Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?

Answer:

Hence, the coordinates of pre-image are:

A(1,6) , B(0,4) , C(3,4) , D(2,6)

Step-by-step explanation:

We have to find the  coordinates of the vertices of the pre-image given?

Ry= −x ◦ T_1, −2(x, y)

i.e. we have to find the composition of reflection along the line y=-x and translation with the rule:

(x,y) → (x+1,y-2)

Now we have coordinates of A",B",C" and D" as:

A"(-4,-2)

B"(-2,-1)

C"(-2,-4)

D"(-4,-3)

Now we are asked to find the coordinates of the pre-image.

Also when any point is reflected along y=-x then the point is transformed to:

(x,y) → (-y,-x)

Let A,B,C and D are the points of the pre-image.

Hence, the coordinates of the pre-image are given as:

so, the transformation is given as:

A→A'→A"

B→B'→B"

C→C'→C"

D→D'→D"

Where A',B',C',D' represents the transformation after translation and A",B",C",D" represents the transformation after reflection as well.

The coordinates of A' are (2,4)

B' are (1,2)

C' are (4,2)

and D' are (3,4)

Now, the coordinates of pre-image are given as:

A'(x,y)  → A(x-1,y+2)=A(1,6)

B'(x,y)  → B(x-1,y+2)=B(0,4)

C'(x,y)  → C(x-1,y+2)=C(3,4)

and D'(x,y)  → D(x-1,y+2)=D(2,6)

Hence, the coordinates of pre-image are:

A(1,6) , B(0,4) , C(3,4) , D(2,6)

Answer its A (1,6) B (0,4) C (3,4) D (2,6)

Step-by-step explanation:

The surface area of a sphere with a radius of 9 units is given by the formula 4 (pi) (r)2, resulting in an area of 324 (pi) square units, or approximately 1017.88 square units when using 3.14159 for (pi).

Calculating the Surface Area of a Sphere

To find the surface area of a sphere, you will need to use the formula: surface area = 4 (pi) (r)2, where r is the radius of the sphere. For a sphere with a radius of 9 units, you would calculate the surface area as follows:

Surface Area = 4 (pi) (92)

Surface Area = 4 (pi) (81)

Surface Area = 324 (pi)

So, the surface area of the sphere is 324 (pi) square units. If you use the approximate value of (pi) = 3.14159, then the surface area would approximately be 1017.88 square units.

Answer:

Well, there are x amounts of white flower and 6 cups of wheat flower.

So the total flower is x + 6

Given that  is the total, the equation you would use is:

y=x+6

The constraints are as follows:

y can only be > 6

And if y=0, x would have to be -6 (which is impossible) 

Answer:

D) y=x+6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.

Step-by-step explanation:

Got it right on my test

The original point (-6, -9) is shifted 1 unit to the left and 5 units down to reach the new position (-7, -14).

To find the image point after translating the point (-6, -9) left 1 unit and down 5 units, we subtract the translation values from the coordinates of the original point.

For the horizontal translation (left 1 unit), we subtract 1 from the x-coordinate:

New x-coordinate = -6 - 1 = -7

For the vertical translation (down 5 units), we subtract 5 from the y-coordinate:

New y-coordinate = -9 - 5 = -14

Therefore, the image point after the translation is (-7, -14).

This means that the original point (-6, -9) is shifted 1 unit to the left and 5 units down to reach the new position (-7, -14).

This translation is a geometric operation commonly used in mathematics and computer graphics to move objects or points in a coordinate plane.

Final answer:

To find two consecutive even integers whose product is 168, we set up and solved the equation n(n + 2) = 168, which yielded n = 12 and n + 2 = 14. Hence, the integers are 12 and 14.

Explanation:

The product of two consecutive even integers being 168 requires us to set up an algebraic equation. Let's denote the first even integer as n. Since we are dealing with consecutive even integers, the next integer would be n + 2. The product of these integers is given to be 168, so our equation is n * (n + 2) = 168.

