money than Ms. Bracht. we use an inequality to contain the all the solutions.

Mrs.Greene > Ms. Bracht

75x > 25x + 50

Answer:

The answer would be C. 75x>25x+50

Step-by-step explanation:

The answer would be C. because Ms. Barcht started with $50 and deposits $25 every week while Mrs. Greene saves $75 a week. 7 days is a week so lets multiply $25 x 2 (2 weeks). Ms. Barcht would have $100 by the end of 2 weeks and Mrs. Greene would have $150 by the end of 2 weeks because $75x2 is $150

Hope this helps.

Answer:

Eq 1) x^2 + x - 6

Factors are : x-2(x+3)

Eq 2) 2x^2 + 4x + 0

Factor out 2x

Factors are: 2x(x+2)

Answer: 2x(to the fourth power) + 6x (to the third power) - 8x (to the second power) - 24x

Step-by-step explanation:

Please find attached photograph for your answer.

Answer:

a. 754cm³ (3 s.f.)

b. 415cm² (3 s.f.)

Step-by-step explanation:

Formulas (for easier reference):

Volume of cone: [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

Volume of hemisphere: [tex]\frac{2}{3}[/tex][tex]\pi[/tex]r³

Surface area of cone without base: [tex]\pi[/tex]rl

Surface area of hemisphere without base: 2[tex]\pi[/tex]r²

We can just apply the formulas for the question:

Volume of toy = ([tex]\pi[/tex] × 6² × [tex]\frac{8}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\pi[/tex] 6³)

                        = 96[tex]\pi[/tex] + 144[tex]\pi[/tex]

                        = 240[tex]\pi[/tex]

                        = 754cm³ (3 s.f.)

Surface area of toy = ([tex]\pi[/tex] × 6 × 10) + (2 × [tex]\pi[/tex] × 6²)

                                = 60[tex]\pi[/tex] + 72[tex]\pi[/tex]

                                = 132[tex]\pi[/tex]

                                = 415cm² (3 s.f.)

Answer:

yep

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

2x + 6 is equal

Answer:

Total boxes= 75

Step-by-step explanation:

Giving the following information:

A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats.

First, we need to determine the number of bats that fits into a box:

Bats per box= 24,000 / 50

Barts per box= 480

Now, the number of boxes for 36,000 bats:

Total boxes= total bats / bats per box

Total boxes= 36,000/480

Total boxes= 75

Answer:75

Step-by-step explanation:

Bats 24000/50

Box 480

Answer:

9

Step-by-step explanation:

18/2=9