Transform pentagon ABCDE according to (x, y) + (x - 2, y - 3). Which new coordinates are correct for pentagon A'B'C'D'E
A) A'(-1,3)
B) B'(3, 4)
C) C'(6,-1)
D) D'(2,-4)
E) E'(-6, -5)

Step-by-step explanation:

it say the answer is 4 but I don't know how

Answer:

1

Step-by-step explanation:

rhombus is the answer.....

Answer: is parallelogram

Step-by-step explanation:

Answer:

42.5 Cubic Yards

Step-by-step explanation:

To find volume of a rectangle you do length*width*height to get the volume, so 17*15*0.5(because 6 inches is half of a foot) you get 127.5, but they're asking for it in yards not feet so you need to divide 127.5 by 3 and that will give you 42.5.

The volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.

The volume of the cuboid is the space occupied by the 3D object cuboid. It is the product of the length, width, and depth of the cuboid.

As it is given that we need to make a rectangular foundation, therefore, the shape of the foundation will be a cuboid with sides 5 feet wide, 17 feet long, and depth of 6 inches.

Now, as we know large amounts of concrete can be purchased by the cubic yard only, therefore, we will convert each of the sides of the rectangular foundation into yards.

[tex]\rm Wide, w = 5\ feet = 5 \times \dfrac{1}{3} = \dfrac{5}{3}\ yards\\\\Length, L = 17 feet = 17 \times \dfrac{1}{3} = \dfrac{17}{3}\ yards\\\\Depth, D = 6\ inches = 0.5\ feet = 0.5 \times \dfrac{1}{3} = \dfrac{0.5}{3}\ yards\\\\[/tex]

Now, we know that the volume of the cuboid is given as the product of its length, width, and depth. therefore,

[tex]\text{Volume of Cuboid} = Length\times Width\times Depth[/tex]

                             [tex]= \dfrac{5}{3} \times \dfrac{17}{3} \times \dfrac{0.5}{3}\\\\= \dfrac{42.5}{27}\\\\=1.574\rm\ yards^3[/tex]

Hence, the volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.

Learn more about Volume of Cuboid:

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Answer:

x = 2

z = 118

Step-by-step explanation:

The angle with a measure of 118° and the angle labeled "x" are vertical angles

As we know, vertical angles are congruent

Thus, because x's vertical angle equals 118° x also equals 118°

The angle with a measure of 118° and the angle labeled by the expression ( 12x + 38 ) are supplementary angles

Supplementary angles add up to equal 180

Thus, 12x + 38 + 118 = 180

                         ^Note that this is the equation we will use to solve for x

12x + 38 + 118 = 180

step 1 combine like terms

118 + 38 = 156

we now have 12x + 156 = 180

step 2 subtract 156 from each side

156 - 156 cancels out

180 - 156 = 24

we now have 24 = 12x

step 3 divide each side by 12

12x / 12 = x

24 / 12 = 2

we're left with x = 2

Answer:

f(x)=-2x+9 g(x)=-4x^2+5x-3Now, f o g (x) = f{g(x)} = f(4x^2+5x-3) = 2(4x^2+5x-3) + 9 = 8x^2+10x-6 + 9

Step-by-step explanation:

Answer:

To divide by (x+1) in synthetic division, you divide by -1.

-1    1   -7   4   12

         -1    8   -12

—————————-

     1   -8   12   0

This gives us x^2 -8x +12x  which factors to (x-2) (x-6).  We still have the factor of (x+1)  so the zeros will be 2, 6, and -1.

Step-by-step explanation:

Answer:

B. 2s + 100 when s=80 the latest balance of Ahmed’s savings is $260

Step-by-step explanation:

We are given that the savings = $s and current amount  $c.

Now, Ahmed has doubled his savings. This means that the new savings = $2s

Also, he had deposited $100.

So, the current amount of Ahmed is given by c = 2s + 100.

Moreover, if the savings is $80 i.e. s = 80, the current amount is,

c = 2 × 80 + 100

i.e. c = 160 + 100

i.e. c = 260

So, the current amount if savings is $80 is $260.

Hence, the expression for current amount is 2s + 100 and if s = 80, the current amount is $260.

Answer:

354.875

Step-by-step explanation:

Answer:

354 people were seated in each section and 7 people were unable to be seated.

Step-by-step explanation:

Answer:

The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)

Step-by-step explanation:

The coordinates of the vertices of shape ΔP are;

A(2, 3), B(2, 1), C(3, 1)

The length AB = 3 - 1 = 2

The length CB = 3 - 2 = 1

∴ The length AC = √(2² + 1²) = √5

The coordinates of the vertices of shape ΔQ are;

A'(4, 9), B'(4, 3), C'(7, 3)

The length A'B' = 9 - 3 = 6

The length C'B' = 7 - 3 = 3

∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5

∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3

The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2

The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2

Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)

Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).

Answer:

The owner has

Step-by-step explanation:

36 x 36 = 1296,  he has 36 boxes so he put 36 in each box, so there would be 1, 18 CDs, and there would be no boxes left.