Expanding this we get n^2 + 2n - 168 = 0. Factoring the quadratic equation, we find that (n + 14)(n - 12) = 0. Therefore, the values of n that satisfy this equation are -14 and 12. We are interested in the positive solution since integer sizes are always positive, so the first integer is 12. Consequently, the second integer is 12 + 2 = 14. Therefore, the two consecutive even integers are 12 and 14.

Answer:

The sides of the first quadrilateral are 60 in, 40 in, 30 in and 12,5 in

The sides of the second quadrilateral are 24 in, 16 in, 12 in and 5 in

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

Arrange the sides of each quadrilateral from largest to smallest

First quadrilateral            Second quadrilateral

Longest side=60 in          Longest side=c in

Second side=40 in           Second side=16 in

Third  side= a in                Third  side= 12 in

Fourth side=b in                Fourth side=5 in

so

[tex]\frac{60}{c}=\frac{40}{16}=\frac{a}{12}=\frac{b}{5}[/tex]

Find the value of c

[tex]\frac{60}{c}=\frac{40}{16}[/tex]

[tex]c=60(16)/40[/tex]

[tex]c=24\ in[/tex]

Find the value of a

[tex]\frac{40}{16}=\frac{a}{12}[/tex]

[tex]a=40(12)/16[/tex]

[tex]a=30\ in[/tex]

Find the value of b

[tex]\frac{40}{16}=\frac{b}{5}[/tex]

[tex]b=40(5)/16[/tex]

[tex]b=12.5\ in[/tex]

Final answer:

To find the unknown sides of the two similar quadrilaterals, we calculate the scale factor using known side lengths, then apply this factor to determine the missing side lengths, resulting in 7.5 inches for the second quadrilateral and 128 inches for the first quadrilateral.

Explanation:

The subject of this question is finding the unknown lengths of the sides of two similar quadrilaterals. To determine the lengths, we first need to identify the scale factor that relates the two quadrilaterals. Given that the two longest sides of the first quadrilateral are 40 inches and 60 inches, and that the three shortest sides of the second quadrilateral are 5 inches, 12 inches, and 16 inches we can determine that the quadrilaterals must have been scaled by a factor that relates these sides.

To find the scale factor, we divide one of the known sides of the first quadrilateral by the corresponding side of the second. Let's use the sides 40in and 5in for this purpose: Scale factor = 40in / 5in = 8.

Now, to find the length of the unknown side of the second quadrilateral, we would multiply the length of the corresponding side of the first quadrilateral by the inverse of the scale factor, which in this case is 1/8. Conversely, to find the missing length of the first quadrilateral, we take the known length of the second quadrilateral and multiply it by the scale factor.

To find the unknown length of the longest side of the second quadrilateral, we multiply the length of the longest side of the first quadrilateral (which could be either 40in or 60in) by the inverse of the scale factor: Unknown longest side of second quadrilateral = 60in ×(1/8) = 7.5in.

Similarly, the unknown third side of the first quadrilateral is found by multiplying the third known side of the second quadrilateral by the scale factor: Unknown third side of first quadrilateral = 16in ×8 = 128in.

Therefore, the unknown sides of the two figures are 7.5in for the second quadrilateral and 128in for the first quadrilateral.

Answer:

17

Step-by-step explanation:

anything in absolute value brackets is going to be positive. Absolute value is the distance of that specific number on the number line from 0. so ex: -3 is 3 units away from 0 so therefore, the answer is 3.

