subtract (3x -n -1) and (2-2x -n) ​

Answer:

circle the second and forth one

Answer

Out of the 5 triangles, including the shaded one, the similar ones are the second (right next to the shaded) and 4th (to the left of the last one)

Step-by-step explanation:

Step-by-step explanation:

Given

4 - (x -1 ) ²

= 2² - ( x - 1) ² [ putting it into the formula a² - b² = (a+b) (a - b) ]

= ( 2 + x - 1) ( 2 - x + 1)

= ( x + 1 ) ( 3 - x)

Hope it will help :)❤

Given :

Each morning a gardener uses 25 gallons of water from a barrel.

Each afternoon, she adds 15 gallons of water to the barrel.

To Find :

By how much has the volume of water in the barrel changed after 5 days.

Solution :

Amount of of water used from the barrel per day is :

A = 25 - 15 gallons

A = 10 gallons

Now, volume of water in the barrel changed after 5 days is :

V = A × 5 gallons

V = 10 × 5 gallons

V = 50 gallons

Therefore, volume of water in barrel is changed by 50 gallons.

Answer:

Step-by-step explanation:

3×(5)^2 - 4×2 + 2×2×5

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 20

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8 95-8

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8 95-887

Answer:

I'm not completely sure but I beileve Jackie less than 4

Step-by-step explanation:

good luck tho

Answer:

D

(i scored 100 on the quiz)

Answer:

The area of the polygon is 92.75 cm^2

Step-by-step explanation:

To find the area of the polygon, we simply add up the areas of the constituent triangles

At any point in time;

Area of a triangle = 1/2 * base * height

So we proceed as follows;

(1/2 * 12 * 4.5) + (1/2 * 12 * 5)

= 27 + 30 = 57 cm^2

There is a last triangle with 12 cm and 5 cm as the sides and we need the length of the hypotenuse

The length of the hypotenuse for that triangle will be 13 cm. This is because 5,12 and 13 are Pythagorean triple and they form the sides of a right-angled triangle

So for the last triangle, the area will be;

1/2 * 13 * 5.5 = 35.75 cm^2

So the total area is;

35.75 + 57 = 92.75 cm^2

Answer:

Step-by-step explanation:

15x +6y = 2 is equal to 0 because when we move the constant to the left and divide both sides of the equation by 3 we get:

Same with 7x +6y = -3, when we move the constant to the left and sum the two opposites equal to 0 it give us:

Answer:

The expression equivalent to 8 - (6r + 2) is -6r + 6 ⇒ A

Step-by-step explanation:

Let us solve the question

∵ The expression is 8 - (6r + 2)

→ Multiply the bracket by (-)

∵ (-) × (+) = (-)

∴ 8 - (6r + 2) = 8 - 6r - 2

→ Add the like terms

∵ 8 - (6r + 2) = (8 - 2) - 6r

∴ 8 - (6r + 2) = 6 - 6r

→ Switch the terms

∴ 8 - (6r + 2) = -6r + 6

∴ The expression equivalent to 8 - (6r + 2) is -6r + 6

Answer:

125

Step-by-step explanation:

Given:

[tex]\sf \dfrac{a\ -\ 3b}{a\ +\ 2b}\ =\ \dfrac{4}{3}[/tex]

To find: The value of a:b.

Answer:

[tex]\sf \dfrac{a\ -\ 3b}{a\ +\ 2b}\ =\ \dfrac{4}{3}[/tex]

Cross-multilpying,

[tex]\sf 3\ \times\ (a\ -\ 3b)\ =\ 4\ \times\ (a\ +\ 2b)\\\\3a\ -\ 9b\ =\ 4a\ +\ 8b[/tex]

Bringing the like terms together,

[tex]\sf 3a\ -\ 4a\ =\ 8b\ +\ 9b\\\\\\-a\ =\ 17b\\\\\\\dfrac{-a}{b}\ =\ 17\\\\\\\dfrac{a}{b}\ =\ -17[/tex]

Therefore, a:b = -17.

Answer:

Step-by-step explanation:

Simplifying

(9x + 5) + -1(4x + 3) = 0

Reorder the terms:

(5 + 9x) + -1(4x + 3) = 0

Remove parenthesis around (5 + 9x)

5 + 9x + -1(4x + 3) = 0

Reorder the terms:

5 + 9x + -1(3 + 4x) = 0

5 + 9x + (3 * -1 + 4x * -1) = 0

5 + 9x + (-3 + -4x) = 0

Reorder the terms:

5 + -3 + 9x + -4x = 0

Combine like terms: 5 + -3 = 2

2 + 9x + -4x = 0

Combine like terms: 9x + -4x = 5x

2 + 5x = 0

Solving

2 + 5x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0

0 + 5x = 0 + -2

5x = 0 + -2

Combine like terms: 0 + -2 = -2

5x = -2

Divide each side by '5'.

x = -0.4

Simplifying

x = -0.4

easy boy

Answer:

is the any options?

Step-by-step explanation:

Answer:

Hence the simplified form has has 1 term and a degree of 4

Step-by-step explanation:

Given the expression

3j⁴k - 2jk³+jk³-2j⁴k+jk³

Collect like terms

= 3j⁴k-2j⁴k- 2jk³+jk³+jk³

= j⁴k- 2jk³+jk³+2jk³

= -j⁴k-2jk³+2jk³

= - jk⁴

Hence the simplified form has has 1 term and a degree of 4

Answer:

It has 1 term and a degree of 5.

Step-by-step explanation:

Answer:

[tex]\frac{111}{190}[/tex]

Step-by-step explanation:

Probability is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

The probability that the two biscuits were not the same type is 111/190.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of total biscuits = 20

Number of plain biscuits = 12

Number of chocolate biscuits = 5

Number of current biscuits = 3

The probability that two randomly chosen biscuits were not the same type.

