△JKL has vertices J(−3,5), K(−1,0) and L(8,−4). Which of the following represents the translation of △JKL along vector <−4, 7> and its reflection across the x-axis?

Answers:
J (−3, 5) → J ′(1, −2) → J ″(−1, −2);
K (−1, 0) → K ′(3, −7)→ K ″(−3, −7);
L (8, −4)→ L ′(12, −11)→ L ″(−12, −11)


J (−3, 5) → J ′(1, −2) → J ″(1, 2);
K (−1, 0) → K ′(3, −7)→ K ″(3, 7);
L (8, −4)→ L ′(12, −11)→ L ″(12, 11)


J (−3, 5) → J ′(−7, 12) → J ″(7, 12);
K (−1, 0) → K ′(−5, 7)→ K ″(5, 7);
L (8, −4)→ L ′(4, 3)→ L ″(−4, 3)


J (−3, 5) → J ′(−7, 12) → J ″(−7, −12);
K (−1, 0) → K ′(−5, 7)→ K ″(−5, −7);
L (8, −4)→ L ′(4, 3)→ L ″(4, −3)

Answer:

[tex]y=-|x+1|+1[/tex]

Step-by-step explanation:

Parent function:  [tex]y=|x|[/tex]

Reflect in the x-axis:  [tex]y=-|x|[/tex]

Translate 1 unit to the left:  [tex]y=-|x+1|[/tex]

Translate 1 unit up:  [tex]y=-|x+1|+1[/tex]

Please refer to the attachments to see the individual transformations.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3400\\ r=rate\to 1.95\%\to \frac{1.95}{100}\dotfill &0.0195\\ t=years\dotfill &2.5 \end{cases} \\\\\\ A=3400[1+(0.0195)(2.5)]\implies A=3400(1.04875)\implies A=3565.75[/tex]

Answer:

C.

Step-by-step explanation:

Since you are subtracting a positive from a negative, your absolute value will get greater. With negative numbers, the less they become in value, the higher their absolute value will get. So, since we are subtracting a positive from a negative, we add them together. However, we need to add them as if they were both positive signs.

Once you do this:

 19

+18

You should get 37. Since -19 has a greater absolute value than 18, you keep the negative sign and apply it to 37, getting you -37.

The amount of trace element has Anthony collected, assuming the sample contains the same proportion of the trace element, is 114.6 grams.

Volume of cylinder is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The volume of cylinder can be given as,

[tex]V=\dfrac{\pi r^2h}{4}[/tex]

Here, (d) is the diameter of the base of the cylinder and (h) is the height of the cylinder.

A water sample shows 0.073 grams of some trace element for every cubic centimeter of water. The proportion of element with water is,

[tex]p=\dfrac{0.073}{1}[/tex]

Anthony uses a container in the shape of a right cylinder with a diameter of 11.4 cm and a height of 16.5 cm to collect a second sample, filling the container all the way.

The total volume of the container is,

[tex]V=\dfrac{\pi (11.4)^2\times16.5}{4}\\V\approx1684 \rm\; cm^3[/tex]

The sample contains the same proportion of the trace element. Let the trace element has Anthony collected is x. Thus,

[tex]\dfrac{x}{1684-x}=\dfrac{0.073}{1}\\x=122.932-0.073x\\x+0.073x=122.932\\x=\dfrac{122.932}{1.073}\\x\approx114.6\rm\; gram[/tex]

Thus, the amount of trace element has Anthony collected, assuming the sample contains the same proportion of the trace element, is 114.6 grams.

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Answer:

See below

Step-by-step explanation:

[tex]1.\:\:\overline{BD}||\overline{AE}[/tex]

(By Midsegment theorem)

[tex]2.\:\:m\angle 1=48\degree\implies m\angle 4=48\degree [/tex]

([tex]\angle 1\: \&\:\angle 4[/tex] are alternate angles)

[tex]3.\:\:m\angle 3=25\degree\implies m\angle 2=25\degree [/tex]

([tex]\angle 2\: \&\:\angle 3[/tex] are vertical angles)

[tex]4.\:\:\overline {AE}=17\: cm\implies BD = 8.5\: cm [/tex]

(By midsegment theorem: [tex]BD=\frac{1}{2}AE[/tex]

[tex]5.\:\: BD=\frac{1}{2}AE\\\\\implies (3x+10)=\frac{1}{2}\times (12x+2)\\\\\implies 2(3x +10) = 12x+2\\\\\implies 6x +20= 12x+2\\\\\implies 6x - 12x = 2-20\\\\\implies -6x =-18\\\\\implies x =\frac{-18}{-6}\\\\\implies x = 3\\\\\implies \overline{BD}= (3\times 3 + 10)\\\\=(9+10)\\\\\implies \overline{BD}= (9 + 10)\\\\\implies \huge{\purple{\overline{BD}=19}}[/tex]

Applying the cosine ratio, the measure of angle C in the given image, to the nearest whole degree, is: 77°.

