Graph the image of this triangle after a dilation with a scale factor of 1/2 centered at (−5, 1).

Answers

Answer 1
View attachment below:
Graph The Image Of This Triangle After A Dilation With A Scale Factor Of 1/2 Centered At (5, 1).

Related Questions

distance between 4, -4 and -7, -4

Answers

Step-by-step explanation:

here's the answer to your question

Answer: Distance = 11

Step-by-step explanation:

Concept:

Here, we need to know the idea of the distance formula.

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Find the distance between A and B, where:

A (4, -4)B (-7, -4)

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]Distance=\sqrt{(4+7)^2+(-4+4)^2}[/tex]

[tex]Distance=\sqrt{(11)^2+(0)^2}[/tex]

[tex]Distance=\sqrt{121+0}[/tex]

[tex]Distance=\sqrt{121}[/tex]

[tex]Distance=11[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Which diagram best shows how fraction bars can be used to evaluate One-half divided by one-fourth? A fraction bar labeled 1. Under the 1 are 2 boxes containing one-half. Under the 2 boxes are 4 boxes containing one-fourth. 2 one-fourths are circled. A fraction bar labeled one-fourth. Under the one-fourth are 2 boxes containing one-half. Under the 2 boxes are 4 boxes containing 1. 2 boxes containing 1 are circled. A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 8 boxes containing one-half. One box containing one-half is circled. A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 2 boxes containing one-half. One box containing one-half is circled.

Answers

Answer:

Step-by-step explanation:

The description is too ambiguous to reconstruct the diagram. You need to post the actual diagram.

That diagram is just one way to view division by a fraction. An easier way: DIVIDING by a fraction is the same as MULTIPLYING by the upside-down fraction. For example,

(1/2) ÷ (1/4) = (1/2) × (4/1) = 2

That doesn’t help you answer this particular question, though.

Answer:

C

Step-by-step explanation:

If the length is 10 cm and the width of a rectangle is 3cm , what is the area

Answers

Answer: 30cm

Step-by-step explanation:

The area of a rectangle is determined by length times width

Equation: A=LW

10cm×3cm = 30cm

Answer: 30 centimeters


Step 1: Write an equation

Before we can solve for the area, we must first write an equation. In this question we are asked to examine a rectangle. Much like a square, rectangles follow the standard formula for area. For rectangles, area is equal to length times width. Let’s put this into an equation now.

= ×

This is our equation!

Step 2: Substitute numbers

Now that we have our equation, let’s revise it by substituting the information given to us in the question. Since we are solving for the area we need to leave as a variable. Instead, let’s change the to 10 and the to 3, as told in the question. Let’s do this now.

= ×
= 10 × 3

Step 3: Solve for area

For the final step, let’s solve for the area. We can begin by rewriting the equation.

= 10 × 3

Let’s end by solving the question on the right side of the equation. This will bring us our answer.

= 10 × 3
= 30


This is your answer! The area is equal to 30. Hope this helps! Comment below for more questions.

Two angles of a triangle have the same measure and the third one is 48 degrees greater than the measure
of each of the other two. Find the measure of the LARGEST angle in the triangle

Answers

9514 1404 393

Answer:

  92°

Step-by-step explanation:

If the third angle is 48° larger than either of the other two congruent angles, then the angle total in the triangle will be ...

  x +(x -48) +(x -48) = 180 . . . . . where x is the largest angle

  3x -96 = 180 . . . . . . collect terms

  x -32 = 60 . . . . . . divide by 3

  x = 92 . . . . . . . . add 32

The largest angle in the triangle is 92°.

_____

The other two angles are 44° each.

Let P(1,2,1), Q(1,0,-1), R(2,2,0) be the vertices of a parallelogram with adjacent sides PQ and PR. Find the other vertex S.

Answers

Given:

The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).

PQ and PR are the adjacent sides of the parallelogram.

To find:

The coordinates of vertex S.

Solution:

We know that, the diagonals of a parallelogram bisect each other.

Let the coordinates of the vertex S are (a,b,c).

In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)[/tex]

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1+a}{2}=\dfrac{3}{2}[/tex]

[tex]1+a=3[/tex]

[tex]a=3-1[/tex]

[tex]a=2[/tex]

Similarly,

[tex]\dfrac{2+b}{2}=\dfrac{2}{2}[/tex]

[tex]2+b=2[/tex]

[tex]b=2-2[/tex]

[tex]b=0[/tex]

And,

[tex]\dfrac{1+c}{2}=\dfrac{-1}{2}[/tex]

[tex]1+c=-1[/tex]

[tex]c=-1-1[/tex]

[tex]c=-2[/tex]

Therefore, the coordinates of vertex S are (2,0,-2).

