What is the length of the unknown leg in the right triangle?

Answer:

x = 8, x = 2

Step-by-step explanation:

|2(x-5)|+11=17​

|2(x-5)| = 6

|(x-5)| = 3

x = 8 AND x = 2 because of the absolute value.

Brainliest, please :)

The solution of the given equation will be x = 2 and 8.

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

The expression is;

| 2 (x - 5) | + 11 = 17

Now, Solve the expression is;

| 2 (x - 5) | + 11 = 17

Subtract 11 both side,

| 2 (x - 5) | + 11 - 11 = 17 - 11

| 2 (x - 5) | = 6

Reduce modulus we get;

2 (x - 5) = ±6

Take positive sign,

2 (x - 5) = 6

x - 5 = 6/2

x - 5 = 3

x = 3 + 5

x = 8

And, Take negative sign,

2 (x - 5) = -6

x - 5 = -6/2

x - 5 = -3

x = 5 - 3

x = 2

Thus, The solution of the given equation will be x = 2 and 8.

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Step-by-step explanation:

a. 5x² - 80

b. 5(x² + 4x - 4x -16)

5(x² - 16)

5x² - 80

c. 5x² - 20x + 20x - 80

5x² - 80

d. 5x² - 11

D doesn't belong because 5x² - 11 is not the answer to A, B, or C.

Answer:

Commercial banks are funded through Customer deposits as well as with the fees charged against their services provided to customers. The Banks provide many services like funding to customers and many form loans, they also deposit their money.

Step-by-step explanation:

this is the correct answer happy

Answer:

CUSTOMER DEPOSITS

Step-by-step explanation:

CORRECT VIA EDMENTUM 2022

Answer:

The nth term of the sequence is -5n + 2 (or 2 - 5n)

Answer:

[tex]a_{n}[/tex] = - 5n + 2

Step-by-step explanation:

There is a common difference between consecutive terms , that is

- 13 - (- 8) = - 18 - (- 13) = - 5

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = - 5 , then

[tex]a_{n}[/tex] = - 3 - 5(n - 1) = - 3 - 5n + 5 = - 5n + 2

A cubic function is a function that has a power of 3, and three real roots.

The cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

The parent cubic function

[tex]\mathbf{f(x) = x^3}[/tex]

A transformed function of the cubic function may be

[tex]\mathbf{g(x) = -x^3}[/tex]

g(x) means that function f(x) is reflected across the y-axis.

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{g(x) = -f(x)}[/tex]

Substitute x^3 for f(x)

[tex]\mathbf{g(x) = -x^3}[/tex]

Hence, the cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

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The coordinates of point E on the given line CD is; Option C: (-5, -1)

We are given the points with coordinates;

C (-7 , - 4) and D(-1 , 5 )

Now, we are told that point E divides CD in the ratio 1:2.

Let coordinate of E be (x, y)

The formula to find (x, y) is;

x = (mx2 + nx1)/(m + n)

y = (my2 + ny1)/(m + n)

Where m:n is the ratio of the partition. Thus;

x = (1*-1 + 2*-7)/(1 + 2)

x = -15/3

x = -5

Similarly;

y = (1*5 + 2*-4)/(1 + 2)

y = -1

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Answer:

Length = 90 feet

Width = 70 feet

Step-by-step explanation:

    The area of a rectangle is found by finding the product of the length. Therefore, the following formula equation can be made:

[tex]A=lw[/tex]

    The problem tells us that the area of the garden is 6,300 square feet and that the length is 20 feet longer than the width. Therefore, our equation can be rewritten as such:

[tex]6300=(w+20)(w)~or~6300=w(w+20)[/tex]

Now that there are no longer two different variables, we can solve for w.

[tex]6300=w(w+20)\\\\6300=w^2+20w\\\\0=w^2+20w-6300[/tex]

    We are left with a trinomial so we'll use the quadratic formula to further solve for w.

[tex]w=\frac{-20\pm\sqrt{20^2-4(1)(-6300)} }{2(1)}\\\\w=\frac{-20\pm\sqrt{400+25200} }{2}\\\\w=\frac{-20\pm\sqrt{25600} }{2}\\\\w=\frac{-20\pm160}{2}\\\\\\w=70\\or\\w=-90[/tex]

    Since distance cannot be negative, w = -90 cannot be a solution for this problem. Therefore, the width of the rectangular garden is 70 feet.

    Now that the width has been found, we know the length is 20 feet longer than it. Therefore, the length is 90 feet.

[tex] \rm \frac{x}{5} + 2 \leqslant 6[/tex]

[tex] \rm x + 2 \leqslant 6 \times 5[/tex]

[tex] \rm x + 2 \leqslant 30[/tex]

[tex] \rm x \leqslant 30 - 2[/tex]

[tex] \rm x \leqslant 28[/tex]

[tex]\dfrac x5 +2 \leq 6 \\\\\\\implies \dfrac x5 \leq 4 \\\\\\\implies x \leq 20 \\\\\text{Interval,} ~ (-\infty, 20][/tex]

Answer:6. 42 split 7 ways is 6

Step-by-step explanation:

Answer:

son 26 age

Father 58 age .........

