#1
Solve the system using the elimination method.
x + y- 2z = 5
-x + 2y + z = 2
2x + 3y – z= 9

The perimeter of a shape is the summation of the visible lengths of the shape. The area; however, is the product of the length and the width of the shape

The perimeter of the figure is 74cm and the area of the figure is 231 square cm

I've added shape as an attachment.

The perimeter is the sum of all side lengths. So, we have:

[tex]Perimeter = 6cm + 7cm + 15cm + 9cm + 21cm + 16cm[/tex]

[tex]Perimeter = 74cm[/tex]

To calculate the area, we split the shape into 2.

The first has the following dimension:

[tex]Length = 6cm[/tex]

[tex]Width = 7cm[/tex]

While the second has the following dimension

[tex]Length = 21cm[/tex]

[tex]Width = 9cm[/tex]

The area of the shape is:

[tex]Area = 6cm \times 7cm + 21cm\times 9cm[/tex]

[tex]Area = 231cm^2[/tex]

Hence, the shape has a perimeter of 74cm and an area of 231 square cm

Read more about area and perimeters at:

https://brainly.com/question/11957651

Step-by-step explanation:

the answer is in picture

Answer:

There are 3 intervals as following:

x ≤ 1

1 ≤ x ≤3

x ≥ 3

Combining the all, we get:

Answer:

a.2×1= 2 + 3×1=3 +4×2=8 now we have to put this ans and the ans is 13.

b. 5×1×2=10 + 3×1×2=6+ 7×2×2=28 now also we have to put this ans and this ans is 13

Answer:

True.

Step-by-step explanation:

Answer: False

==========================================================

Explanation:

Let's consider a prism that has dimensions of  

and we'll say that the base is a rectangle with length L and width W. The area of the base is L*W = 3*4 = 12 sq ft. The volume of this prism is L*W*H = 3*4*5 = 60 ft^3

If we double the area of the base, then we go from 12 ft^2 to 24 ft^2. If we double the height, then we go from 5 ft to 10 ft.

The new volume of this larger prism is (area of base)*(height) = (24)*(10) = 240 ft^3

The jump from 60 ft^3 to 240 ft^3 is not "times 2". Instead, the multiplier is 240/60 = 4. This example shows that the volume has been quadrupled.

P:-

[tex]\\ \sf\longmapsto (x+y)^2-4x^2y^2[/tex]

[tex]\\ \sf\longmapsto x^2+2xy+y^2-4x^2y^2[/tex]

[tex]\\ \sf\longmapsto x^2+y^2-4x^2y^2+2xy[/tex]

Q:-

[tex]\\ \sf\longmapsto x^2-2(x+y)-y^2[/tex]

[tex]\\ \sf\longmapsto x^2-2x-2y-y^2[/tex]

[tex]\\ \sf\longmapsto x^2-y^2-2x-2y[/tex]

S:-

[tex]\\ \sf\longmapsto x^2-4x-21+10y-y^2[/tex]

[tex]\\ \sf\longmapsto x^2-y^2-4x+10y-21[/tex]

T:-

[tex]\\ \sf\longmapsto a^2-10a+24+6b-9b^2[/tex]

[tex]\\ \sf\longmapsto a^2-9b^2-10a+6b+24[/tex]

Answer:

6 mm and 9 mm are the dimensions of the piece of plastic.

Step-by-step explanation:

Keep in mind the formulas for the area and perimeter of a rectangle:

A = lw

P = 2 (l + w)

List the factors of 54:

1, 2, 3, 6, 9, 18, 27, 54

POSSIBLE DIMENSIONS of the piece of plastic:

1 mm and 54 mm:

Area - 54 mm^2

Perimeter - 110 mm

2 mm and 27 mm

Area - 54 mm^2

Perimeter - 58 mm

3 mm and 18 mm

Area - 54 mm^2

Perimeter - 42 mm

6 mm and 9 mm

Area - 54 mm^2

Perimeter - 30 mm

The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.

Hope this helps!

Answer:

The answer is 94500

Step-by-step explanation:

(If i did the math right that should be the answer)

9514 1404 393

Answer:

  151,875

Step-by-step explanation:

Each population value is 1.5 times the previous one. If that trend continues, the population in year 4 will be 66,500·1.5 = 101,250, and the population in year 5 will be 101,250·1.5 = 151,875.

If the exponential growth trend continues, there will be 151,875 new trees in year 5.

Answer: x=5, y=-1

Hope this helps

Answer a:

Figure 4 = 5 blocks up, 5 blocks right

Figure 5 = 6 blocks up, 5 blocks right

Answer b: Grows 2 blocks each time, 1 blocks at the top and 1 blocks on the right.

Answer c: Since you add 2 blocks each time, you do the opposite so you subtract 2 blocks. The answer will be 1 block.

Step-by-step explanation:

Answer:

[tex]y=-(x-3)^2+1[/tex]

Step-by-step explanation:

Hi there!

Vertex form: [tex]y=a(x-h)^2+k[/tex] where [tex]a[/tex] is a scale factor and [tex](h,k)[/tex] is the vertex of the parabola

On the graph, we can determine that the vertex of this parabola is (3,1). Plug this into [tex]y=a(x-h)^2+k[/tex]:

[tex]y=a(x-3)^2+1[/tex]

The value of a must either be -1 or 1 because the graph has not been stretched or compressed vertically. How can we tell? Well, starting from the vertex, if we increase x by 1, y only changes by 1. If we decrease x by 1 starting from the vertex, y only changes by 1. This wouldn't be the case if the graph had been stretched or compressed.

Now, because this is a downward-facing parabola, we know that the value of a is negative. Because a can only be -1 or 1, a is therefore -1. Plug this into [tex]y=a(x-3)^2+1[/tex]:

[tex]y=-(x-3)^2+1[/tex]

I hope this helps!

Answer:

x=0

Step-by-step explanation:

Tangent Chord Angle = 1/2 Intercepted Arc

A circle is 360 degrees

The missing arc is

360 - (2x+260)

360 -2x-260

100 -2x

Using the formula

50 = 1/2(100-2x)

50  = 50 -x

Subtract 50 from each side

0 = -x

x=0

Answer:

VERTEX: (1,1)     Directrix: Y=0.88    

Step-by-step explanation:

Answer:

vertex = (1, 1 )

Step-by-step explanation:

Given the equation of a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = 2x² - 4x + 3 ← is in standard form

with a = 2 and b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1

Substitute x = 1 into f(x) for corresponding y- coordinate of vertex

f(1) = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

vertex = (1, 1 )

Answer:

-10 - 6p

Step-by-step explanation:

-12 - 6р - (-2)

~Combine like terms

-10 - 6p

Best of Luck!

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{-12 - 6p - (-2)}\\\\\huge\text{COMBINE the LIKE TERMS}\\\huge\textsf{\underline{\underline{-12 - (-2)}} + \underline{\underline{\underline{(-6p)}}}}\\\\\\\huge\text{\underline{\underline{-12 - (-2)}}}\\\huge\textsf{= -12 + 2}\\\huge\textsf{= \bf -10}\\\\\\\huge\textsf{-6p \text{does not have any like terms so it}}\\\huge\textsf{stays the same}\\\\\\\huge\textsf{= \bf -6p - 10}\\\\\boxed{\boxed{\huge\text{Answer: \bf -6p - 10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\boxed{\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]

Answer:

1. a²-a-12

2. 2x-6

3. 2a²+862a-28644

4. x³-x²-26x+30

Step-by-step explanation:

1. (a + 3)(a - 4) = a²-4a+3a-12 = a²-a-12

2. (x - 3)2 = 2x-6

3. (2a – 62)(a + 462) =2a²+924a-62a-28644 = 2a²+862a-28644

4.(x - 5)(x²+ 4x - 6) = x³+4x²-6x-5x²-20x+30 = x³-x²-26x+30

Answer:

-18 y + 91 y = 73 y

(3, -7) y (-6, -13)  

{-18 y, 91 y}

Answer: Prime Factors for 18: 2, 3, and 3

Prime Factors for 19: 19

Prime Factors for 20: 2, 2, and 5

Can you mark brainlest

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Note that I will be using a, b, and y instead of their Greek counterparts.

First, we know that sin(c+d) = sin(c)cos(d) + cos(d)sin(a) and sin(c-d) = sin(c)cos(d) - cos(d)sin(a). We can apply these here to get

sin(b+y) = sin(b)cos(y) + cos(b)sin(y)

sin(b-y) = sin(b)cos(y) - cos(b)sin(y)

sin(a+y) = sin(a)cos(y) + cos(a)sin(y)

sin(a-y) = sin(a)cos(y) - cos(a)sin(y)

Plugging these into our equation, we get

(sin(b)cos(y) + cos(b)sin(y) - (sin(b)cos(y) - cos(b)sin(y)))

/

(sin(a)cos(y) + cos(a)sin(y)-(sin(a)cos(y) - cos(a)sin(y)))

=

2cos(b)sin(y) / 2cos(a)sin(y)

= cos(b)sin(y)/cos(a)sin(y)

= cos(b)/cos(a)

Next, we can see that a+b = π, so we can subtract b from both sides to get a = π -b. Plugging that in for a in our equation, we get

cos(b) / cos(π-b)

After that, we know that cos(c-d) = cos(c)cos(d) - sin(c)sin(d). Plugging that in here, we get

cos(π-b) = cos(π)cos(b) - sin(π)sin(b)

= -cos(b) + 0

= -cos(b)

Plugging that back into our equation, we get

cos(b) / -cos(b) = -1

Answer:

[tex]=\frac{64}{3v}[/tex]

Step-by-step explanation:

One is given the following equation:

[tex]\frac{(4v^-^3)^3}{3v^-^8}[/tex]

Simplify the numerator, remember to raise every number inside the parenthesis to the exponent outside of the parenthesis. Bear in mind, an exponent raised to another exponent is equal to the exponent times the exponent it is raised to. Then simplify by multiplying the number by itself the number of times that the exponent indicates.

[tex]\frac{(4v^-^3)^3}{3v^-^8}[/tex]

[tex]=\frac{4^3(v^-^3)^3}{3v^-^8}[/tex]

[tex]=\frac{4^3v^-^9}{3v^-^8}[/tex]

[tex]=\frac{64v^-^9}{3v^-^8}[/tex]

Bring the variable (v) in the denominator (value under the fraction bar) to the numerator (value ontop of the fraction bar) by multiplying its exponent by (-1). This can be done simply because all operations in this equation are multiplication or division, remember, an exponent is another form of multiplication.

[tex]=\frac{64v^-^9}{3v^-^8}[/tex]

[tex]=\frac{(64v^-^9)(v^(^-^1^)^(^-^8^))}{3}[/tex]

Simplify, remember, multiplying two numbers with the same base that have an exponent is the same as adding the two exponents,

[tex]=\frac{(64v^-^9)(v^(^-^1^)^(^-^8^))}{3}[/tex]

[tex]=\frac{(64v^-^9)(v^8)}{3}[/tex]

[tex]=\frac{64v^-^9^+^8)}{3}[/tex]

[tex]=\frac{64v^-^1}{3}[/tex]

Now bring the variable to the denominator so that there are no negative exponents. Use a similar technique that was used to bring variables with exponents to the numerator.

[tex]=\frac{64v^-^1}{3}[/tex]

[tex]=\frac{64}{3(v^(^-^1^)^(^-^1^))}[/tex]

[tex]=\frac{64}{3v^1}[/tex]

[tex]=\frac{64}{3v}[/tex]

Answer:

 =65/139

Step-by-step explanation:

42 red, 45 green, 20yellow, and 32 purple candies = 139 candies

P( green or yellow) = green or yellow / total

                                =(45+20) / 139

                                  =65/139

area of OAB = 72 = (1/2) sin (AOB) * OA * OB solve the above for sin(AOB) to find sin(AOB) = 1/2 area of ODC = 288 = (1/2) sin (DOC) * OD * OD Note that sin(DOC) = sin(AOB) = 1/2, OD = 18 + y and OC = 16 + x and substitute in the above to obtain the first equation in x and y 1152 = (18 + y)(16 + x)...

HOPE SO IT HELPS YOU

Answer:

12oz bottle

Step-by-step explanation:

10 oz bottle

Take the price and divide by the ounces

2.40 /10 = .24 per ounce

12oz bottle

2.64 / 12 =.22 per ounce

Step-by-step explanation:

the answer is xxl in roman number or 21

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

the answer is c I believe

Answer:

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} \frac{5(\frac{1}{5}+(-4) )}{2\cdot(-4) \cdot (0-0,8)^2} =\frac{^1 \ 5^{ }\!\!\!\!\diagup\cdot \frac{1}{5\!\!\!\!\diagup}-20 }{-8 \cdot 0,64 } = \\\\\\ \frac{-20+1}{-5,12} =\frac{-19}{-5,12} \cdot \frac{25}{25} =\frac{475}{128} =\boxed{\pmb{3\frac{91}{128} }}[/tex]

Answer:

y = 3

Step-by-step explanation:

*As seen in the photo, the fact that EF = GF and the bisector being there makes EH = HG.

5y + 10 = 28 - y

*Add y to both sides.

6y + 10 = 28

*Subtract 10 from both sides.

6y = 18

*Divide both sides by 6.

y = 3

In triangle EFG, with angle bisector FH and equal lengths for EF and GF, the value of y is 3.

Use the concept of a triangle defined as:

A triangle is a 3-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

Given that,

Angle EFG has an angle bisector FH.

EF = GF (the lengths of the corresponding sides of triangle EFG are equal).

EH = 5y + 10 (length of segment EH).

HG = 28 - y (length of segment HG).

To find the value of y,

Start by applying the angle bisector theorem in triangle EFG.

According to the theorem,

The ratio of the lengths of the segments formed by the angle bisector to the corresponding sides should be equal.

Since EF = GF,

Set up the following equation:

EH / HG = EF / FG

Substituting the given values, we have:

[tex]\dfrac{(5y + 10)}{ (28 - y)} = \dfrac{1} { 1}[/tex]

Cross-multiplying, we get:

5y + 10 = 28 - y

Combining like terms, we have:

6y = 18

Dividing both sides by 6, we find:

y = 3

Therefore, the value of y is 3.

To learn more about the triangle visit;

brainly.com/question/1058720

#SPJ3

100÷50000 can be written as 100/50000, then cancel out 2 of the zeroes, and you will get 1/500 or 0.002 as your final answer.

Answer:

It will take 25 minutes

Step-by-step explanation:

4% every minute for 25 mins is 4x25=100

t=4

explanation

2(t+1)=10

2t+2=10

2t=8

t=4