Answer:

at first we should simplify each equation by find its roots

(x^2+5x+6) =

(x+2) (x+3)

(x^2-x-6)=

(x-3) (x+2)

sox^2+5x+6÷x^2-x-6=

(x+2)(x+3)÷(x-3)(x+2)=

A(x+3) ÷(x-3)

Answer:

x+3/x-3

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Substitute the given values for a and b into the expression and evaluate

a + b = 43 + (- 29) = 43 - 29 = 14

Answer:

Step-by-step explanation:

a + b = 43 +(-29) =43-29 = 14

Answer:

explained

Step-by-step explanation:

a. daily requirement of milk = 4 liters

15 liters of milk is present

this 15 liters of milk will be used up in [tex]\frac{15}{4}[/tex] days

= 3(3/4) days , so after 3 days only more milk will be required to purchase.

b. daily milk consumption is reduced to half = 2 liters

Now, 15 liters of milk will be used up in [tex]\frac{15}{2}[/tex]= 7.5 or 7(1/2) days.

Hence now milk will be purchased after 7 days.  

Answer:

52 ounces

Step-by-step explanation:

multiply the volume value by 8

To convert 6 1/2 cups to ounces, multiply the number of cups by 8 (since 1 cup equals 8 ounces). Six cups equal 48 ounces, and half a cup equals 4 ounces, which totals to 52 ounces. Therefore, 6 1/2 cups is equal to 52 ounces.

To convert 6 1/2 cups to ounces, we first need to understand the relationship between cups and ounces. A cup is a unit of volume commonly used in cooking to measure liquids, and it is equivalent to 8 ounces. To find out how many ounces are in 6 1/2 cups, we multiply the number of cups by the number of ounces in one cup.

Here is the step-by-step conversion:

So, 6 1/2 cups equals 52 ounces.

Answer:

the number 151

Step-by-step explanation:

this because if you round 151 to the nearest hundread it would give you 200 but if you round it to the nearest ten ot would give you 150 which is closer to the actual number than 200.

Answer:

There are no figures below...

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

36 ÷ (1 - |2 - 7|) =

Start with the calculation inside the absolute value.

= 36 ÷ (1 - |-5|)

Now take the absolute value of -5 which is 5.

= 36 ÷ (1 - 5)

Do the operation inside the parentheses, 1 - 5 = -4.

= 36 ÷ (-4)

Finally divide. Remember that positive divided by negative is negative.

= -9

Answer:

50

Step-by-step explanation:

21 + 4 = 25

25 × 2 = 50

Rate as brainliest

The answer would be "-3/8 + -1/10."

Simplify means to reduce so in this case we aren't solving the question we are reducing it into simpler terms.

[tex]-\frac{3}{8} -\frac{1}{10}[/tex]

According to the rules of KCC (Keep Change Change) you would have to turn the subtraction sign into a addition sign and make the positive 1/10 into a negative.

[tex]-\frac{3}{8} +-\frac{1}{10}[/tex]

The equation cannot be reduce no further therefore that would be your answer.

Hope this helps.

Answer:

$76.50

Step-by-step explanation:

Let's split this up.

First, we will do the 150 parts. But, we need to subtract so that we know how many parts he worked on over 150.

So...

210-150=60

Now that we know how many parts he worked on over 150, let's multiply.

.35*150=52.50

Now, let's multiply what he did over 150.

.40*60=24

Finally, we have to add his pay up.

52.50+24.00=76.50

Making your answer...

$76.50

Hope this helps!!!

Brady

Answer:

-3, 7

Step-by-step explanation:

EG = 5, so the distance between E and G is five.

G can be 5 units to the right of E:

2 + 5 = 7

G has coordinate 7.

G can be 5 units to the left of E:

2 - 5 = -3

G has coordinate -3.

Answer: -3, 7

Answer: X = y - yi - 7i

               Y = (x + 7i)/(1 - i)

Step-by-step explanation: for the case of (X) you only need to pass the 7i to the other side with the subtraction sign (-7i), then we get this equation:

x + 7i = y − yi

X = y - yi - 7i

in the case of the (Y), first we select the common multiple.

y - yi = y(1 - i)

if we replace it in the original expression, we get the following equation:

x + 7i = y(1 - i)

after that you can pass the value (1 - i) to the other side dividing,

Y = (x + 7i)/(1 - i)

Answer:

x=y-yi-7i

y=ix+x-7+7i

        2      

Step-by-step explanation:

In order to get the answer to this question you will have to figure out how much 120 US dollars gets you in Canadian dollars.

