a ladder 7.5m long rests against a wall . the botton of ladder is 2.1m from the wall . calculate how far the ladder reaches up the wall.​

Step-by-step explanation:

Eliminate the x:

[tex]\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by (-3)}\\\\\left\{\begin{array}{ccc}-3(x-2y)=(-3)(6)\\3x+y=4\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-3x+6y=-18\\3x+y=4\end{array}\right}\\.\qquad\qquad7y=-14\\.\qquad\qquad y=-2[/tex]

Eliminate the y:

[tex]\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by 2}\\\\\left\{\begin{array}{ccc}x-2y=6\\2(3x+y)=(2)(4)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x-2y=6\\6x+2y=8\end{array}\right}\\\\.\qquad7x=14\\.\qquad x=2[/tex]

Answer:

They bought 20 plants

Step-by-step explanation:

If you minus the total 750- 250 of potting supplies it leaves you with 500.

Divide 500/ 25 = 20

Answer:

20 plants

Step-by-step explanation:

500 divided by 25 = 20

have a nice day

Answer:

z = -5

Step-by-step explanation:

Hi there!

We are given the equation 57 = -10z + 7, and we want to solve for z

In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.

So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:

57 = -10z + 7

-7             -7

_____________

50 = -10z

Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10

If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10

[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]

Divide, and cancel:

The zeros cancel out, leaving the equation as:

[tex]\frac{5}{-1} = \frac{-1z}{-1}[/tex]

Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number

So 5/-1 will become -5, while -1z/-1 will become 1z, or z

Hence:

-5 = z, or written the other way: z = -5

We found z.

Hope this helps!

Answer:

-37

Step-by-step explanation:

The answer is -37

Hope this is the answer u needed have a great rest of ur day

Answer:

the answer is -37

Step-by-step explanation:

hope this helps have a good rest of your night :)❤

Answer:

B.15

Step-by-step explanation:

The answer is 15 because we can identify this shape as a quadrilateral kite

So, we know that a quadrilateral kite has two pairs of congruent adjacent sides

Therefore AB = AC and BD = DC

Answer:

Price of a notepad in terms of k ⇒ (k - 8)/4

Step-by-step explanation:

Let the price of a notepad be n.

8 + 4n = k

In order to get the answer, we've to make n as the subject of the above equation.

8 + 4n = k

4n = k - 8

n = (k - 8) / 4

Answer:

see below

Step-by-step explanation:

neither would be used because for an exponential, it would be a constant increasing or decreasing, and same thing for the logarithmic. This function has a consistent wave pattern.

1. 600, y intercept is when the study began

A graph can be modeled by several functions such as exponential function, logarithm functions, linear functions, quadratic functions, etc.

The function type

An exponential function and a logarithmic function would either increase through its interval or decrease through its interval.

These functions would not increase and then decrease or decrease and then increase at different intervals.

From the attached graph, we can see that the graph increases and decreases at several intervals.

Because of this changes in the graph behavior, the graph cannot represent an exponential function or a logarithmic function.

The y-intercept

The graph cross the y-axis at y = 600.

Hence, the y-intercept is 600

Read more about exponential and logarithmic functions at:

https://brainly.com/question/3181916

Answer:

s> 144 2/3

Step-by-step explanation:

I took the test in k12 and i got it right so yea !

Answer: the other person was right

Step-by-step explanation:

Answer:

0.1818

i hope it helped you :)

mark brainliest

Answer:

I wish I could help but I don't know

Answer:

D is correct

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

0.045 is greater than 0.00195

Answer:

x = 3.6

Step-by-step explanation:

If 2 chords of a circle intersect then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

5x = 6 × 3 = 18 ( divide both sides by 5 )

x = 3.6

Using the intersecting chord theorem, the value of x is 3.6 cm

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given the parameters as;

the length of chords = x + 5 and 9 cm.

Using the intersecting chord theorem,

We know that If two chords of a circle intersect then the product of the parts of one chord is equal to the product of the parts of the other chord, that is;

5x = 6 × 3

5x = 18

Now divide both sides by 5

x = 3.6

Learn more about circle here;

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#SPJ2

Answer:

3,4

Step-by-step explanation:

Answer: He biked 4 and 3/8 miles

Step-by-step explanation:

since he ran 1.25 miles and biked 3.5 times farther than that you'd multiply both numbers and get 4.375 which simplifies to 4 and 3/8

Answer:

C   132°

Step-by-step explanation:

The measure of <ABG is the sum of the measures one exterior angle of each polygon.

The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.

In a regular polygon, all exterior angles are congruent.

Measure of one exterior angle of a regular pentagon:

360°/5 = 72°

Measure of one exterior angle of a regular hexagon:

360°/6 = 60°

m<ABG = 72° + 60°

m<ABG = 132°

You are correct.

Answer:   C   132°

Answer:

[tex] \frac{13}{50} to \: \frac{12}{25} [/tex]

Answer:

0

Step-by-step explanation:

Answer:

D) 1530

Step-by-step explanation:

I used Desmos :)

Answer:

x = -5

Step-by-step explanation:

If g(x)= 3x - 12, and g(x)= -27 then -27 = 3x -12

Solve for x

     -27 = 3x -12, add 12 to both sides

-27+12 = 3x, add -27+12

     -15 = 3x, divide both sides by 3

      -5 = x

Answer:-93

Step-by-step explanation:

g(x)=3x-12

g(x)=3(-27)-12   -  Substitute

g(x)=-81-12        -  Multipy

g(x)= -93             - Add

Answer:

a) 2400m on the 20th day for Charlie.