Answer:

[tex]P(Z<-2.5) =0.0062097[/tex]

Step-by-step explanation:

From the question we are told that:

Test statistic t =-2.5

Generally the equation for Test for statistics is mathematically given by

 [tex]t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }[/tex]

 [tex]t=-2.5[/tex]

Therefore

P-value from Z table is

For left tailed test

 [tex]P(Z<-2.5) =0.0062097[/tex]

therefore the P-value for the test is

 [tex]P(Z<-2.5) =0.0062097[/tex]

Answer:

Solution given:

Since it is a isosceles trapezoid so it diagonal will be congruent so

PR=QS

PT+RT=12cm

4.9+RT=12cm

RT=12-4.9

RT=7.1cm

PS=QR

QR=9cm

m<QPR=44° base angle of isosceles triangle

m<PTQ=180°-44-44=92°[interior angle remaining of traingle]

m<STR=m<PTQ

m<STR=92°

Answer:

[tex]2x + 20 + 2x + 3x - 10 + 2x - 10 = 360[/tex]

[tex]9x = 360[/tex]

[tex]x = 40[/tex]

Answer:

4x

Step-by-step explanation:

I'm not sure though try multiplying

Answer:

14.67

Step-by-step explanation:

Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?

We have the Equation

150x = 2200

Divide both sides by 150

150x/150 = 2200/150

x = 14.666666667

Approximately x= 14.67

Answer:

divide each side by 150

Step-by-step explanation:

Answer: i cant see it

Step-by-step explanation:

Answer: It's the second one

Step-by-step explanation:

Answer:

Probability = 1 / 5

Step-by-step explanation:

Assuming that rates are from 1 to 5 ; with equal probability of being 1, 2 , 3 , 4, 5 each.

So, probability of 3 stars = Outcomes with 3 stars / Total outcomes

= 1 / 5

Answer:

+-5

Step-by-step explanation:

[tex] - 1 + - 5 = - 6[/tex]

[tex] - 6 + - 5 = - 11[/tex]

Answer:

5

Step-by-step explanation:

The common difference id the difference between two consecutive numbers in the sequence.

(1) -11-(-6) = -11 + 6 = 5

(2) -6-(-1) = -6 + 1 = 5

Therefore 5 is the common difference.

Hope it helps you.

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Answer:

B

Step-by-step explanation:

I cant explain it but its B

Answer:

2 AND -10

Step-by-step explanation:

Answer:

domain: all real numbers except 2 and -10; x-intercept: 4; y-intercept:  1/5

Step-by-step explanation:

The domain consists of the set of all possible values x can be. In a fraction, the denominator cannot be equal to 0. We can solve for the values x cannot be equal to by factoring and exclude them out of the domain once we’ve found them:

To factor x^2 + 8x - 20, we are looking for two numbers that have a product of -20 and a sum of 8. These two numbers are 10 and -2. So, it can be factored to:

(x + 10)(x -2) not equal 0

So x ≠ 2 and x ≠ -10.

To find the x-intercept, the value of y would be zero. We can substitute y as 0 to get:

0 = (x - 4) / x^2 + 8x - 20

The only way for this fraction to equal 0, is for the numerator to be 0. We get the equation:

x - 4 = 0,

And x = 4

To find the y-intercept, the value of x would be 0. We can substitute x with 0 to get:

y = -4 / -20 = 1/5

These answers align with the second option.

The mean is 8 and the lower quartile is 6.

Answer:

12.0 meters

Step-by-step explanation:

Given data

The first is 8.75 meters long

Let us find 37.5% of  8.75

=37.5/100*8.75

=0.375*8.75

=3.28125

Hence the Second seawall is

=3.28125+8.75

=12.0 meters

Answer:

32y² + 7

Step-by-step explanation:

To evaluate g(4y) substitute x = 4y into g(x) , that is

g(4y) = 2(4y)² + 7 = 2(16y²) + 7 = 32y² + 7

Answer:

whats the question...

Step-by-step explanation:

Answer:

How much should I spend on rent and utilities?

We calculate your monthly rent at 25% of your monthly net income (after monthly debt). This allows you to have enough cash left for other expenses and savings. Utilities are in general 2.5% of your monthly net income, and so in this case, you should expect to spend $0 or more per month on utilities.

Step-by-step explanation:

Answer:

the correct answer is e.$400

Answer:

Option B

Step-by-step explanation:

Looking at the options, option B is correct because when multiplying it by matrix A, it yields the matrix AB as follows;

First row of A multiplied by first column of matrix in option D;

(1 × -1) + (0 × 0) + (0 × 0) = -1 which corresponds to the first number on the first row of Matrix AB

Since majority of matrix AB are zero, I will just prove the ones that are not zero.

Thus;

Second row of matrix A is multiplied by second column of matrix in option D;

(0 × 0) + (-1 × -1) + (0 × 0) = 1 which is same as 2nd number on second row in matrix AB

Lastly, third row of matrix A is multiplied by third column of matrix in option D;

(0 × 0) + (0 × 0) + (1 × -1) = -1 which is same as third number in third row in matrix AB

Answer:

Option B

Step-by-step explanation:

Did the plato test

Answer:

To fine the surface area is to add all the area of the faces