HIJ has coordinates H(-4,3), I7(-2, 0), and J (-4,1). Graph the triangle and its
translation 3 units to the right and 2 units down. What are the coordinates of J'?

Answer:

You just need to demonstrate that the expression is not equivalent. To do that, we just need to evaluate the expression with a specific number.

[tex]\frac{3}{8}x+2 \neq \frac{3}{2}x+5[/tex]

For [tex]x=0[/tex], we have

[tex]\frac{3}{8}(0)+2 \neq \frac{3}{2}(0)+5\\2 \neq 5[/tex]

Notice that the answer is true because 2 is not equivalent to 5.

Therefore, the expression is actually non-equivalent.

Answer:

y = 0

Step-by-step explanation:

Given

f(x) = [tex]\frac{3}{x-2}[/tex]

The degree of the numerator is zero 0 (  3[tex]x^{0}[/tex] )

The degree of the denominator is 1

Since the degree of denominator > degree of numerator.

Then there is a horizontal asymptote at y = 0

Answer:

63.4°

Step-by-step explanation:

y = 2x - 1

dy/dx = 2

∴ The angle is arc tan(2) = tan^-1(2) = 63.4°

Answer: [tex]h(x)=10(0.4)^x[/tex]

Step-by-step explanation:

The exponential function h, represented in the table, can be written as [tex]h(x)=ab^x[/tex]

From table, at x=0, h(x) =10

Put theses values in equation,, we get

[tex]10=a.b^0\\\\\Rightarrow\ 10= a (1)\\\\\Rightarrow\ a= 10[/tex]

Also, for x= 1 , h(x) = 4, so put these values and a=10 in the equation , we get

[tex]4=10b^1\\\\\Rightarrow\ b=\dfrac{4}{10}\\\\\Rightarrow\ b= 0.4[/tex]

Put value of a and b in the equation ,

[tex]h(x)=10(0.4)^x[/tex]  →  Required equation.

Answer:  243 cm²

Step-by-step explanation:  If the diameter is 18, the radius is 9. Each square is  9×9, so 81 cm² for each.   Multiply:  81×3 = 243

Or take the length times width  to get area  27×9= 243

Answer:

y = 15

Step-by-step explanation:

The triangles CAB and CED are similar (Using the case AA), so we can write the following relations:

[tex]\frac{12}{28} =\frac{15}{x}=\frac{y}{35}[/tex]

Using the first two fractions, we can find the value of x:

[tex]\frac{12}{28} =\frac{15}{x}[/tex]

[tex]12x = 28*15[/tex]

[tex]12x = 504[/tex]

[tex]x = 504/12 = 42[/tex]

Using the first and last fractions, we can find the value of y:

[tex]\frac{12}{28} =\frac{y}{35}[/tex]

[tex]28y = 12*35[/tex]

[tex]28y = 420[/tex]

[tex]y = 420/28 = 15[/tex]

Answer:

The answer is A: x + 0

Step-by-step explanation:

I got it correct on Edge. Please give 5 stars and have a great day! :)

The translation of the x-coordinate is written as x⇒0 for the triangle ABC.

A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent. They've just moved in one or more directions.

A coordinate system is a two-dimensional number line, such as two perpendicular axes. This is an example of a typical coordinate system: The horizontal axis is referred to as the x-axis, and the vertical axis is referred to as the y-axis.

Given that on a coordinate plane, triangle A B C has shifted 6 units up. The x translation for the triangle is zero.

The x-coordinate translation is written as,

x ⇒ 0

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Answer:  39) 1              40) 2

                41) 1              42) 0

Step-by-step explanation:

39)     ∠A = ?        ∠B = ?       ∠C = 129°

            a = ?          b = 15         c = 45

Use Law of Sines to find ∠B:

[tex]\dfrac{\sin B}{b}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin B}{15}=\dfrac{\sin 129}{45}\rightarrow \quad \angle B=15^o\quad or \quad \angle B=165^o[/tex]

If ∠B = 15°, then ∠A = 180° - (15° + 129°) = 36°

If ∠B = 165°, then ∠A = 180° - (165° + 129°) = -114°

Since ∠A cannot be negative then ∠B ≠ 165°

∠A = 36°        ∠B = 15°       ∠C = 129°       is the only valid solution.

40)      ∠A = 16°        ∠B = ?       ∠C = ?

             a = 15           b = ?         c = 19

Use Law of Sines to find ∠C:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin 16}{15}=\dfrac{\sin C}{19}\rightarrow \quad \angle C=20^o\quad or \quad \angle C=160^o[/tex]

If ∠C = 20°, then ∠B = 180° - (16° + 20°) = 144°

If ∠C = 160°, then ∠B = 180° - (16° + 160°) = 4°

Both result with ∠B as a positive number so both are valid solutions.

Solution 1:  ∠A = 16°        ∠B = 144°       ∠C = 20°    

Solution 2:  ∠A = 16°        ∠B = 4°       ∠C = 160°    

41)       ∠A = ?        ∠B = 75°       ∠C = ?

             a = 7           b = 30         c = ?