1) 728.41m of 20th day for Daniella.

Didn't find n, sorry.

Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness program.

It is given that Charlie and Daniella on day one both ran 500m on each subsequent day.

Charlie ran 100m more than the previous day.

Daniella increased her distance by 2% of the distance run on the previous day.

It is required to calculate how far Charlie and Daniella ran on day 20 and the value of n.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Charlie ran 500m on the first day:

[tex]\rm a_1 = 500[/tex]

[tex]\rm a_2 =600[/tex] ( because charlie ran 100m more than the previous day)

It is an arithmetic progression in which the difference between two consecutive terms:

d = 600 - 500 ⇒ 100

and [tex]\rm a_n = a+d(n-1)[/tex]

[tex]\rm a_2_0 = 500+100(20-1)\\\\\rm a_2_0 = 2400m[/tex]( ∵ n = 20 )

Daniella ran 500m on the first day:

[tex]\rm b_1 = 500[/tex]

[tex]\rm b_2 = 500+ 500\times2 \%[/tex]  (because Daniella increased her distance by 2% of the distance run on the previous day)

We can write [tex]\rm n^t^h[/tex] terms:

[tex]\rm b_n= 500(1+2\%)^n^-^1[/tex]

[tex]\rm b_2_0= 500(1+2\%)^2^0^-^1[/tex]

[tex]\rm b_2_0= 500(1+0.02)^1^9\\\\\rm b_2_0 = 500\times 1.02^1^9\\\\\rm b_2_0 = 500\times1.456 \Rightarrow 728.40 \approx 728 m[/tex]

[tex]\rm b_n > a_n[/tex]  (given in the question)

[tex]\rm500(1+2\%)^n^-^1 > 500+100(n-1) \ \ or \\\\\rm500(1+2\%)^n^-^1 > 100n+400[/tex]

The above expression is not true for all the values of 'n' ie. 'n' can not be determined.

Thus, Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness programme.

Learn more about the sequence here:

brainly.com/question/21961097

Answer:

Step-by-step explanation:

Answer:

no its not a proportion

Step-by-step explanation:

because the line has to be straight unless the graph is scrap

Answer:

"Yes, it is a proportional relationship because the graph is a straight line"

Step-by-step explanation:

Your welcome ^^

See the attached image for the steps.

x = 9.

Identities used :-

(a + b)² = a² + 2ab + b²

Theory used :-

Pythagorean theorem (Hypotenuse² = Base² + Altitude²).

______

RainbowSalt2222 ☔

Answer:

Step-by-step explanation:

11)  $175(1 - 0.30)(1 + 0.06) = $129.85

12) slope is 2, so basic equation is

y = 2x + b

plug in your desired point

-5 = 2(-4) + b

b = 3

y = 2x + 3

Answer:

a. P(male) = 0.4

b. P(no sport and male) = 0.1

c. Unclear question (isn't it the same as b.?)

Step-by-step explanation:

The data below is what I've worked according to, which isn't very clear from the question so the answers are only correct if this is the correct table of data;

[tex]\left[\begin{array}{ccc}&No \ Sports&Sports\\Female&10&32\\Male&7&21\end {array}\right][/tex]

a.

[tex]P(male) = \frac{7 + 21}{70} \\\\ = \frac{28}{70} \\\\ = \frac{2}{5}[/tex]

b.

Using the tree diagram in the picture;

[tex]P(no \ sport \ and \ male) = \frac{2}{5} * \frac{1}{4} \\\\ = \frac{1}{10}[/tex]

Answer: the difference if that 5.4 is not a negative number they are relatied because it takes them both 5.4 ,3 moves to get to 0

Step-by-step explanation:

Answer:

B) A line with a positive slope increases as it is viewed from left to right.

Step-by-step explanation:

A line with a positive slope increases as it is viewed from left to right.

A positive slope means that as a line on the line graph moves from left to right, the line rises.

Hope this helps :)

a. There are 4 terms in the expression

b. There are 3 factors in the first term.

c. The constant is 16.

8ab + 3b + 16 - 4a

A term is any signed number, a variable, or a constant  multiplied by a

variable or variables.

Therefore, the terms are 8ab,  3b,  16, and -4a. The terms are 4 in numbers.

The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.

The term that is a constant is 16

read more: https://brainly.com/question/25736532?referrer=searchResults

Answer:

First numerator and second denominator

9514 1404 393

Answer:

  (c)  y=2^x

Step-by-step explanation:

You can check each of the offered functions to see which one fits. It is often informative to check the last of the offered points.

  5^2 ≠ 32

  2×5 ≠ 32

  2^5 = 32 . . . . . a good candidate

  5 +2 ≠ 32

Only the third choice matches the given ordered pairs.

__

If you're trying to figure out the function, it is often useful to look at the differences between given values. The x-values differ by 1. The y-values differ by 2, 4, 8, 16. These are not constant, so the function is not linear (eliminates B and D). These differences don't have a common difference, so the function is not quadratic (eliminates A).

Both the y-values and their differences have a common ratio of 2, a strong indicator this is an exponential function with a base of 2 (matches C).