Please help me answer this question if you have time

Answers

Answer:

C: [tex]\frac{7x}{4} + 5y[/tex]

Step-by-step explanation:

1. Realize that 12 inches is 1 feet and 36 inches is 1 yard.

2. Multiply it so that both are inches.

[tex]\frac{5y}{12} * 12 = 5y[/tex]

[tex]\frac{7x}{144} * 36 = \frac{7x}{4}[/tex]

3. Add together [tex]\frac{7x}{4} + 5y[/tex]

Answer:

C.

Step-by-step explanation:

I also recommend to just search these things on the internet. it would be much faster.

1 ft = 12 in

1 yd = 3 ft = 3×12 = 36 in

so, we need to multiply a given number of ft by 12, and a given number of yards by 36 to get the inches.

5y/12 × 12 = 5y

7x/144 × 36 = 7x/4

that is all there is to it.

Can someone help me with this problem

Answers

Answer:

3/11

Step-by-step explanation:

the answer is 9/110 zzzz

a gym class has 10 boys and 12 girls. how many ways can a team of 6 be selected if the team must have the same number of boys and girls

Answers

Answer:

The number of ways of selecting the team is 26,400 ways.

Step-by-step explanation:

Given;

total number boys in the gym, b = 10 boys

total number of girls in the gym, g = 12 girls

number of team to be selected, n = 6

If there must equal number of boys and girls in the team, then the team must consist of 3 boys and 3 girls.

Number of ways of choosing 3 boys from the total of 10 = [tex]10_C_3[/tex]

Number of ways of choosing 3 girls from a total of 12 = [tex]12_C_3[/tex]

The number of ways of combining the two possibilities;

[tex]n = 10_C_3 \times 12_C_3\\\\n = \frac{10!}{7!3!} \ \times \ \frac{12!}{9!3!} \\\\n = \frac{10\times 9 \times 8}{3\times 2} \ \times \ \frac{12\times 11 \times 10}{3\times 2} \\\\n = 120 \times 220\\\\n = 26,400 \ ways[/tex]

Therefore, the number of ways of selecting the team is 26,400 ways.

Find COS Instructions: Find the value of the trigonometric ratio. Make sure to simplify the If needed

Answers

Soh Cah Toa

Sin= opposite/ hypotenuse
Cos= adjacent/ hypotenuse
Toa= opposite/ adjacent

Tan(C)= 20/21

What is the best interpretation of the y-intercept of the line

Answers

Answer:

vertical line

Step-by-step explanation:

because horizontal means horizon which goes left to right across a board

Hi there!

The y-intercept of a line represents its initial value. On a graph, the y-intercept would represent the value of y when the line crosses the y-axis.

For example, if an equation were to model the amount of money someone had in their bank account overtime starting from the day they opened their account, the y-intercept would represent the original amount of money they had.

I hope this helps!

6
1
10 points
Find the probability that a randomly selected person's birthday is not in May. Ignore leap years.
31
334
31
365
334
365
11
2
3
12
Previous

Answers

Answer:

c. [tex]\frac{334}{365}[/tex]

Step-by-step explanation:

May has 31 days and a normal year is 365 days, so the probability is [tex]\frac{31}{365}[/tex]

The probability that isn't in May is: 1 - [tex]\frac{31}{365}[/tex] = [tex]\frac{334}{365}[/tex]

Suppose 5 men and 7 women are on a crowded elevator. At the next floor, four people get off the elevator. Find the probability that three are women.

0.010

0.354

0.424

0.25

Answers

Answer:

B. 0.354

Step-by-step explanation:

Combination of 4 out of 5 + 7 = 12 is:

12C4 = 12!/8!4! = 495

Combination of 1 man and 3 women is:

5C1*7C3 = 5*7!/4!3! = 5*35 = 175

Required probability:

P(3W) = 175/495 ≈ 0.353

Correct choice is B

An arc of 10 meters is formed by a central angle A on a circle radius 4. The measure of A In degrees (to two decimal places) is___.

A. 143.24
B. 36.76
C. 2.50
D. 216.76

Answers

Answer:

arc length   =   circumference • [central angle (degrees) ÷ 360]

central angle (degrees)  = 360 * arc length / circumference

circumference = PI * 2 * 4 = 25.1327412287

central angle (degrees)  = 360 * 10 / 25.1327412287

central angle (degrees)  = 143.2394487828

answer is A--------

3w2 – 21w = 0

Need some help.