[tex]120=158.36[/tex]

[tex]158.36-20=138.36[/tex]

[tex]138.36=104.87[/tex]

[tex]=104.87[/tex]

Therefore your answer is "104.87."

Hope this helps.

Answer:

130

Step-by-step explanation:

the answer is $130 because I really need points to ask a question, I recommend googling the question or googling the currency

Answer: D

Step-by-step explanation:

If it is rotates 360 degrees it lands back where it started.

Answer:

Step-by-step explanation:

18=2×3×3

48=2×2×2×2×3

G.C.F.=2×3=6

18+48=66

6×11=66

Answer:

5, 11, 17, 23, 29

Step-by-step explanation:

5+6=11+6=17+6=23+6=29

Answer:  3,495,265

Step-by-step explanation:

[tex]T_{n+1}=35-2T_n\quad and\quad T_1=5, then\\T_{1+1}=35-2(T_1)\implies T_2=35-2(5)\implies T_2=25\\T_{2+1}=35-2(T_2)\implies T_3=35-2(25)\implies T_3=-15\\T_{3+1}=35-2(T_3)\implies T_4=35-2(-15)\implies T_4=65\\T_{4+1}=35-2(T_4)\implies T_5=35-2(65)\quad \implies T_5=-95\\T_{5+1}=35-2(T_5)\implies T_6=35-2(-95)\implies T_6=225\\.\qquad \qquad \qquad \qquad \qquad \qquad \downarrow\\.\qquad \qquad \qquad \qquad \qquad \qquad \downarrow\\.\qquad \qquad \qquad \qquad \qquad \qquad \downarrow[/tex]

[tex]T_{18+1}=35-2(T_{18})\implies T_{19}=35-2(873,825)\implies T_{19}=-1,747,615\\T_{19+1}=35-2(T_{19})\implies T_{20}=35-2(-1,747,615)\implies T_{20}=3,495,265[/tex]

Answer:

Step-by-step explanation:

Least: 2/15 , 1/5 , 3/5 -greatest

Answer:

2/15,1/5=3/15,3/5=9/15

Step-by-step explanation:

Look at the answer it is from least to greatest

Answer:

-74.069, -74.69, 74.59, 74.6

Step-by-step explanation:

negative numbers are smaller than positives

Answer:

-74.69, -74.069, 74.59, 74.6

Step-by-step explanation:

2.17 years is 1140552 Minutes

Answer:

wait do u want me to convert 17 years or 2.17 years

ill do both

17=8.935e+6

2.17=1140552

Step-by-step explanation:

44 + 37 + x = 180

x + 81 = 180

x = 180 - 81

x = 99

n + 99 = 180

n = 180 - 99

n = 81

Answer:

[tex]\large\boxed{x<-1\dfrac{1}{2}\ or\ x>9\dfrac{3}{5}\to x\in\left(-\infty,\ -1\dfrac{1}{2}\right)\ \cup\ \left(9\dfrac{3}{5},\ \infty\right)}[/tex]

Step-by-step explanation:

[tex]12x+7<-11\qquad\text{subtrct 7 from both sides}\\\\12x+7-7<-11-7\\\\12x<-18\qquad\text{divide both sides by 12}\\\\\dfrac{12x}{12}<\dfrac{-18}{12}\\\\x<-\dfrac{18:6}{12:6}\\\\x<-\dfrac{3}{2}\\\\x<-1\dfrac{1}{2}\\===========================[/tex]

[tex]5x-8>40\qquad\text{add 8 to both sides}\\\\5x-8+8>40+8\\\\5x>48\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}>\dfrac{48}{5}\\\\x>\dfrac{48}{5}\\\\x>9\dfrac{3}{5}\\===========================[/tex]

[tex]x<-1\dfrac{1}{2}\ or\ x>9\dfrac{3}{5}[/tex]