Can you give me some hint please

Answer:

Two crates, A and B, are connected with a rope of negligible mass over a frictionless pulley as represented in the diagram shown on the left. The crates are at rest.

Crate A has an unknown mass and hangs vertically to the right of the slope and crate B, with mass 14 kg, hangs on the slope to the left. The slope makes and angle of 68° with the horizontal.

The coefficient of static friction between crate B and the surface of the slope is 0.3. The direction of the frictional force is up the slope. Calculate the mass of crate A.

Answer:

no entiendo, perdóname, suerte

Answer: “P hay Q” là một mệnh đề được

Step-by-step explanation: Các quy tắc tương đương logic: ... Chứng minh biểu thức mệnh đề (¬((r ∨ q) ∧ q) ∨. ¬p)∧ ((¬p

Answer:

6

Step-by-step explanation:

To find the mean, you add up all the numbers and divide that by the number of numbers there are.

In this case, the total is [tex]3+8+7+2+9+6+6+7=48[/tex]

There are 8 numbers.

Thus, the mean is 48 ÷ 8 = 6

Hey there!

When you hear/see the word “mean” in mathematics it usually means “average” or “total”.

Formula: sum of the total numbers ÷ total numbers in the data plot

YOUR EQUATION:

3 + 8 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8

= 11 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8

= 18 + 2 + 9 + 6 + 6 + 7 ÷ 8

= 20 + 9 + 6 + 6 + 7 ÷ 8

= 29 + 6 + 6 + 7 ÷ 8

= 35 + 6 + 7 ÷ 8

= 41 + 7 ÷ 8

= 48 ÷ 8

= 6

Therefore, your mean is: 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

  x ≈ 4.239

Step-by-step explanation:

A relative minimum is found at the bottom of any U-shape on the graph. If you expand the graph shown until it has a suitable scale, it can show you the relative minimum occurs at x ≈ 4.239.

__

Additional comment

The relative maximum occurs at the top of any ∩-shape. The graphing calculator can show you that occurs at x ≈ -1.573.

Answer:

there are 12 boys

Answer:

I can't see the problem I am blind but still very hard to see it's not quite clear

Answer:

27 minutes

Step-by-step explanation:

3 + 2 = 5

45 / 5 = 9

3 * 9 : 2 * 9

27 : 18

Functions can be represented on graphs and graphs can also be represented as functions.

The given parameters are:

Points = (-8,0), (5,-2) and (8,3)

Absolute Maximum  = (-4,5)

Absolute Minimum  = (2,-6)

Start by plotting the points (including the absolute maximum and the absolute minimum) without connecting the dots (see attachment 1)

The decreasing interval [tex]\mathbf{-4 \le x \le 2}[/tex]  implies that the graph decreases from x =-4, to x =-2

See attachment (2) for the rough sketch of the graph that represents the given points and the decreasing interval

Read more about graphs at:

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Answer: I think it would have to be c) Sublimation

parallel lines rules says that adjesent angles are equal. which will give me 69

Answer:

8x + 16 = 2(4x + 8) = 4(2x + 4) = 8(x + 2) = 16((1/2)x + 1) = -8(-x - 2)

Step-by-step explanation:

Step-by-step explanation:

f(1)= 1²+4×1=5

f(2)=2²+4×2= 12

f(3)=3²+4×3=21

domain

1,2,3

range

5,12,21

Suppose that x is that number thus:

[tex] \frac{3}{4} x = 36 \\ [/tex]

Multiply both sides by 4

[tex]4 \times \frac{3}{4} x = 4 \times 36 \\ [/tex]

[tex]3x = 144[/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{144}{3} \\ [/tex]

[tex]x = 48[/tex]

There u go...

Have a great day ❤

Step-by-step explanation:

3/4 of x=36

the equation is algebra

3/4×x=36

3/4x=36

36×4/3

=28

Answer:

  108 square units

Step-by-step explanation:

When the dimensions are multiplied by 3/2, they become ...

  8·3/2 = 12

  6·3/2 = 9

Then the area of the dilated figure is ...

  A = LW

  A = 12·9 = 108 . . . . square units

_____

Additional comment

If you're paying attention, you see that the original area is multiplied by the square of the scale factor.

  A = LW

  A = (8·3/2)(6·3/2) = (8·6)·(3/2)²

This is generally true for the area of scaled figures: the original area is multiplied by the square of the scale factor to get the area of the scaled figure.

Answer:

29,596 first aid kits

Step-by-step explanation:

This is a multiplication problem. There are 604 kits in each duffle bag, and there are 49 duffle bags, so the equation is 604 x 49.

In the first step, we multiply 604 by 9 to get 5,436. In the second, we multiply 604 by 40 to get 25,160. Then we add the two numbers together to get 29,596.

Hope this helped :)

Answer:

y=-7x+15

Step-by-step explanation: