.
If y = x +3,
find the value of y when x = 2​

The coordinates of a' after scaling factor of 1/3 is a'(1,1).

Given:

points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3.

Rectangle:

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel.

Scale factor :

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

scale factor = 1/3

= (3*1/3 , 3*1/3)

= (3/3 , 3/3)

= (1,3/3)

= (1,3)

Therefore the coordinates of a'(1,1).

Learn more about the coordinates here:

https://brainly.com/question/27749090

#SPJ4

The time taken by Erin to wash the car when given that she took 4 minutes slower than half of the amount of time it took Tad to mow the lawn and the total time taken by the two jobs (washing the car and mowing the lawn) is 62 minutes is 8 minutes.

Given the statements: Erin washed the car 4 minutes slower than half of the time it took Tad to mow the lawn. In total, the two jobs took Erin and Tad 62 minutes. The given problem is to find the time taken by Erin to wash the car when given that she took 4 minutes slower than half of the amount of time it took Tad to mow the lawn and the total time taken by the two jobs (washing the car and mowing the lawn) is 62 minutes. We can solve the problem by writing two equations with two variables and then solve them using any of the methods. The number of minutes that the jobs took Erin (x) and Tad (y) is given with the system of equations:

x + y = 62

x = (y/2) - 4

To solve the given problem, we need to substitute the value of x in the first equation:

x + y = 62(y/2 - 4) + y

625y - 32 = 1245

y = 24

Therefore, the time taken by Erin (x) is:

x = (y/2) - 4

x = (24/2) - 4

x = 12 - 4

x = 8 minutes

The given problem is to find the time taken by Erin to wash the car when given that she took 4 minutes slower than half of the amount of time it took Tad to mow the lawn and the total time taken by the two jobs (washing the car and mowing the lawn) is 62 minutes.

Therefore, the time taken by Erin to wash the car is 8 minutes. The correct answer is (A) 8 minutes. Therefore, the time taken by Erin to wash the car when given that she took 4 minutes slower than half of the amount of time it took Tad to mow the lawn and the total time taken by the two jobs (washing the car and mowing the lawn) is 62 minutes is 8 minutes.

To know more about the system of equations, visit:

brainly.com/question/21620502

#SPJ11

Answer:

  (a)  seventy-three and three fifths square inches

Step-by-step explanation:

You want to know the area of the quilt block shape shown.

The shape can be considered to be composed of a rectangle 10.6 inches long, together with a right triangle with side lengths 4 and 5 inches.

The relevant area formulas are ...

  triangle: A = 1/2bh

  rectangle: A = bh

The area of the triangle is ...

  A = 1/2(5 in)(4 in) = 10 in²

The area of the rectangle is ...

  A = (10.6 in)(6 in) = 63.6 in²

The total area is ...

  10 in² +63.6 in² = 73.6 in²

The area of the shape is 73 3/5 square inches.

<95141404393>

Answer:

answer is 7.2

Step-by-step explanation:

0.9(15)-2.1(3)

13.5-6.3=7.2

Answer:

7.2

Step-by-step explanation:

0.9*15=13.5

2.1*3=6.3

13.5-6.3=7.2

Answer:

72

Step-by-step explanation:

You add the base which is 8 and 18 then multiply by 11 which is 144. after that you divide by two and get your answer 72

87.5

25x7=175

175/2=87.5

Answer:

$10,530

Step-by-step explanation:

I = Prt

P = 19500

r = 0.06

t = 9

I= 19500 x 0.06 x 9

I = 10530

Answer:

Alexandram has greater weekly expenses

They charge the same price

Step-by-step explanation:

I got this answer for khan academy!

Answer:

Alexandram

They charge the same price

Step-by-step explanation:

Answer:

yes!

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given

tanθ = \(\frac{1}{2}\) = \(\frac{opposite}{adjacent}\)

This is a right triangle with legs 1 and 2

Using Pythagoras' identity

hypotenuse² = 1² + 2² = 1 + 4 = 5 ( take square root of both sides )

hypotenuse = \(\sqrt{5}\)

θ is in the 3rd quadrant where sinθ < 0 , then

sinθ = \(\frac{opposite}{hypotenuse}\) = - \(\frac{1}{\sqrt{5} }\) ← rationalise the denominator

       = - \(\frac{1}{\sqrt{5} }\) × \(\frac{\sqrt{5} }{\sqrt{5} }\)

       = - \(\frac{\sqrt{5} }{5}\) → C

To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

Learn more about square feet here : brainly.com/question/30678567

#SPJ11

The three solutions of the equation y = -2x - 1 are (–2, 3), (1, –3), and (2, –4).

To find the solutions, we substitute different values of x into the equation and solve for y.

For the first solution, when x is –2, we have y = -2(-2) - 1 = 3. Therefore, the first solution is (-2, 3).

For the second solution, when x is 1, we have y = -2(1) - 1 = -3. Thus, the second solution is (1, -3).

For the third solution, when x is 2, we have y = -2(2) - 1 = -4. Hence, the third solution is (2, -4).

These three points satisfy the equation y = -2x - 1, and therefore, they are the solutions of the equation. They represent coordinate pairs (x, y) where the equation holds true.

For more such answers on equation

https://brainly.com/question/17145398

#SPJ8

using the substitution u=5x−2, ∫x5x−2−−−−−√ⅆx is equivalent to  ∫u+2 /5 du/5

What is Derivative?

Calculus defines a derivative as the rate at which one quantity, y, changes in relation to another, x. The differential coefficient of y with respect to x is another name for it. Finding a function's derivative is the process of differentiation. A function's derivative is typically represented by d/dx (f(x)) (or df/dx (or Df(x) (or f')). Let's examine the technical definition of a derivative. Two points on a function f(x) curve are (x, f(x)) and ((x + h), f(x + h)), respectively. If so, [f(x + h) - f(x)]/(x + h - x) = [f(x + h) - f(x) / h] will be the slope of the secant line through these points. The second point overlaps the first point in the figure below when the distance between two points is nearly equal to 0 (i.e., as h approaches 0), and the secant line turns into the tangent line. Calculus refers to the slope of the tangent line as the function's derivative.

x = 1/y + 1

y + 1 = 1/x

y = 1/x - 1

differentiating y w.r.t to x

dy/dx=-1/x^2

using subsitution u= 5x-2

then x= u+2/5

∫u+2 /5 du/5

Learn more about substitution from the link below

brainly.com/question/25324584

#SPJ4

Answer:

12

Step-by-step explanation:

Answer:

(6,-7)

Step-by-step explanation:

take b as x2,y2

then apply mid point formula

x=(x1+x2)/2

y=(y1+y2)/2

Answer:  B = (-6, 7)

Step-by-step explanation:

Given: M = (4, -1)    A = (2, 5)

\(M_x=\dfrac{A_x+B_x}{2}\qquad \qquad \qquad M_y=\dfrac{A_y+B_y}{2}\\\\\\4=\dfrac{2+B_x}{2}\qquad \qquad \qquad -1=\dfrac{5+B_y}{2}\\\\\\8 = 2+B_x\qquad \qquad \qquad\quad -2=5+B_y\\\\\\6=B_x\qquad \qquad \qquad\qquad \quad -7=B_y\)

Answer:

C= 10.6

Step-by-step explanation:

AB^2=AC^2+CB^2

C^2=7^2+8^2

C^2= 113

√113=10.630

The domain of the function is `R` and the y-intercept is `(0, -3)`

Given, `y = log4(2x + 1) - 3`.

To determine the domain of the function,

we should look for all values of `x` that would make the given function undefined.

There are no real values of `x` that would make the function undefined.

Therefore, the domain of the function is all real numbers or `R`.

To determine the y-intercept, substitute `x = 0` in the given function.`

y = log4(2(0) + 1) - 3 = log4(1) - 3 = 0 - 3 = -3`

Therefore, the y-intercept of the function is `(0, -3)`.

Hence, the domain of the function is `R` and the y-intercept is `(0, -3)`.

To know more about y-intercept visit:

https://brainly.com/question/14180189

#SPJ11

Answer:

the answer is 5

Step-by-step explanation:

it is right jk

Answer:

Step-by-step explanation:

We know area of a rectangle is xy where x and y are its dimensions.

A=xy

If we factor the area we will get the dimensions.

A=15k^4+35k^3+20k^2

(this can be factored in many ways to produce the same area, the answer choices you are given can be any given combination of factors.)