Answers

Answer:

The solutions are w=0 ,7

Step-by-step explanation:

3w^2 – 21w = 0

Factor out 3w

3w(w-7) =0

Using the zero product property

3w=0  w-7=0

w =0    w=7

The solutions are w=0 ,7

Find the x- and y-intercepts of the following line: 4x − 3y = 12

Answers

Answer:

x-intercept: (3,0)

y-intercept: (0,-4)

Step-by-step explanation:

To find the x and y-intercepts, we first need to understand what they are. X and y-intercepts are points on the line that passes through the x-axis and y-axis. When a point is an x-intercept, it passes through the x-axis. This means the x-coordinate is an integer, while the y-coordinate is always 0. This can be denoted by (x,0). When a point is a y-intercept, it passes through the y-axis. This means the y-coordinate is an integer, while the x-coordinate is always 0. This can be denoted by (0,y).

Now that we know what x and y-intercepts are, we can plug in x=0 and y=0 to find the intercepts.

x-intercept

4x-3y=12            [plug in y=0]

4x-3(0)=12          [multiply]

4x-0=12              [add both sides by 0]

4x=12                 [divide both sides by 4]

x=3

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

y-intercept

4x-3y=12            [plug in x=0]

4(0)-3y=12         [multiply]

0-3y=12             [subtract both sides by 0]

-3y=12               [divide both sides by -3]

y=-4

Therefore, the x-intercept is (3,0) and y-intercept is (0,-4).

Select the correct answer. Which graph represents this inequality? y ≥ 4x − 3

Answers

Step-by-step explanation:

You didn't put the graph, but you can compare between your graphs and the picture.

Brainliest please

The graph that represents this inequality y ≥ 4x − 3 is attached below.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

We are given that the inequality is;

y ≥ 4x − 3

The slope of the inequality is 4.

The equation of the red line is y = 4x − 3  

The shading is above the line and the line is solid, that means  y is greater than or equal 4x − 3

The graph of this inequality y ≥ 4x − 3 is attached below.

Learn more about inequalities here:

https://brainly.com/question/27425770

#SPJ2

I don’t know how to do this

Answers

Answer:

8 = h

Step-by-step explanation:

see attached photo for explanation

Find the volume of a cone whose height is 12 and whose radius is 4. Use 3.14 for Pi and round your final answer to one decimal place.

Answers

Answer:

201.088 cubic units

Step-by-step explanation:

Given data

height= 12 units

radius= 4 units

The expression for the volume of a cone is given as

Volume = 1/3*πr^2h

Substitute the given data to find the volume of the cone

Volunme= 1/3* 3.142* 4^2* 12

Volume = 1/3* 3.142* 16*12

Volume= 1/3* 603.264

Volume= 201.088 cubic units

Foot Locker is having a 60% off sale on shorts. John paid $18 for a pair of shorts that were on sale. What was the original price of the shorts?

Answers

Answer:

=$45

Step-by-step explanation:

$18=40%

18÷4=4.5

$4.5=10%

4.5×10=45

$45=100%

URGENT HELP

The gradient of the tangent to the curve y = ax + bx^3 at the point (2, -4) is 6.
Determine the unknowns a and b.
a=?
b=?

Answers

Answer:

a = -6

b = 1

Step-by-step explanation:

The gradient of the tangent to the curve y = ax + bx^3, will be:

dy/dx = a + 3bx²

at (2, -4)

dy/dx = a+3b(2)²

dy/dx = a+12b

Since the gradient at the point is 6, then;

a+12b = 6 ....1

Substitute x = 2 and  y = -4 into the original expression

-4 = 2a + 8b

a + 4b = -2 ...2

a+12b = 6 ....1

Subtract

4b - 12b = -2-6

-8b = -8

b = -8/-8

b = 1

Substitute b = 1 into equation 1

Recall from 1 that a+12b = 6

a+12(1) = 6

a = 6 - 12

a = -6

Hence a = -6, b = 1

Subtract the following polynomials.
(3.1x+2.8z)−(4.3x−1.2z)

Answers

Answer:

-2/5 (3x-10z)

Step-by-step explanation:

PLEASE HELP ME AND BE CORRECT

Answers

Answer:

please someone help me with my latest question

Answer:

41 units

Step-by-step explanation:

Its the reflection the length are same

HELP ASAP!!!!!!
Thank you so much

Answers

x_1=-1x2=7y1=1y2=7m:n=3:5

We know

[tex]\boxed{\sf P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)}[/tex]

[tex]\\ \sf\longmapsto p(x,y)=\left(\dfrac{3(7)+5(-1)}{3+5},\dfrac{3(7)+5(1)}{3+5}\right)[/tex]

[tex]\\ \sf\longmapsto p(x,y)=\left(\dfrac{21-5}{8},\dfrac{21+5}{8}\right)[/tex]

[tex]\\ \sf\longmapsto p(x,y)=\left(\dfrac{16}{8},\dfrac{26}{8}\right)[/tex]

[tex]\\ \sf\longmapsto p(x,y)=\left(2,\dfrac{13}{4}\right)[/tex]

m:n=3:5

We know

[tex]\boxed{\sf M(x,y)=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)}[/tex]

[tex]\\ \sf\longmapsto M(x,y)=\left(\dfrac{3(7)+5(-1)}{3+5},\dfrac{3(7)+5(1)}{3+5}\right)[/tex]

[tex]\\ \sf\longmapsto M(x,y)=\left(\dfrac{21-5}{8},\dfrac{21+5}{8}\right)[/tex]

[tex]\\ \sf\longmapsto M(x,y)=\left(\dfrac{16}{8},\dfrac{26}{8}\right)[/tex]

[tex]\\ \sf\longmapsto M(x,y)=\left(2,\dfrac{13}{4}\right)[/tex]

Look at the figure. Find the value of x.
K
x + 5
J
L
2X-7
M

Answers

JK=JM

[tex] \\ \sf \longmapsto \: x + 5 = 2x - 7 \\ \\ \sf \longmapsto \: x - 2x = - 7 - 5 \\ \\ \sf \longmapsto \: - x = - 12 \\ \\ \sf \longmapsto \: x = 12[/tex]

The thicknesses of 81 randomly selected aluminum sheets were found to have a variance of 3.23. Construct the 98% confidence interval for the population variance of the thicknesses of all aluminum sheets in this factory. Round your answers to two decimal places

Answers

Answer:

The confidence interval for the population variance of the thicknesses of all aluminum sheets in this factory is Lower limit = 2.30, Upper limit = 4.83.

Step-by-step explanation:

The confidence interval for population variance is given as below:

[tex][(n - 1)\times S^{2} / X^{2} \alpha/2, n-1 ] < \alpha < [(n- 1)\times S^{2} / X^{2} 1- \alpha/2, n- 1 ][/tex]

We are given

Confidence level = 98%

Sample size = n = 81

Degrees of freedom = n – 1 = 80

Sample Variance = S^2 = 3.23

[tex]X^{2}_{[\alpha/2, n - 1]} = 112.3288\\\X^{2} _{1 -\alpha/2,n- 1} = 53.5401[/tex]

(By using chi-square table)

[(n – 1)*S^2 / X^2 α/2, n– 1 ] < σ^2 < [(n – 1)*S^2 / X^2 1 -α/2, n– 1 ]

[(81 – 1)* 3.23 / 112.3288] < σ^2 < [(81 – 1)* 3.23/ 53.5401]

2.3004 < σ^2 < 4.8263

Lower limit = 2.30

Upper limit = 4.83.

https://www.drfrostmaths.com/util-generatekeyskillpic.php?name=AnglePoint4&width=400&params=%5B61%2C0%2C%22y%22%2C4%5D

Answers

Answer:

Complementary angle

<y+61° =90°

<y = 90°- 61°

<y =29°

I Hope this helps.

Work out 45% of $200.00

Answers

Answer:

If you are using a calculator, simply enter 45÷100×200 which will give you 90 as the answer.

Mark me brainliest plz.

First you change 45% to decimal form (move the decimal two places to the left) which gives .45

Then, you multiply .45 x $200.00

Your answer is $90

Which expression is equivalent to -6(-2/3 + 2x)?

Answers

Answer:

4-12x

Step-by-step explanation:

-6 ×(-2/3 + 2x)

2 × 2-12x=

4-12x

Question 7 of 13
Find the solution to the system of equations,
5x - 3y - Z= 6
-4x + 5y + z = 6
Х
+ 3z = 10

Answers

Answer:

D. x = 4,  y = 4, z = 2

Step-by-step explanation

Plugged in given answers as trying to substitute is impossible, already tried all combinations

the coefficients corresponding to k=0,1,2,5 in the expression (x+y)^5 are

Answers

Answer:

Step-by-step explanation: you got trolded

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