Use Law of Sines to find ∠A:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{7}=\dfrac{\sin 75}{30}\rightarrow \quad \angle A=13^o\quad or \quad \angle A=167^o[/tex]

If ∠A = 13°, then ∠C = 180° - (13° + 75°) = 92°

If ∠A = 167°, then ∠C = 180° - (167° + 75°) = -62°

Since ∠C cannot be negative then ∠A ≠ 167°

∠A = 13°        ∠B = 75°       ∠C = 92°       is the only valid solution.

42)      ∠A = ?         ∠B = 119°       ∠C = ?

             a = 34         b = 34           c = ?

Use Law of Sines to find ∠A:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{34}=\dfrac{\sin 119}{34}\rightarrow \quad \angle A=61^o\quad or \quad \angle A=119^o[/tex]

If ∠A = 61°, then ∠C = 180° - (61° + 119°) = 0°

If ∠A = 119°, then ∠C = 180° - (119° + 119°) = -58°

Since ∠C cannot be zero or negative then ∠A ≠ 61° and ∠A ≠ 119°

There are no valid solutions.

Answer:

'll tell you where the problem lies - it is IMPOSSIBLE to form triangles like this.

If the perimeter of the smallest triangle is 6 and one side is 3, then the sum of the other two sides can only be 6 - 3 = 3

One property to enable you to form a triangle is that NO ONE SIDE can be greater or equal to the sum of the other two sides. In the smallest triangle 1 side of length 3 equals the other two sides.

In the middle triangle one side of length "4" equals the sum of the other two sides and

In the large triangle one side of length "5" equals the other two sides.

Therefore when I say "triangle" above I am not actually correct because it is IMPOSSIBLE to form triangles with those dimensions of 1 side and with those perimeters

Answer:

7 batches

Step-by-step explanation:

Complete Question:

Identify the type of sampling used​ (random, systematic,​ convenience, stratified, or cluster​ sampling) in the situation described below;

A researcher selects every 890th social security number and surveys the corresponding person. Which type of sampling did the researcher ​use?

Answer:

Systematic sampling.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Convenience sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Systematic sampling.

A systematic sampling is a type of probability sampling method which involves the researcher selecting or collecting data from a larger population.

Under systematic sampling method, samples are selected from an ordered (fixed) sample population at periodic interval. Therefore, numbers are assigned to every member of the population and then, the "nth" member are selected by the researcher after choosing a fixed starting point.

In this scenario, the researcher selects every 890th social security number and surveys the corresponding person.

Hence, the type of sampling used by the researcher ​is systematic sampling.

Answer:

The required fraction is 3/5

Answer:  3/5

Step-by-Step Explanation:

Let x represent the denominator of the fraction, then we have [tex]\dfrac{x-2}{x}[/tex]

Now add 3 to the numerator and 5 to the denominator and set it equal to 3/5:

[tex]\dfrac{(x-2)+3}{(x)+5}=\dfrac{3}{5}\\\\\\\text{Simplify:}\\\dfrac{x+1}{x+5}=\dfrac{3}{5}\\\\\\\text{Cross Multiply and solve for x:}\\5(x+1)=3(x+5)\\5x+5=3x+15\\2x=10\\x=5[/tex]

Substitute x = 5 into the original fraction:

[tex]\dfrac{(5)-2}{(5)}\quad =\large\boxed{\dfrac{3}{5}}[/tex]

Answer:

6 to the north

Step-by-step explanation:

mark as brainliest

Answer:

The length of arc is (7/12)π cm.

Step-by-step explanation:

Given that the formula to find the length of arc is Arc = (θ/360)×2×π×r where θ represents degrees and r representa radius. Then you have to substitute the following values into the formula :

[tex]arc = \frac{θ}{360} \times 2 \times \pi \times r[/tex]

[tex]let \: θ = 30 \\ let \: r = 3.5[/tex]

[tex]arc = \frac{30}{360} \times 2 \times \pi \times 3.5[/tex]

[tex]arc = \frac{1}{12} \times 7 \times \pi[/tex]

[tex]arc = \frac{7}{12} \pi \: \: cm[/tex]

Answer:  C) A = 6, B = -15

Step-by-step explanation:

In order to have infinitely many solutions, you must end up with 0 = 0 when adding the equations together.

 4x  -  Ay  =  15

-4x  + 6y  =  B  

    (6 - A)y = 15 + B

       ↓               ↓

  6 - A = 0      15 + B = 0

        6 = A             B = -15

Answer:

C

Step-by-step explanation:

TOOK THE TEST

Answer:

Matched pairs design

Step-by-step explanation:

Looking at the options;

-It's not a completely randomized design because a randomized design will assign all individuals to a group which in this case it doesn't.

- It's not a randomized block design because randomized block design will group the subjects in question into 2 or more blocks which have a common characteristic and will then randomly assign subjects in each of the blocks.

-It's a matched pair because every individual/subject undergoes measurements both before and after being treated with the drugs.

Thus, the correct option is matched pairs design.

Step-by-step explanation:

The square root of 5 can be approximately found by doing the square root of 4 to get 2, and the square root of 9 to get 3.  Then, because 5 is closer to 4 than 9, the square root of 5 is about 2.2.