A=15k^4+15k^3+20k^3+20k^2

A=15k^3(k+1)+20k^2(k+1)

A=(15k^3+20k^2)(k+1) (this is one way)

A=5k(3k^2+4k)(k+1)

A=(3k^2+4k)(5k^2+5k) (and another way)

Either expression would give you width and length (or length and width) as they all produce the area of the original equation.

The measure of angle 6 is 38°.

What are vertically opposite angles?

Vertically opposite angles are pairs of angles formed by two intersecting lines that are opposite to each other and share the same vertex but are not adjacent angles.

When two lines intersect, they form four angles at the intersection point. The vertical opposite angles are the pairs of angles that are opposite to each other and are not adjacent angles.

We know that, if two lies are parallel and a transversal cuts the lines.

then, the angle formed are corresponding angles ad the vertically opposite angles formed will be equal.

similarly, In the give figure,

we ca see that angle 6 ad angle 38 are vertically opposites angle.

so, angle 6 = 38°

To learn more about vertically opposite angles, visit the link:

https://brainly.com/question/68367

#SPJ1

Answer:

a

Step-by-step explanation:

5x - 2y - x + 5y

combine like terms

4x + 3y

Answer:

option a is the correct answer.

Step-by-step explanation:

4x+3y.

have a great day :)

Answer: x = 6

---------------------

Answer:

Distributive property.

Step-by-step explanation:

a(b+c)=

ab+ac

“a” is distributed into “b” and “c”.

or

“a” is shared with both “b” and “c”.

B. 9/19

Step-by-step explanation:

there was 20 dogs in total he took 1 black dog now 19 in total, now 9 black dogs and 10 brown dogs so one less probability of black dogs so 9 black dogs and 10 brown dogs so 9/19

Answer:

$299

Step-by-step explanation:

Given that 70% is $230 you can divide this by 7 to get 10%.

10% is 23. The remaining percentage we need is 30.

Soo 10% x 3 = 30%. (23x3)

23 x 3 = 69.

69 + 230 = $299

Answer: Commutative property of multiplication: Changing the order of factors does not change the product.

Step-by-step explanation: For example, 4 × 3 = 3 × 4 4 \times 3 = 3 \times 4 4×3=3×44, times, 3, equals, 3, times, 4.

Answer:

C).

Step-by-step explanation:

In A and B  they  are making generalisations . Their deductions are not valid.

A histogram is a univariate display of quantitative data that organizes data into bins and shows the frequency of observations within each bin.


A histogram is a graphical representation that displays the distribution of quantitative data. It consists of a series of contiguous bars, where each bar represents a specific range or bin of values, and the height of the bar corresponds to the frequency or count of observations falling within that range.

Histograms are commonly used to visualize the shape, central tendency, and spread of a dataset. By examining the heights of the bars, one can determine the frequency of values within each bin and identify patterns such as peaks or clusters. This makes histograms an effective tool for exploring the distribution and characteristics of a single variable in a dataset.

Learn more about Dataset here: brainly.com/question/24058780
#SPJ11

If the input values for the function are all the integer numbers from 0 to 12, then this set in fact represents the domain of the function. Otherwise, it does not.

The domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined.

In other words, it is the set of all values for which the function will produce a valid output (also known as the dependent variable). It is typically expressed as a set of numbers, variables, or other objects that satisfy any conditions or restrictions on the input values.

Hence you must observe in the function the set of input values that produce a valid output to determine the function's domain.

The problem is incomplete, hence the procedure to obtain the domain of the function is presented.

More can be learned about the domain of a function at https://brainly.com/question/31034336

#SPJ1

Answer:

  $220

Step-by-step explanation:

The markup is ...

  120% × $100 = $120

The customer pays ...

  selling price = cost + markup

  selling price = $100 +120 = $220

The customer would pay $220 for the ring.

So here in the question we've been given to find out the total cost for the ring which customer should pay. So let's first of all calculate excatly the markup value. We can write it as,

\(:\implies\tt{120\% \times 100}\)

\(:\implies\tt{ \frac{120}{100} \times 100}\)

\(:\implies\tt{1.2 \times 100}\)

\(:\implies\tt{120}\)

The total cost for the customer to pay will be summation of all costs introduced which is,

\(:\implies\tt{s.e = cost + markup}\)

\(:\implies\tt{s.e = 100 + 120}\)

\(:\implies\tt{s.e = 220}\)