what is the slope intercept form for x-3y=-15

Answer:

250 in²

Step-by-step explanation:

There are four identical rectangles so therefore area of one rectangle times 4. Then add the sum of the areas of the two identical squares.

4( l x b) + 2( l x b)

4( 10 x 5) + 2(5 x 5)

4(50) + 2(25)

200 + 50

Therefore 250 in²

Answer:

Step-by-step explanation:

You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).

The problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.

The numbers in the translation vector are added to the coordinates:

  (x, y) ⇒ (x+2, y+0)

Reflection over the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

Then the composition of transformations is ...

  (x, y) ⇒ (-(x+2), y)

  Q(1, 5) ⇒ Q'(-3, 5)

  R(3, -1) ⇒ R'(-5, -1)

  S(0, 0) ⇒ S'(-2, 0)

  T(-2, 3) ⇒ T'(0, 3)

Answer:

True.

Step-by-step explanation:

A system of a mathematical expression such as a matrix is said to be in echelon form when it has many variables.

There are two (2) forms of echelon matrices and these includes;

I. Reduced row echelon form (RREF)

II. Row echelon form (REF)

Hence, a system in echelon form can have more variables than equations.

\(\left[\begin{array}{ccc}1&2&3\\0&0&1\\0&7&5\\0&0&0\end{array}\right]\)

Step-by-step explanation:

you have both points : (1, 1) and (5, 5).

so, we don't need to do any triangle calculations to get the height of the main triangle.

all we need to do is calculate the distance between these 2 points.

2 points in a coordinate grid create a right-angled triangle.

the direct distance is the Hypotenuse (the side opposite of the 90° angle). and the legs are the x- and the y-coordinate differences (one up or down the other left or right).

and we can use Pythagoras

c² = a² + b²

c being the Hypotenuse a and b being the legs.

so, how long are these legs here ?

the x-difference is 5 - 1 = 4.

also the y-difference is 5 - 1 = 4

so,

distance² = 4² + 4² = 16 + 16 = 32

distance = sqrt(32) = sqrt(16×2) = 4×sqrt(2) =

= 5.656854249...

the distance of P to the line RQ is 5.656854249...

The percent error of the estimate is -2.14%

In this question, the figures are given as

Estimate = 5.5 cm

Actual = 5.62 cm

The percentage of the error is then calculated using the following equation

Error percentage = (Estimate - Actual)/Actual * 100%

Substitute the known values in the above equation, so, we have the following representation

Error percentage = (5.5 - 5.62)/5.62 * 100%

Evaluate

Error percentage = -2.14%

Hence, the error percentage is -2.14%

Read more about percentage at

brainly.com/question/15056889

#SPJ1

The standard normal areas are given as follows:

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

Considering the second bullet point, the areas are given as follows:

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

The meaning of the absolute value in this problem is given as follows:

The temperature decreased 1.2 degrees.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

The number for this problem is -1.2, hence:

More can be learned about the absolute value of a number at https://brainly.com/question/24368848

#SPJ1

The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

For similar question on equilateral triangle.

https://brainly.com/question/28063031

#SPJ8

The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

We have the following:

The formula for the lateral surface area of a cylinder is as follows

replacing:

Therefore the answer is F 6374.9 in ^ 2

The total surface area of the doghouse is 1452 ft²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.

area of the roof part = 2( 13×11) + 2( 12× 10)×1/2

= 286 + 720

= 1006 ft²

surface area of the building

= 2( lb + lh + bh) -bh

= 2( 10× 11 + 10×8 + 11×8) - 10×11

= 2( 110+80+88)-110

= 2( 278) -110

= 556 -110

= 446ft²

The total surface area = 1006 + 446

= 1452 ft²

learn more about surface area from

https://brainly.com/question/16519513

#SPJ1

The value of the probability of the different events are,

The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

We have to given that;

A box contains 2 red marbles, 5 green marbles and 8 blue marbles.

Hence, Total marbles = 2 + 5 + 8 = 15

So, The value of the probability P (3) is,

⇒ 3 / 15

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/15 x 5/15

⇒ 8/15 x 1/3

⇒ 8 / 45

Thus, The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ1

Answer:

b = 9

Step-by-step explanation:

0.5 bh= 29.25

thus

(0.5)(b)(6.5)=29.25

thus

b= 58.5/6.5 = 9

Answer:

9?

Step-by-step explanation:

Answer:

2.25 and 4.95

Step-by-step explanation:

x + y = 7.2

x - y = 2.7

x = 7.2 - y

x - y = 2.7

(7.2 - y) - y = 2.7

7.2 - 2y = 2.7

-2y = 2.7 - 7.2

-2y = -4.5

-2y/-2 = -4.5/-2

y = 2.25

x + y = 7.2

x + 2.25 = 7.2

x = 7.2 - 2.25

x = 4.95

Check: 4.95 and 2.25

x + y = 7.2

(4.95) + (2.25) = 7.2

7.2 = 7.2

x - y = 2.7

(4.95) - (2.25) = 2.7

2.7 = 2.7

Answer:

x+y=7.2

x-y=2.7

Step-by-step explanation:

equation

x+2.7+x=7

2x=4.3

x=4.3/2

y=7-4.3/2

Answer:

41.834

Step-by-step explanation:

The complete length of the boston marathon is 26 miles

A mile is 1.609 kilometers

Therefore the number of kilometers a runner needs to run to complete the race can be calculated as follows

= 26 × 1.609

= 41.834

Hence the runner needs to run 41.834 kilometers

Answer:

∠E = tan

∠D = tan

Step-by-step explanation:

Common sense, only perpendicular and base is present.