The cosine ratio is given as, cos ∅ = adjacent side/hypotenuse side of a right triangle.

Using the cosine ratio, we have:

cos C = 2/9

C = cos^(-1)(2/9)

C ≈ 77 degrees.

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Answer:

77 is the answer

Step-by-step explanation:

Answer:

m=1

Step-by-step explanation:

y2-y1/x2-x1

-4+3/-4+3

-1/-1

1

Answer:

1 because I don't know how to do this stuff yet

Answer:

72

Step-by-step explanation:

first multiply 6 times 3 = 18 then  do 18 times 4 which equals 72 all together

Answer:

see below

Step-by-step explanation:

He forgot to multiply 'x' by '2'  in the first step

It should be

4x-1 = 5 + 2 x

2x = 6

x = 3

Answer:

Hi! A piecewise function is a function defined by multiple sub-functions, or pieces of different functions over different intervals. Piecewise definition is a way of expressing the function and is not actually integral to the function itself.

f(x) = |x - 2| is an absolute value function. As a piecewise function, it's written like this:

f(x) = {x - 2, x ≥ 2

        {-x + 2, x < 2

Hope this helps! Have a great day.

Answer:

If the bacteria grow for six hours, each bacterium will divide 3 times per hour × 6 hours = 18 times.

Every time the bacteria reproduce, the number doubles.

Answer:

Step-by-step explanation:

1 > 1,2

2 > 5

3 > 0, 0, 5

4 > 0, 5

I used to the arrows to separate the numbers but that is really supposed to be the line dividing the the stem's and the leaves.

Answer:

any value of y >= 8  

Step-by-step explanation:

Answer:

slope = 3/2

the plant grows 3 centimeters every 2 weeks

Step-by-step explanation:

Answer: hope I helped look down

Step-by-step explanation:

h=A2πr﹣rr Radius A Surface area

Answer:

Step-by-step explanation:

Answer:

2.14 per year :)

Step-by-step explanation:

First we subtract :)

190 - 145 = 45

Now we divide :)

45/21 = 2.14

2.14 pounds per year

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

Step-by-step explanation:

Remark

The triangle with the shaded region makes exactly 1/4 of the entire circle. So the plan is to find the area of the circle and divide by 4. That gives you the area of the triangle and the shaded region. Then you find the area of the triangle and subtract it from what you just found.

Area of the circle

Area of the circle = pi * r^2

r = 12 cm

pi = 3.14

Area of the circle = 3.14 * 12^2

Area of the circle = 3.14 * 144

Area of the circle = 452.16 cm^2

Area of 1/4 of the circle

Area of 1/4 of the circle = (1/4)*452.16

Area of 1/4 of the circle = 113.04

Area of the triangle

b = r

h = r

b = 12 cm

h = 12 cm

Area = 1/2 b * h

area = 1/2 * 12 * 12

area = 72

Area of the shaded part

Shaded part = area of 1/4 of the circle - area of triangle

Area shaded part = 113.04 - 72 = 41.04

Answer area of shaded part = 41.04

Answer: 40

Step-by-step explanation: The angle on the straight line is 180, you have 140 the other angle is 180-40. It is also equal to the alternate angle shown

Answer:

b=20°, c=160°

Step-by-step explanation:

b=20° [vertically opposite angle]

c+b=180° [angle at same line ]

c=180° - 20°

c = 160°

Answer:

(fx^2)/3 - 6f

Step-by-step explanation:

circumference = πd

= 3.14 × 14

43.98 ft

hope it helps...!!!

Answer:

44

Step-by-step explanation:

We are given that the diameter is 14 ft.

The radius is half the diameter, so the radius is 7 ft.

Now, the formula for circumference is: 2πr

So: 2 * π * (7) = 43.98

Round: 43.98 >> 44.0

The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116.

Here in this question we should understand the situation like a game with the following rules for the account balance:

After a careful reading, we apply the rules described above and have the following calculation:

x = $ 200 - $ 20 - $ 20 - $ 12 - $ 20 - $ 12 - $ 42 + $ 57 - $ 15

x = $ 116

The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116. [tex]\blacksquare[/tex]

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The best prediction for the number of times it will not land on yellow would be 29 times.

We have,

Assuming the spinner has an equal probability of landing on each color, The probability of it not landing on yellow is 4/5.

So,

If you spin the spinner 36 times, the expected number of times it will not land on yellow is:

= (4/5) x 36

= 28.8

Since you can't have a fraction of a spin,

= 28

Thus,

The best prediction for the number of times it will not land on yellow would be 29 times.

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Answer:

134

Step-by-step explanation:

164 minus 30 equals 134. Julia has 134 apples left after giving her friend 30 of them.

Answer:

if your asking how much she has in all it would be 134

Step-by-step explanation:

Because

164

30-

____

134