describe system of linear equations using practical situation and mathematical expressions

pahelp pooo​

Based on the change in the perimeter, the scale factor of the dilation is 3.5.

The scale factor of the dilation refers to the number of times the triangle was dilated such that it went from 12 inches to 42 inches.

This dilation can be found as:

= Increased perimeter / Original perimeter

Solving for it would give:

= 42 / 12

= 3.5

In conclusion, the scale factor of the dilation is 3.5.

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Answer:

U dry aint put a answer

Step-by-step explanation:

Transformation involves changing the position of a function.

The equation of the new function is: [tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]

The function is given as:

[tex]\mathbf{f(x) = \sqrt x}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{f'(x) = -\sqrt x}[/tex]

The rule of translation, 4 units down and 5 units left is:

[tex]\mathbf{(x,y) \to ( x + 5,y-4)}[/tex]

So, we have:

[tex]\mathbf{f"(x) = -\sqrt{x + 5} - 4}[/tex]

The rule of vertical stretch by a factor of # is:

[tex]\mathbf{(x,y) \to (x,3y)}[/tex]

So, we have:

[tex]\mathbf{g(x) = 3(-\sqrt{x + 5} - 4)}[/tex]

[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]

Hence, the equation of the new function is:

[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]

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Answer:

B

Step-by-step explanation:

untuk p'

gerak kebawah dr garisan x sebanyak 3 kotak

p'= (-3,10)

untuk p''

disebabkan y=x

terbalikkan nilai p'

p''=(10,-3)

Answer:

Subtract: 5/8 - 1/6 = 5 · 3/8 · 3 - 1 · 4/6 · 4 = 15/24 - 4/24 = 15 - 4/24 = 11/24

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 6) = 24. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 6 = 48. In the following intermediate step, the fraction result cannot be further simplified by canceling.

In other words - five eighths minus one sixth = eleven twenty-fourths.

Answer:

It's a linear expression.

Answer:

linear binomial

Step-by-step explanation:

I got it right in Grandpoint.

Answer:

45:56.25:78.75

Step-by-step explanation:

a triangle=180º total

4+5+7=16

180÷16=11.25

The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The ratio of the interior angles of a triangle = 4 : 5 : 7

Now,

Find the interior angles of a triangle as;

Since, The ratio of the interior angles of a triangle = 4 : 5 : 7

Hence, First angle = 4x

Second angle = 5x

Third angle = 7x

Since, The sum of all the angles in a triangle = 180°

So, We can formulate;

⇒ 4x + 5x + 7x = 180

⇒ 16x = 180

⇒ x = 180/16

⇒ x = 11.25

Thus, First angle = 4x

                          = 4 × 11.25

                          = 45°

Second angle = 5x

                     = 5 × 11.25

                     = 56.25°

Third angle = 7x

                  = 7 × 11.25

                  = 78.25°

Thus, The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.

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Answer:

See the graph attached

Step-by-step explanation:

Every minute = 3m

At time zero, the depth is zero

Giving coordinates of (0, 0)

At time 1 minute, the depth is 3m

Giving coordinates of (1, 3)

This gives a linear equation

Slope = Δy/Δx

= (3-0)/(1-0)

= 3/1

= 3

Take any general point (x, y)

The equation of the line is:

(y-0)/(x-0) = 3

y/x = 3

y = 3x

See the plot which goes up to a depth of 5m

Answer:

I don't know what to do with it

Answer:

3 times x then minus 3 times y equal 2y plus 9

Step-by-step explanation:

Not sure if it works......

that's the verbal sentence (which is not formal sentence) i can think of now......

Answer: is not a full square

Step-by-step explanation:

Just look at the degree ; if it were a multiple of two , then the number would be a full square ; but as we see , 9 is not a multiple of two  , from which it is not a full square

Answer:

m∠QPT = 110°

Step-by-step explanation:

1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.

2. (Solving)

Step 1: Combine like terms.

Step 2: Subtract 20 from both sides.

Step 3: Subtract 5x from both sides.

Step 4: Check if solution is correct.

3. Now, let's plug in 15 for 6x + 20:

Therefore, m∠QPT = 110°.

Answer: 560

Step-by-step explanation:

There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.

The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120

The 30's can be written: 5*30 + 20 = 170

40's: 5*40+20 = 220

50's: 5*50+20 = 270

60's: 5*60+20 = 320

Each set is incremented by 50

We want the sets for 20, 30, and 40, plus the number 50.

(120+170+220+50) = 560

You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.

Answer:

70

The answer is 70

Answer:

-1 and 7

Step-by-step explanation:

-1 x 7 = -7

-1 + 7 = 6

Both outcomes are true with these two numbers.

Answer:

f(-4)=3(-4)+7=0

f(2)=3(2)+7=13

Answer:

Step-by-step explanation:

f(x) = 3 x+7

f(x) = 3 x + 7

f(-4) = 3*-4 + 7

f(-4) = -12 + 7

f(-4) = -5

f(x) = 3 x + 7

f(2) = 3*2+7

f(2) = 6 + 7

f(2) = 13.