Answer:

88

Step-by-step explanation:

(fog)(-g) = f(g(-5))

g(-5) is 20

f(20) is 88

The composition of the function at x = -5,

(fog)(-5) = 88.

Let the two function f(x) and g(x) generate a new function h(x) using an operation.

The operation is composition of functions and h(x) is a composite function.

Given:

Two functions,

f(x) =4x + 8,

and g(x) = x² + x.

g(-5) = 20

The composition of the function at x = -5,

(fog)(-5) = f(g(-5))

(fog)(-5) = f(20)

(fog)(-5) = 20(4) + 8

(fog)(-5) = 88

Therefore, (fog)(-5) = 88

To learn more about the composite function;

https://brainly.com/question/29048585

#SPJ2

Answer:

Step-by-step explanation:

Area of a trapezoid is the average length of the bases times the height

C = A(0.25)

A = ½(86 + 106)(44) = 4224 ft²

C = 4224(0.25) = $1056.00

Answer:

150 blocks in total.

5 blocks times 2 (because twice a day) is 10. Multiply 10 blocks a day by 15 days.

So, Cindy walks 150 blocks in the 15 days. Hope this helps

The scale factor used is:

1 centimeter equals half millimiter.

The scale factor tells us how many units in the sculpture represent a real unit.

We know that:

Real length = 9mm

Length in the sculpture = 18cm

Then we have the relation between the lengths:

18cm = 9mm

Dividing both sides by 18 we will get:

1cm = 9mm/18

1cm = 0.5mm

So the scale is 1 centimeter equals half millimiter.

LEarn more about scales at:

https://brainly.com/question/25722260

#SPJ1

The functions f(x) = (2x - 3) / 2 and g(x) = (2x + 3) / 2 are the inverse functions because the composite of the given functions equal to x that is fog = x and gof = x.

The conditions for two functions f and g to be inverses: f(g(x)) = x or g(f(x)) = x.

where, f(g(x)) and g(f(x)) is the composite function.

We are given:

f(x) = (2x - 3) / 2

g(x) = (2x + 3) / 2

Let us find the value of f(g(x)) and g(f(x)):

Substitute the value of x with g(x) in f(x), we will get:

f(g(x)) = (2 * g(x) - 3) /2 = (2 * ((2x + 3) / 2) - 3) /2 = (2x + 3 - 3) / 2 = 2x / 2 = x

So, f(g(x)) = x.

Substitute the value of x with f(x) in g(x), we will get:

g(f(x)) = (2 * f(x) + 3) /2 = (2 * ((2x - 3) / 2) + 3) /2 = (2x - 3 + 3) / 2 = 2x / 2 = x

So, g(f(x)) = x.

Thus, the functions f(x) = (2x - 3) / 2 and g(x) = (2x + 3) / 2 are the inverse functions because the composite of the given functions equal to x that is fog = x and gof = x.

To learn more about the composite function visit:

https://brainly.com/question/28062427

#SPJ1

Answer:

its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

Answer:

cross multiple

17×f=34×7

17f/17=578/17

f=34

Answer:

Step-by-step explanation:

\(\frac{15}{7} or \frac{26}{9}\)

Mr. Suresh pays $45 for purchasing 10 boxes of cereal at a discount of 25%.

The discount refers to the reduction in the price of an item offered by retailers to customers to entice them to make more purchases.

Discounts are usually expressed in percentage terms, called discount rates.

The price that the customer pays after the discounted is called the discounted price.

Discount on the 5th box of cereal = 10%

Discount on the 10th box of cereal = 25%

The cost per box of cereal = $6

The total cost for 10 boxes of cereal = $60 ($6 x 10)

Discounted rate = 75% (1 - 25%)

The discounted price for 10 boxes of cereal = $45 ($60 x 75%)

Learn more about discounts at https://brainly.com/question/14883253

#SPJ1

Answer: \(3x^2+x-9\)

Step-by-step explanation:

f(x) + g(x)

Given: f(x) = -3 and g(x) = 3x^2+x-6

\(-3+3x^2+x-6\)

Final answer:

\(3x^2+x-9\)

Answer:

-5i and 5i cannot be roots of the equation, since they are complex.

Step-by-step explanation:

A 3-degree polynomial equation must have 3 roots, if one of its roots is a complex number, then its conjugate must also be a root of the function. The problem already stated two roots, which are reals, therefore the last root must also be real. Using this line of thought we know that -5i and 5i cannot be roots of the equation, since they're complex.

Answer:

D) y = 12

Step-by-step explanation:

One can use the angle bisector theorem to solve this problem. The angle bisector theorem states:

\(\frac{a_1}{b}=\frac{a_2}{c}\)

Where (\(a_1\)) and (\(a_2\)) are a part of the side that is intersected by the angle bisector and (\(b\)) and (\(c\)) are the other two sides in the triangle. Substitute in the given values and solve for the unknown.

\(\frac{4}{8}=\frac{6}{y}\)

Simplify,

\(\frac{1}{2}=\frac{6}{y}\)

Cross products,

\(12=y\)

Answer:

62.1

Step-by-step explanation:

PEMDAS!

9.1 * 3 = 27.3

8.7 * 4 = 34.8

27.3 + 34.8 = 62.1

Answer:

what you need help with? ill help if i can

Step-by-step explanation: