A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall

Answer:

[tex]xy(x + y)(x - y)[/tex]

Step-by-step explanation:

[tex] {x}^{3}y - x{y}^{3} [/tex]

Taking xy common ,

[tex] = > xy( {x}^{2} - {y}^{2} )[/tex]

We know that

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b) [/tex]

So,

[tex] = > xy(x + y)(x - y)[/tex]

Answer:

happy late new year!

Step-by-step explanation:

~evita

Answer:

ball 132

Step-by-step explanation:

Answer:

[tex]Total\ Charge = 58[/tex]

Step-by-step explanation:

Given

The question is completed using the attachment

From the attachment,

[tex]Base\ Charge = 30[/tex]

[tex]Hourly\ Rate = 7/hour[/tex]

Required

Determine the total charges for 4 hours

The total charge will be calculated using:

[tex]Total\ Charge = Base\ Charge + Hourly\ Rate * Number\ of\ hours[/tex]

This gives:

[tex]Total\ Charge = 30 + 7* 4[/tex]

[tex]Total\ Charge = 30 + 28[/tex]

[tex]Total\ Charge = 58[/tex]

Hence, the total charges for 4 hours is #58

Answer:

X✓X✓✓X

Step-by-step explanation:

Answer:

2/12

3/18

4/24

Step-by-step explanation:

Answer: 48:104

Step-by-step explanation: 48 is the amount of pencils 48+56=108 is the total

Answer:

-8.2≥4x

Step-by-step explanation:

theres really not much to it ≥ means greater than or equal to and ≤ means less than or equal to

Answer:

The answer to this is SAS

Answer:

404

Step-by-step explanation:

Given the expression

g(x) = 2x and h(x) = x^2 + 4

Find hoh(-4)

First we need to find (hoh)(x)

(hoh)(x) = h(h(x))

h(h(x)) = h(x^2+4)

h(x^2+4) = (x^2+4)²+4

h(x^2+4) = x⁴+8x²+16 + 4

h(x^2+4) =  x⁴+8x²+20

h(h(x)) = x⁴+8x²+20

when x = -4

h(h(-4)) = (-4)⁴+8(-4)²+20

h(h(-4)) = 256+128+20

h(h(-4)) = 404

Hence hoh(-4) is 404

Answer:

2.) 0.10 (3.) 0.10 (4.) 2.43

Step-by-step explanation:

Given that:

x p(x)

0 0.12

1 0.18

2 0.30

3 0.15

4

5 0.10

6 0.05

X : __0__ 1 ___ 2 ___ 3 _____ 4 ____ 5 ____ 6

p(x):0.12_0.18_0.30_0.15__0.10___0.10 ___0.05

Σ of p(x) = 1

(0.12 + 0.18 + 0.30 + 0.15 + x + 0.10 + 0.05) = 1

0.9 + x = 1

x = 1 - 0.9

x = 0.1

2.)

P(x = 4) = 0.10

3.)

P(x = 5) = 0.10

4.)

Σ(x * p(x)) :

(0*0.12) + (1*0.18) + (2*0.3) + (3*0.15) + (4*0.1) + (5*0.1) + (6*0.05) = 2.43

Answer:

x=59

Step-by-step explanation:

3x+3=180

3x=177

x=59

Answer:

No its not a

Step-by-step explanation:

what is the answer because a is not right. I did the quiz and got it wrong

Answer:

it is answer b.  

Answer:

15/25 cuz 25 is the total and there's 15 milk. 2nd as dark chocolate would then be 10/24 cuz you've already taken one chocolate. Multiply by both would be 3/5 × 5/12 = 1/4. Percentage would then be 1/4 = 0.25 , and multiply that by 100% would then be 25%

Answer:

probability of getting milk chocolate =3/5

while

the probability of getting dark chocolate is 2/5

Step-by-step explanation:

milk chocolate=15

dark chocolate=10

there fore total=25

probability of getting milk chocolate=15/25. =3/5

while

the probability of getting dark chocolate=10/25=2/5

that's the method I know but I'm sorry if I got it wrong

I hope u get what you are looking for

Answer: 1675 feet

Step-by-step explanation: Starting at 3080 feet she falls 1710. We subtract 1710 from 3080 and get her position at 1370 feet above the ground. She then rises 35 feet. 1370+35 = 1405 feet above the ground.