Otherwise, simply do sqrt(5) in a calculator to get 2.23606798

Hope it helps <3

Answer:

x-y

Step-by-step explanation:

X is greater than y so we are subtracting the smaller number from the bigger number

That means we do not need the absolute value signs since x-y will be positive

|x-y| when x> y

x-y

Using numbers

| 5-2|    5>2

5-2

Answer:

c.

Step-by-step explanation:

90 degrees clockwise is (x,y)-(y,-x)

Answer:

The answer is A

Step-by-step explanation:

Took the test

Answer:

Hey there!

The ratio of ducklings to adult ducks is 5:1.

This means for every six ducks, five are ducklings and one is an adult.

If there are 24 ducks, then 5 times 4 = 20 ducklings and 4 adults.

Thus, there are 20 ducklings.

Hope this helps :)

Answer:

20 ducklings.

Step-by-step explanation:

Answer:

y is x because if x+y is 2x then y must equal x

The sum of x and y is twice x. Then the value of y will be equal to x.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that sum of x and y is twice x. Then the value of y will be calculated as below:-

x + y = 2x

y = 2x - x

y = x

Therefore, the sum of x and y is twice x. Then the value of y will be equal to x.

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Answer:

$3750 and $4250

Step-by-step explanation:

x + 500 = y

.045x + .035y = 317.50

.045x + .035(x + 500) = 317.50

.045x + .035x + 17.5 = 317.50

.08x = 300.00

x = 3750

y = 4250

Answer:

p = 1

Step-by-step explanation:

Given that the system intersect at (4, q) then this point satisfies both equations, that is

q = 4² - 4(4) + 3

q = [tex]\frac{1}{2}[/tex] (4) + p

Equating both gives

16 - 16 + 3 = 2 + p, that is

3 = 2 + p ( subtract 2 from both sides )

p = 1

Answer:

A right scalene triangle would have a 90 degree angle and 3 non congruent sides

Step-by-step explanation:

Answer:

The length of longest piece is 105 cm.

Step-by-step explanation:

Given:

Rope is 245 cm long.

Ratio of lengths of first to second piece = 2:3.

Ratio of lengths of second to third piece = 4:5.

To find:

Length of longest piece = ?

Solution:

We are given the ratio of first and second pieces AND

ratio of second and third pieces.

Common link is second piece.

We need to make the ratio of second piece equal in both the ratio to find the ratio of all three pieces.

2:3

  4:5

Multiply 1st ratio by 4 and 2nd ratio by 3:

Now, the ratio becomes:

8:12 and 12:15

And the ratio of three pieces can be represented as:

8: 12: 15, this ratio is the first piece: second piece: third piece

[tex]\Rightarrow 8x+12x+15x = 245\\\Rightarrow 35x = 245\\\Rightarrow x = \dfrac{245}{35}\\\Rightarrow x = 7[/tex]

So, the pieces lengths will be

First piece = [tex]8 \times 7 = 56[/tex] cm

Second piece = [tex]12 \times 7 = 84[/tex] cm

Third piece = [tex]15 \times 7 = 105[/tex] cm

So, the length of longest piece is 105 cm.

Answer: 1080 degrees

Hoped this helped :)

Answer:

  0.92

Step-by-step explanation:

Each year, the value declines. This eliminates choices A and D.

The decline from 33000 to 30360 is slightly less than 10%, so the multiplier from one year to the next is slightly more than 1 -10% = 90%. The only choice in range is ...

  0.92 . . . . the third listed choice

Answer:

17.

Step-by-step explanation:

f(x) = 2x^2 - 1

f(-3) = 2(-3)^2 - 1

= 2 * 9 - 1

= 18 - 1

= 17

Hope this helps!

Hope it will help u....

Step-by-step explanation:

It is given that,

Volume of the cylindrical can 1 is 2 litres and that of cylindrical can 2 is 6.75 litres. The diameter of the smaller can is 16 cm. We need to find the diameter of the larger can.

The formula of the volume of a cylinder is given by :

[tex]V=\pi r^2h[/tex]

So,

[tex]\dfrac{V_1}{V_2}=\dfrac{r_1^2}{r_2^2}[/tex]

Diameter, d = 2r

[tex]\dfrac{V_1}{V_2}=\dfrac{(d_1/2)^2}{(d_2/2)^2}\\\\\dfrac{V_1}{V_2}=(\dfrac{d_1^2}{d_2^2})[/tex]

V₁ = 2 L, V₂ = 6.75 L, d₁ = 16 cm, d₂ = ?

[tex]\dfrac{2}{6.75}=(\dfrac{16^2}{d_2^2})\\\\d_2=29.39\ cm[/tex]

So, the diameter of the larger can is 29.39 cm.

Answer:

Hey there!

Angle 6 and angle 7 are actually supplementary angles, which are angles that add to 180 degrees.

Complementary angles are angles that add to 90 degrees.

Hope this helps :)

Answer:

∠6 & ∠7 are not complementary angles

Step-by-step explanation:

∠6 & ∠7 are supplementary angles on a line