= [tex]^{12}C_1 \times ^5C_1[/tex] /  [tex]^{20}C_2[/tex]  +  [tex]^{12}C_1 \times ^3C_1[/tex] / [tex]^{20}C_2[/tex] + [tex]^5C_1 \times ^3C_1[/tex] / [tex]^{20}C_2[/tex]

= 12 x 5 / 190  + 12 x 3 / 190 + 5 x 3 / 190

= (60 + 36 + 15) / 190

= 111 / 190

Thus,

The probability that the two biscuits were not the same type is 111/190.

Learn more about probability here:

https://brainly.com/question/14099682

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Answer:

The maximum height attained by the rocket is 240.1 m.

Step-by-step explanation:

The height above the ground is a function of time t is given by :

[tex]h= -4.9t^2 + 68.6t[/tex] ...(1)

We need to find the maximum height of the model. First we find the time of max height using axis of symmetry of the equation as follows :

[tex]x=\dfrac{-b}{2a}[/tex]

We have, a = -4.9 and b = 68.6

So,

[tex]t=\dfrac{-(68.6)}{2\times -4.9}\\\\=7\ s[/tex]

Put t = 7 in equation (1)

[tex]h= -4.9(7)^2 + 68.6(7)\\\\=240.1\ m[/tex]

So, the maximum height attained by the rocket is 240.1 m.

Answer:

An equation of the line that passes through the point (6,−4) and is perpendicular to the line will be:

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the line

[tex]2x-y=5[/tex]

converting the line into slope-intercept form

y = 2x-5

comparing with the slope-intercept form of the line equation

The slope of the line = m = 2

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = 2

Thus, the equation of new line = – 1/m = -1/2 = -1/2

using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = -1/2 and the point (6,−4)

[tex]y-\left(-4\right)=-\frac{1}{2}\left(x-6\right)[/tex]

[tex]y+4=-\frac{1}{2}\left(x-6\right)[/tex]

Subtract 4 from both sides

[tex]y+4-4=-\frac{1}{2}\left(x-6\right)-4[/tex]

[tex]y=-\frac{1}{2}x-1[/tex]

Therefore, an equation of the line that passes through the point (6,−4) and is perpendicular to the line will be:

An equation of the line  that passes through the point (6,−4) and is perpendicular to the line 2x−y=5 is [tex]y=-\frac{1}{2}x-1[/tex]

Given:

An equation of the line that passes through the point (6,−4) and is perpendicular to the line 2x−y=5

First we find the slope of given equation 2x-y=5

y=mx+b is the equation of the line . where 'm' is the slope

[tex]2x-y=5\\2x-5=y\\y=2x-5[/tex]

Slope m=2.

Slope of perpendicular lines are negative reciprocal of one another

Slope of perpendicular line is [tex]-\frac{1}{2}[/tex]

The line passes through the point (6,-4)

Use the point and slope to get the equation of the perpendicular line

slope m = [tex]-\frac{1}{2}[/tex]

Point slope form of line is

[tex]y-y_1=m(x-x_1)\\y+4=-\frac{1}{2}(x-6)\\y+4=-\frac{1}{2}x+3\\y=-\frac{1}{2}x-1[/tex]

An equation of the line  that passes through the point (6,−4) and is perpendicular to the line 2x−y=5 is [tex]y=-\frac{1}{2}x-1[/tex]

Learn more : brainly.com/question/19864665

Answer:

2\10

Step-by-step explanation:

1\2 = 5\10

7\10 - 2\10 = 5\10

Answer:

Class 7A collected 4.8 ounces of pure gold.

Step-by-step explanation:

Key skills required are: Percentages, Multiplication

Here we have to do 12% x 40 to find the number of oz of pure gold. We first have to convert 12% into a decimal. Divide it by a 100 (or move the decimal point 2 places to the left) and you will get 0.12.

Do 0.12 x 40 and you will get 4.8

Therefore, there are 4.8 oz of pure gold in Class 7A's gold sand

Answer:

Given

△ABC and △CDE are equilateral.

AE

= 25

To find perimeters of the two triangles,

Let us consider the lengths of

AC

and

CE

to be

′

x

′

and

′

y respectively.

As △ABC is equilateral,

AC

=

AB

=

BC

= x

As △CDE is equilateral,

CE

=

CD

=

DE

= y

From the figure,

AE

=

AC

+

CE

25 = x + y

x + y = 25

Perimeter of the triangle is the sum of all sides of the triangle.

For △ABC,

Perimeter of △ABC =

AC

+

AB

+

BC

= x + x + x

= 3x

For △CDE,

Perimeter of △CDE =

CE

+

CD

+

DE

= y + y + y

= 3y

Now,

Perimeter of two triangles = Perimeter of △ABC + Perimeter of △CDE

= 3x + 3y

= 3 × (x + y)

= 3 × 25 (from above)

= 75

Therefore, Perimeter of the two triangles is'75′units.

Step-by-step explanation:

Hope it is helpful...

Answer:

1140

Step-by-step explanation:

A decagon has 10 sides so substitute it like this:

(n-2) x 180

(10-2) x 180

8 x 180= 1140

Answer:

.....................................

Step-by-step explanation:

y = 30 & x = 3

Answer:

21 laps per hour

Step-by-step explanation:

2/3 = 20/30

20/30 × 2 = 40/60

1 and 2/3 = 1 hour 40 mins

60 + 40 = 100 mins

35 (laps) = 100 (mins)

÷10

3.5 = 10

×6

21 = 60

21 laps in 1 hour

so 21 laps per hour

P^12-2t^7-7r^2-1

p^10r

you just substracting