:f(-4) =-5 , f(2) =13

Answer:

Your answer is not equivalent :D

Answer: Not Equivelant

Step-by-step explanation: K12 test

Answer:

Since there are 6 sides to a cube, the probability of rolling anything but 5 is five out of six.

Fraction is 5/6

To find the decimal, divide 5 by 6 and round to the nearest hundredth

Decimal is 0.83

Then to find the percent you slide the decimal over two spaces.

Percent is 83%

The ratio is 5:6\

Answer:

Below.

Step-by-step explanation:

As there are a total of 6 numbers on a cube:

p(2) = 1/6  or 0.17 or 16.67%.

The equation of the parabola is y = -3(x + 2)^2 + 6

From the graph, we have:

A parabola is represented as:

y = a(x - h)^2 + k

Substitute (h,k) = (-2,6)

y = a(x + 2)^2 + 6

Substitute (x,y) = (-1,3)

3 = a(-1 + 2)^2 + 6

Evaluate

3 = a + 6

Subtract 6 from both sides

a = -3

Substitute a = -3 in y = a(x + 2)^2 + 6

y = -3(x + 2)^2 + 6

Hence, the equation of the parabola is y = -3(x + 2)^2 + 6

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Answer:

1350min

Step-by-step explanation:

(600÷40)×3=45min for one item

45×30=1320 min for 30 items

Hello Harry4Hudson!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Factorise; 2 cubed multilpied by 2 squared.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Firstly let's change the statement to a numerical expression.

[tex] \cdot\sf \: 2 \: cubed = 2 ^{3} \\ \cdot\sf \: multiplied \: by = \times \\\cdot\sf \: 2 \: squared = 2 ^{2} \\ \\ \sf \: So, \: the \: expression \: becomes \rightarrow \boxed{\tt {2}^{3} \times {2}^{2} }[/tex]

__________________

[tex]2 ^{3} \times 2^{2} [/tex]

To solve this, we must know that while multiplying exponents which have a same base we must take their base as common & add the exponents.

[tex]2 ^{3} \times {2}^{2} \\ = (2) ^{3 + 2} \\ = \underline{\underline{ 2 ^{5} }}[/tex]

We got 2⁵. Now, multiply 2 five times to get the answer.

[tex] {2}^{5} \\ = 2 \times 2 \times 2 \times 2 \times 2 \\ = \huge \boxed{\boxed{\bf 32}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Hey there!

2 cube multiplied by 2 squared

= 2³ × 2²

= (2 × 2 × 2) × (2 × 2)

= 8 × 4

= 32.

Hope it helps ya!

Answer:

second one

Step-by-step explanation:

View the attachment

Option B is correct

Answer:

19

Step-by-step explanation:

Answer:

What the hell AC is not given so you can't find the Perimeter

Step-by-step explanation:

       x+10=0

       x=-10

AB=x+5

        AB=-5

BC=x-2

        BC=-12

Area of ABC = 30cm2

Perimeter of ABC = AB+BC+AC

Answer:

guess hes just smart

Step-by-step explanation:

Answer:

the answer will the sum of multiple of 6& 8 and the lcm of 6 &8

Step-by-step explanation:

ie.

48+24=

Step-by-step explanation:

240,000 = 24 x 10^4

24 followed by 4 zeros = 24 x 104

Just make the number of zeroes be the exponent for 10

24 = 24 x 10^0

240 = 24 x 10^1

2400 = 24 x 10^2

24000 = 24 x 10^3

240,000 = 24 x 10^4 miles

Answer: 7 ( 92 x + 9 )

You have to find the greatest common number

First add the like terms (x) 7x+637x= 644

Then you know that 7 is the greatest common faxtor for 644 and 63

So that is how you get your answer 7(92x+9)

Step-by-step explanation:

I hope this helps!

If you are having a tough time with math you can use:

khan academy

math nation

Answer:

20?.... seems right to me.

Step-by-step explanation:

9514 1404 393

Answer:

  20 kg

Step-by-step explanation:

The mass of the chicken and pork for 1 week is (2 kg) +(3 kg) = 5 kg.

Normally, we think of a month as 4 weeks.

  (4 wk)(5 kg/wk) = 20 kg

If pork and chicken are consumed at the same rate for 4 weeks, the family will consume 20 kg of pork and chicken.

_____

If we consider a year to be 52 weeks (it is actually 1 or 2 days longer), then the number of weeks in an average month is ...

  52/12 = 4 1/3 weeks/month

Multiplying that value by 5 kg/week will give 21 2/3 kg per month.

__

The answer depends on the assumption you make about weeks in a month.

Answer:

y = 2/3x

Step-by-step explanation:

Answer:

y=2/3m

Step-by-step explanation:

the slope, m, equals rise over run

the slope rises 2, then runs 3, making 2/3

Hope this helps!