The Pythagorean Theorem, given by the formula a^2 + b^2 = c^2 , relates the three sides of a right triangle. Solve the formula for the positive value of a in terms of b and c.

Answer:

12 foot.

Step-by-step explanation:

Given that,

A ladder leans a 15 foot ladder against a second story window.

The distance on the ground between the base of the ladder and the house is 9 feet.

We need to find the height of the ladder. Let it is h.

If we consider a right angles triangle such that 15 foot is hypotenuse, 9 feet is base, then we need to find the perpendicular height of the triangle. Using Pythagoras theorem to find it.

So, the height of the ladder that reaches the second story window is 12 foot.

Step-by-step explanation:

A.

[tex]f(x) = \sqrt{x - 2} [/tex]

B.

[tex]g(x) = 2x [/tex]

C.

[tex]h(x) = \frac{1}{x - 2 \: } \: \: \: \: h(x) = x where x is greater than zero

Answer:

11/12 is the fraction that is closer to 1.

Answer:

11/12

Step-by-step explanation:

11/12 is only one unit away from becoming whole, (1), while the other options are 3, 2, and 5 units away from becoming whole.

Answer:(3,-1)

Step-by-step explanation:

Answer: D. f(x)-2

Step-by-step explanation:

Changes insides the parenthesis translate left and right. If it is [+] a number, then it is moving to the left. If it is [-] a number, then it is moving to the right.

Changes outside the parenthesis translate up and down. If it is [+] a number, then it is moving upward. If it is [-] a number, then it is moving downward.

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Given

Translate f(x) 2 units downward

Solve

According to the rules, it should be -2 units outside of the parenthesis

Therefore, it should be f(x)-2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

D. f(x) – 2

Step-by-step explanation:

Answer:

500 miles

Step-by-step explanation:

Please mark as brainliest.

Given:

The two points on the graph are R(-2,-4) and S(-8,-6).

To find:

The length of RS.

Solution:

Distance formula: The distance between two points is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between R(-2,-4) and S(-8,-6) is

[tex]d=\sqrt{(-8-(-2))^2+(-6-(-4))^2}[/tex]

[tex]d=\sqrt{(-8+2)^2+(-6+4)^2}[/tex]

[tex]d=\sqrt{(-6)^2+(-2)^2}[/tex]

[tex]d=\sqrt{36+4}[/tex]

On further simplification, we get

[tex]d=\sqrt{40}[/tex]

[tex]d=6.32455532[/tex]

[tex]d\approx 6.3[/tex]

Therefore, the length of AB is about 6.3 units. So, the correct option is C.

Answer:

c

Step-by-step explanation:

Answer:200

Step-by-step explanation:

Answer:

1.22 dollars after sales tax

Answer:

x = 1/12

Step-by-step explanation:

2/3x + 1/4 = (8x+3) /12   (create equivalent fractions with a denominator of 12)

23/3x - 1/3 = (23x - 1) /3            *(46/6x = 23/3x)

8x + 3  =  23x - 1

    12            3

now cross-multiply:

3(8x + 3) = 12(23x - 1)

24x + 9 = 273x - 12

9 = 252x - 12

21 = 252x

x = 21/252 which reduces to 1/12

Answer:

1/12

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

2x = 5

x = 5/2 = 2.5

I hope im right!!

Answer:

Your answer is 4

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Answer:

y=4x-5

Step-by-step explanation:

the slope intercept equation is y=mx+b

m=slope and b=y intercept

the slope is the change in y over the change in x and as y goes up 8 x goes over one 8/2=4 so the slope (m) is 4

The y intercept is at (0,-5) so b is -5

if we add it all together we get that the slope intercept equation is y=4x-5

Answer: y= 1/2x+2

Step-by-step explanation:

Answer:

8 parts

Step-by-step explanation:

1. AD≅BC                                                                Given

2. AD║BC                                                                Given

3. ∠DAC and ∠BCA                                                Def. of alt.

are alt. interior  angles                                          interior angle

4. ∠DAC ≅ ∠BCA                                           alternate interior angle theorem

5. AC ≅ AC                                                       reflexive property

6. ΔDAC ≅ ΔBCA                                                     SAS

7. AB ≅ CD                                                              CPCTC

8. ABCD is a parallelogram                                parallelogram side theorem

The proof of ABCD is a parallelogram is given in the solution.

In geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

The proof is as follows :-

AD≅BC (Given)

AD║BC (Given)

∠DAC and ∠BCA (alternate angles)

∠DAC ≅ ∠BCA (alternate angle)

AC ≅ AC (common)

ΔDAC ≅ ΔBCA (SAS rule)

AB ≅ CD (CPCT)

Hence,

ABCD is a parallelogram (by the definition of parallelogram)

Hence, proved.

Learn more about parallelogram, click;

https://brainly.com/question/29147156

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Answer:

0.64 is a decimal and 64/100 or 64% is the percentage for 64/100.

Step-by-step explanation:

Answer:

64/100 = 0.64

Step-by-step explanation:

64/100=0.64

(i don't know how to explain it)

Answer:

6

Just use a calculator

Answer:

She will make 33 hair ribbons on Thursday

Step-by-step explanation:

Each day, 6 extra hair ribbons are made. This pattern supposedly continues.

Hope this helps! :)

Answer:

[tex]\frac{10}{11}[/tex]

Step-by-step explanation:

The formula for the trigonometric function sin is:

[tex]sin[/tex]Ф[tex]=\frac{opposite}{hypotenuse}[/tex]

The side opposite to the ∠g is x, which is equal to 10

[tex]opposite=x[/tex]      [tex]x=10[/tex]

the hypotenuse of the triangle is z, which is equal to 11

[tex]hypotenuse=z[/tex]    [tex]z=11[/tex]

so the ratio is:

[tex]\frac{10}{11}[/tex]

plz mark me brainliest. :)  

Answer:

1= NUMBER 6 IS NOT LESS THAN -3, 6 IS MORE THAN -3

2=23 IS GREATER THAN -17

Step-by-step explanation:

BIG BRAIN

HOPE THIS HELPS

Let Asia's and Rani's age be "x"

Since Asia is 10 years bigger Asia will be "x+10"

Asia's Age + Rani's Age = 200

x + x + 10 = 200

2x + 10 = 200

2x = 200 - 10

2x = 190

x = 190

     -----

       2

x = 95

Asia = x + 10

          95 + 10

          105

Rani's age is 95 and Asia's Age is 105

Answer:

y=4/5x+8

Step-by-step explanation:

in order to find the slope intercept form of a line the first step you have to take is finding where the line meets the y-axis

in this case it would be at (0,8)

so therefore 8 would be your y-intercept (which we label as B)

then in order to find the slope, what i do is find the next point in the middle of the graph (-5,4)

and then i find the distance between the y-intercept and the next point

and in order to do this i first take 8 and subtract by 4 in order to get to (0,4)

and then it moves to the left so i also subtract -5 because the next point is located on (-5,4)

so when doing this it creates our equation of y=mx+b

and that turns into y=4/5x+8

desmos is also a website that can help you with graphing and visualizing things out as well and can also be useful for trial and error when it comes to slopes and graphs and what not.

anyways hope this helps!

if it did please make sure to rate it, leave a like, and give me the brainliest!

have a great day!

Answer:

its B

Step-by-step explanation:

They are all direct variations

Answer:

Step-by-step explanation:

m = 5 + 10d

The variable "d" is the independent variable because its value does not depend on another variable. The variable "m" is the dependent variable because its value depends on the value of the variable "d"

13=9+m, 7-m=3 and im not sure about the third answer

Answer:

A = (-4,-4) B = (-2,-2) C = (-5,-1)