We know that the plane is 3080 feet above the ground, and that Natalie is only 1405 feet above the ground. We just have to find the difference in their positions in order to find out how far she actually is from the plane. 3080-1405 = 1675 feet

Answer:

x = 4

Step-by-step explanation:

[tex] \sin \: 45 \degree = \frac{x}{4 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{4 \sqrt{2} } \\ \\ \sqrt{2} \: \: x = 4 \sqrt{2} \\ \\ x = \frac{4 \sqrt{2} }{ \sqrt{2} } \\ \\ x = 4[/tex]

Answer: -7

Step-by-step explanation:

Each snack cost $5.50

You start with $45, and afterwards end up with $12, so subtract 12 from 45 and you end up with 33. Then divide 33 by 6, since she bought 6 snacks, and you get $5.50.

Step-by-step explanation:

Remember the identity sin²x + cos²x = 1.

Therefore 1 - cos²x = sin²x and 1 - sin²x = cos²x.

sqrt(1 - cos²x) / sinx + sqrt(1 - sin²x) / cosx

= sqrt(sin²x) / sinx + sqrt(cos²x) / cosx

= sinx / sinx + cosx / cosx

= 1 + 1

= 2. (H)

Answer:

d

Step-by-step explanation:

it is d, because functions will only have 1 equation until worked out.

hope this helped ;)

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ 22nd \ term \ is \ 71. }}}[/tex]

Given that the nth term of the Arthemetic Sequence is given by :-

[tex]\implies f(n) = 8 + 3(n-1) [/tex]

And we need to find the 22nd term .

So in place of n substitute 22 .

[tex]\bf\implies f(n) = 8 + 3(n-1) \\\\\bf\implies f_{22} = 8 + 3(22-1) \\\\\bf\implies f_{22} = 8 + 3\times 21 \\\\\bf\implies f_{22} = 8 + 63 \\\\\bf\boxed{\bf\implies f_{22} = 71 }[/tex]

Answer:

Solving the system of equations we get:

x=2, y=4, z=-2

Step-by-step explanation:

We need to solve the system of equations

[tex]2x - y + 3z = -6\\-x + 2y - 3z = 12\\y + 5z = -6[/tex]

Let:

[tex]2x - y + 3z = -6--eq(1)\\-x + 2y - 3z = 12--eq(2)\\y + 5z = -6--eq(3)[/tex]

First we find value of y from equation 3

[tex]y+5z=-6\\y=-6-5z[/tex]

Put value of y in equation 1

[tex]2x - y + 3z = -6\\2x-(-6-5z)+3z=-6\\2x+6+5z+3z=-6\\2x+8z=-6-6\\2x+8z=-12---eq(4)[/tex]

Now, put value of y in equation 2

[tex]-x + 2y - 3z = 12\\-x+2(-6-5z)-3z=12\\-x-12-10z-3z=12\\-x-13z=12+12\\-x-13z=24--eq(5)[/tex]

Multiply equation 5 with 2 and add both equations 4 and 5

[tex]2x+8z=-12\\-2x-26z=48\\--------\\-18z=36\\z=\frac{36}{-18}\\z=-2[/tex]

So, we get z=-2

Now put value of z in equation 3

[tex]y+5z=-6\\y+5(-2)=-6\\y-10=-6\\y=-6+10\\y=4[/tex]

So, we get y=4

Now, put value of y=4, and z=-2 in equation 1

[tex]2x-y+3z=-6\\2x-4+3(-2)=-6\\2x-4-6=-6\\2x-10=-6\\2x=-6+10\\2x=4\\x=\frac{4}{2}\\x=2[/tex]

So, solving the system of equations we get:

x=2, y=4, z=-2

Answer:

AB is 15

Step-by-step explanation:

AB and BC are equal because the line that goes through the triangle is going through at a 90 degree angle, u can see that by the small square, and u know it's in the middle bc of the short lines on AD and DC, the short lines means that they are congruent, so:

5x = 4x + 3

subtract 4x from both sides

x = 3

Now u have x, put it in the equation

5x = 5(3) = 15

Answer:

C. [tex]Ax+By=C[/tex]

Step-by-step explanation:

Slope intercept form: [tex]y=mx+b[/tex]

standard form: [tex]Ax+By=C[/tex]

A. y = mx + b

B. y = mx - b

C. Ax + By = C

D. Ax – By = C

Answer:

[tex]\displaystyle y=\frac{2\sqrt{3}}{15}x+\frac{\pi-2\sqrt{3}}{6}[/tex]

Step-by-step explanation:

We want to find the equation of the line tangent to the graph of:

[tex]\displaystyle y=\sin^{-1}\left(\frac{x}{5}\right)\text{ at } x=\frac{5}{2}[/tex]

So, we will find the derivative of our equation first. Applying the chain rule, we acquire that:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{1-\left(\dfrac{x}{5}\right)^2}}\cdot\frac{1}{5}[/tex]

Simplify:

[tex]\displaystyle y^\prime=\frac{1}{5\sqrt{1-\dfrac{x^2}{25}}}[/tex]

We can factor out the denominator within the square root:

[tex]\displaystyle y^\prime =\frac{1}{5\sqrt{\dfrac{1}{25}\big(25-x^2)}}[/tex]

Simplify:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{25-x^2}}[/tex]

So, we can find the slope of the tangent line at x = 5/2. By substitution:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{25-(5/2)^2}}[/tex]

Evaluate:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{75/4}}=\frac{1}{\dfrac{5\sqrt{3}}{2}}=\frac{2\sqrt{3}}{15}[/tex]

We will also need the point at x = 5/2. Using our original equation, we acquire that:

[tex]\displaystyle y=\sin^{-1}\left(\frac{1}{2}\right)=\frac{\pi}{6}[/tex]

So, the point is (5/2, π/6).

Finally, by using the point-slope form, we can write:

[tex]\displaystyle y-\frac{\pi}{6}=\frac{2\sqrt{3}}{15}\left(x-\frac{5}{2}\right)[/tex]

Distribute:

[tex]\displaystyle y-\frac{\pi}{6}=\frac{2\sqrt{3}}{15}x+\frac{-\sqrt{3}}{3}[/tex]

Isolate. Hence, our equation is:

[tex]\displaystyle y=\frac{2\sqrt{3}}{15}x+\frac{\pi-2\sqrt{3}}{6}[/tex]

Answer:

A you can check it by substituting values into x like 5 and 6 then compare the E(X) value

The solution is :

The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

The slope of any linear function tells us the rate of increase in Y given 1 unit increase in X

[note the equation as y = mx+b ].

Here, m is the slope.

Jessica's weekly earning function is:

E(x) = 7x - 25

Where,

E(x) is her weekly earnings

x is the number of doors she knocks

So, when comparing this to the meaning of slope stated above, we can say that the slope of Jessica's function represents the rate of change of earnings in a week for every unitary change in number of doors knocked.

To learn more on slope click:

brainly.com/question/3605446

#SPJ7

Answer:

It’s B

Step-by-step explanation:

I just did it

Answer:

2/1

Step-by-step explanation:

Rise over run

Answer:

-2x

Step-by-step explanation:

As you can see the line is perpendicular the the given equation and passes through the point (-1,2).

Answer:

y=3x+5

Step-by-step explanation:

the equation x+3y=3 is in standard form (ax+by=c)

we can put it into slope intercept form (y=mx+b) to make it easier.

subtract x from both sides

3y=-x+3

divide by 3

y=-1/3x+1

Perpendicular lines have slopes that are opposite (one is negative and one is positive) and reciprocal, so if you mutiply them together, it will equal -1

use this equation:

-1/3m=-1

multiply by -3 on both sides

m=3

equation so far: y=3x+b (b is a placeholder)

since the equation passes through the point (-1,2), we can substitute it into the equation

2=3(-1)+b

2=-3+b

5=b

the equation is y=3x+5

Hope this helps!

Answer: 15:20

Step-by-step explanation:

18=6*3

24=6*4

now 15=5*3

20=5*4

Answer:THE answer IS 15:20

Step-by-step explanation:ToOk ThE TeSt PlS MaRk Me BrAiNlIeSt NeEd AwArD