What is the solution to the system of equations y = -1/2 x + 1 and y = 2x + 6?

Answer:

When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.

Step-by-step explanation:

Answer:

n = 10667

Step-by-step explanation:

The measure of a godown = 40 m × 25 m × 10 m

The measure of wooden crate = 1.5 m × 1.25 m × 0.5 m

We need to find the maximum number of wooden crates that can be stored in the godown. Let there are n wooden crates. So,

[tex]n=\dfrac{40\times 25\times 10}{1.5\times 1.25\times 0.5}\\\\n=10666.67[/tex]

or

n = 10667

Hence, there are approx 10667 wooden crates can be stored.

Answer:

14:12

Step-by-step explanation:

Answer:

After entering a time in 24-hour format, this calculator lets you add and subtract a period to give a new time, also in 24 hour format. The 24 hour time format is also known as "military time".

For example, you could enter the time 15:00:00 (3 pm), then add 70 seconds to it which would give 15:01:10 ( 3:01 and 10 seconds pm).

The number of planes in a year will be 219000 planes.

Rate demonstrates how many times one number can fit into another number. Rate contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Here, 150 planes arrive in 6 hours. The number of planes in a day which is 24 hours will be:

= 150 × (24/6)

= 600 planes.

The planes in a year will be:

= 600 × 365

= 219000 planes.

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Answer:

B

Step-by-step explanation:

Answer:d and e

Step-by-step explanation:

YESIRRRRRRRRRRRRRRRRRRRRRRRRRRRR

Answer:

m=-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Use the formula y2-y1/x2-x1

4-1/2-3

3/-1

Therefore, the slope is -3

Answer:

Nah that sounds like a you problem

Step-by-step explanation:

Answer:

my guess is 3/2x+65/3 or 2/3c

Answer:

sure i can definitely help

Step-by-step explanation:

whats your problem?

Answer:

they get in a hole and  they grab the dirt and examine it

Step-by-step explanation:

Answer:the shout and throw a pebble into the hole

Step-by-step explanation:

You can solve this by doing Pythagorean theorem. I think thats what its called... a^2+b^2=c^2. So 24 squared plus 18 squared is 900. The square root of 900 is 30. The legnth of the third side is 30.

The distance from the top of the flagpole to the ground is 30 feet.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

Given the distance from the base of a flagpole to a point on the ground = 24 feet

height of flagpole = 18 feet

the distance from the top of the flagpole to the ground is x

by Pythagorean theorem, we can find the distance

h² = b² + p²

h = hypotenuse = x

b = base = 24 feet

h = height = 18 feet

x² = 24² + 18²

x² = 576 + 324

x = √900

x = 30 feet

Hence the value of x is 30 feet.

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Answer:

480y  

Step-by-step explanation:

multiply 6 x 8 x 60= 480

Answer:

x= 5

?=10

Step-by-step explanation:

Mark me Brainliest Pls

Answer: 36

Step-by-step explanation:

h x l = a

h=6

l=6

6 x 6 = 36

Answer: (3x=2) (x+2)

Step-by-step explanation:

Factor by grouping

Answer:

90000

Step-by-step explanation:

I put 4000 times 6 years then added that to 66000 then got 90000.

Answer:

11 1/3 sq yards

Step-by-step explanation:

4 1/4 x 2 2/3

change into improper fractions:  17/4 x 8/3 = 136/12 = 11 1/4

Answer:

D  I think

Step-by-step explanation:

GH=5  5; <H = 90  

1. The mapping of the vertices of ΔDEF will be;

D(2, –4) → D' (-4, 2)

E(1, –1) → E' (-1 , 1)

F(5, 1) → F' (1, 5)

2. The rule of the reflection across the line y = x is;

[tex]r_{x} = _{y} (x , y)[/tex] → [tex]r_{y} = _{x} (y , x)[/tex]

What is Refection?

Reflection is a type of transformation that flip a shape in mirror line, so that each point is the same distance from the mirror line as its reflected point.

Given that;

The coordinates are,

D = (2, –4)

E = (1, –1)

F = (5, 1)

Now,

By the given image,

The mapping of the vertices of ΔDEF is;

D(2, –4) → D' (-4, 2)

E(1, –1) → E' (-1 , 1)

F(5, 1) → F' (1, 5)

And, The rule of the reflection across the line y = x is;

[tex]r_{x} = _{y} (x , y)[/tex] → [tex]r_{y} = _{x} (y , x)[/tex]

Because in the image its shows the line of reflection.

Therefore,

1. The mapping of the vertices of ΔDEF will be;

D(2, –4) → D' (-4, 2)

E(1, –1) → E' (-1 , 1)

F(5, 1) → F' (1, 5)

2. The rule of the reflection across the line y = x is;

[tex]r_{x} = _{y} (x , y)[/tex] → [tex]r_{y} = _{x} (y , x)[/tex]

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Answer:

(a) -12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Calculus

Integrals

Integration Rule [Reverse Power Rule]:                                                                    [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Swapping Limits]:                                                                [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = -\int\limits^a_b {f(x)} \, dx[/tex]

Integration Property [Multiplied Constant]:                                                           [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                         [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Property [Splitting Integral]:                                                                [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                      [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]  

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = 5[/tex]

[tex]\displaystyle \int\limits^4_{10} {f(x)} \, dx = 8[/tex]

[tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx[/tex]

Step 2: Solve Pt. 1

Step 3: Redefine

Manipulate the given integral values.

Step 4: Solve Pt. 2

Topic: AP Calculus AB/BC

Unit: Integration

Book: College Calculus 10e

Answer:

x + 37 = 90

Step-by-step explanation:

Since complementary angles add up to 90 degrees, we would need to add 37 and x to equal 90 degrees. Therefore, x + 37 equals 90 degrees. As for solving, subtract 37 from both sides and you are left with x = 53.

Answer: The answer is C) J' (3,-1), K' (1,-4)

Step-by-step explanation: First, you need to find the location of J, which is located in Quadrant III. You go left 3, and go down 1, making the coordinates of J (-3,-1). Next, you need to find the location of K, which is also located in (-1, -4).

So, the question asks, "What are the coordinates of J' and K' after JK is reflected across the y-axis?"-- Well, first, which line is the x-axis, and which line is the y-axis?

The x-axis is the line that is horizontal(Across) while the y-axis is the line that is vertical( Up and Down).

So you bring J and Ks coordinated over the y-axis to Quadrant IV(4). You already know their original coordinates, so you place the as you would in the picture above, except that the line would be reflected.

Answer:

maybe 36

Step-by-step explanation:

but can u help me What is the surface area of a square-based pyramid with a base length of 5 m and a slant height of 3 m?

Enter your answer in the box.

The missing measurement is 10 feet.

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.

To find the surface area of the pyramid, we can use the following formula,

A = (½)Pl + B.

Where P is the base perimeter, l is the slant height and B is the base area.

Here, the base is square-shaped.

Now, let the slant height be x.

A = (1/2)(4 × 6) (x) + (6)²

156 = 12x + 36

12x = 156 - 36

12x = 120

x = 10 feet.

Therefore, the required height is 10 feet.

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Answer: 1, 3, 5

1.) MOM   3.) HIT   5.) WAXY

Step-by-step explanation: i hope this helps :)

The words in which all letters have vertical symmetry are MOM, HIT, and WAXY so options (A),(C), and (E) are correct.

If two figures look an exact shape but their size could be small or big then both figures are called similar figures.

When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.

Vertical symmetry is the way by which a latter will completely coincide about a vertical axis.

For example word "A".

If we take a vertical axis in the mid of the word "A" then about this axis the whole word will coincide by left and right.

Thus, another words are M, O, T, Y, H, X.

The words containing the above letters are MOM, HIT, and WAXY.

Hence "The words in which all letters have vertical symmetry are MOM, HIT, and WAXY".

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Answer:

1. 9 = x

2. y = 2

Just copy these steps on paper, then submit.

Writing it yourself will help you, trust me :)

1. 2(x + 5) = 3x + 1

2(x + 5) = 3x + 1

Distribute the 2

2x + 10 = 3x + 1

-1                    -1

2x + 9 = 3x

-2x         -2x

9 = x

2. 3y - 4 = 6 - 2y

3y - 4 = 6 - 2y

     +4    +4

3y = 10 - 2y

+2y       +2y

5y = 10

Divide both sides by 5

y = 10/5

y = 2

Answer:

42cm square

Step-by-step explanation:

Frist find the area of the square. 14*14

Then find the Area of the circle.- (radius) one side of the square is the diameter so, diameter divided by 2 - 14/2=7

After that subtract the area of circle from the area of the square.

Answer:

first we find the area of the square.

area of square=side²

area of square =14²

area of square=196cm²

area of circle=pi×radius²

radius=14/2=7

area of circle=22/7×(7)²

area of circle =22/7×49

area of circle =154cm²

area of shaded region=area of square - area of circle

area of shaded= 196cm²-154cm²

area of shaded=42cm²

The second graph represents the situation y=1.25x which has slope 1.25.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation is y= 1.25x

Slope is 1.25

Now let us plug in (1, 1.25) in the equation

1.25=1.25(1)

Hence, the second graph represents the situation y=1.25x which has slope 1.25.

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Answer: 4

Step-by-step explanation:

Change the 2.5 to an improper fraction, then multiply by the reciprocal of 5/8.

[tex]2\frac{1}{2} /\frac{5}{8} =\frac{5}{2}*\frac{8}{5}=\frac{40}{10} =4[/tex]

Conversion a mixed number 2 1/

2

to a improper fraction: 2 1/2 = 2 1/

2

= 2 · 2 + 1/

2

= 4 + 1/

2

= 5/

2

To find new numerator:

a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/

2

= 4/

2

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 2.

Two and one half is five halfs

Divide: 5/

2

: 5/

8

= 5/

2

· 8/

5

= 5 · 8/

2 · 5

= 40/

10

= 10 · 4/

10 · 1

= 4

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 5/

8

is 8/

5

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 10 gives 4/

1

.

In words - five halfs divided by five eighths = four.

Use triangle bisect or theorem.

Set up proportion:

X/ 2.25 = 4/3

Cross multiply:

3x = (4 x 2.25)

3x = 9

Divide both sides by 3:

X = 3