6. Find the area of the parallelograr
​

Around 58 book covers

Answer:

23

Step-by-step explanation:

put 3 in place of x and solve.

Answer:

f(3) = 23

Step-by-step explanation:

To evaluate f(3) substitute x = 3 into the expression

f(3) = 2(3)² + 5[tex]\sqrt{3-2}[/tex]

     = (2 × 9) + (5 × [tex]\sqrt{1}[/tex])

    = 18 + (5 × 1) = 18 + 5 = 23

Answer:

Q1: 11x - 8

Q2: 2x + 10

Q3: -3v + 12

Answer:

Q1: 11x + 8

Q2: 2x + 10

Q3: 3v - 12

Answer:

The answer is length: 9, width: 5

Step-by-step explanation:

5 x 9 = 45

5 x 4 = 20

20 - 11 = 9

Hope this helps :P

The length of a rectangle is 9 cm and width of the rectangle is 5 cm.

The area of Rectangle is length times of width.

Length of a rectangle is 11 centimeters less than four times its width.

Length=4W-11

Width=W

Area=45

Area=Length×Width

=(4w-11)w

45=4w²-11w

4w²-11w-45=0

After applying a =4, b=-11 and c=-45 in the quadratic formula

we get w=5

Plug in the value of w in length

Length=4W-11

=4(5)-11

=20-11

=9

Hence, the length of a rectangle is 9 cm and width of the rectangle is 5 cm.

To learn more on Rectangle click:

https://brainly.com/question/20693059

#SPJ2

Answer:

14

Step-by-step explanation:

Rewriting this as

-8      -7

----- · -----

 1         4

makes this problem a bit easier to do.  Reduce the -8/4 to -2:

-8      -7       -2(-7)

----- · ----- = ----------- = 14

 1         4           1

ans:-7.54

do u understand

Answer:

-7.44

Step-by-step explanation:

Just do it out

Answer:

Step-by-step explanation:

From the net:

S.A. = 2(25 in²) + 4(60 in²) = 50 in² + 240 in² = 290 in²

From the model:

The formula of a Surface Area of a rectangular prism:

S.A. = 2(lw + lh + wh)

l - length

w - width

h - height

We have l = 5 in, w = 5 in, and h = 12 in. Substitute:

S.A. = 2(5 · 5 + 5 · 12 + 5 · 12) = 2(25 + 60 + 60) = 2(145) = 290 in²

Answer: 290 in.^2

Step-by-step explanation: Just did on iready. Hope i helped! (:

ANSWER

[tex] \frac{1}{2} [/tex]

EXPLANATION

The given expression is;

[tex]2 {x}^{ - 4} y[/tex]

We want to find the value of this expression when x=2 and y=4.

We substitute to get,

[tex]2 {(2)}^{ - 4} (4) [/tex]

[tex]8 \times {2}^{ - 4} [/tex]

Recall that

[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]

This implies that,

[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{ {2}^{4} } [/tex]

[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{16 } = \frac{1}{2} [/tex]

Answer:

Step-by-step explanation:

Answer:

[tex]\large\boxed{A=25\pi}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

We have r = 5. Substitute:

[tex]A=\pi(5^2)=25\pi[/tex]

Answer:

[tex]-2\frac{2}{3} y^{2} -1\frac{8}{9}y -3\frac{1}{9}[/tex]

Step-by-step explanation:

Answer:

If x = 20, then y = 12.5/20 = 0.625

Step-by-step explanation:

The pertinent relationship is y = k/x, where k is the constant of proportionality.

Subbing 5 for y and 2.5 for x yields 5 = k/2.5, so k = 12.5.

Then the specific relationship fit to this problem is y = 12.5/x.

If x = 20, then y = 12.5/20 = 0.625

Step 1: Make a proportion by setting [tex]\frac{1}{9}[/tex] equal to [tex]\frac{x}{27}[/tex]

[tex]\frac{1}{9} = \frac{x}{27}[/tex]

Step 2: Cross multiply (27 will be multiplied by its diagonal which is 1. 9 will be multiplied by its diagonal which is x)

27 × 1 = 9x

27 = 9x

Step 3: Isolate x by dividing 9 to both sides

[tex]\frac{27}{9} = \frac{9x}{9}[/tex]

3 = x

^^^This means that the numerator is 3!

so...

[tex]\frac{1}{9} = \frac{3}{27}[/tex]

Hope this helped!

Answer:

3/27

Step-by-step explanation:

1/9 is equal to 3/27 how i got my answer was going threw all of the equivlent fractions to get to 3/27

you can also do for the numerator is 1x1=1 then the denominator 9x1=9

that is 1/9 then you go down the line

numerator= 1x2=2 -------  

denominator=9x2=18------> 2/18

numerator=1x3=3

denominator= 9x3=27------> 3/27

sorry if its confusing but you should see the pattern

Answer:

False

Step-by-step explanation:

Continuous data is data that can take any value within a range, including non-whole number values.

Because the number of tickets sold can only take whole number values, it is not an example of continuous data.

False

I hope this helps you understand continuous data. Have a great day. :)

Answer: False

Step-by-step explanation: Continuous data is data that can be measured. The number of tickets that were sold would only be positive integers meaning that there can't be a fraction of a ticket sold. Since discrete data is data that can be counted, the number of tickets sold would be an example of data that is discrete.

the square root is 13.7 hope this helps!

[tex] \sqrt{ - 188} = 13.7113092 \: i[/tex]

hope that helped you!

Answer:

Step-by-step explanation:

If AB is parallel to XY, then they have the same slope.

If the slope of AB is 2/3, then the slope of XY is 2/3 too.

Answer:

(-7,-5)

Step-by-step explanation:

Converting the circle into the form (x-h)^2+(y-k)^2=r^2, we get

x^2+14x+49+y^2+10y+25=7+25+49

So we get

(X+7)^2+(y+5)^2=81

So the center of the circle is (-7,-5)

Answer:

centre = (- 7, - 5)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Arrange the equation by placing the x and y terms together

x² + 14x + y² + 10y - 7 = 0 ( add 7 to both sides )

x² + 14x + y² + 10y = 7

Use the method of completing the square

add (half the coefficient of the x/y term)² to both sides

x² + 2(7)x + 7² + y² + 2(5)y + 5² = 7 + 7² + 5²

(x + 7)² + (y + 5)² = 7 + 49 + 25 = 81 ← in standard form

with (h, k) = (- 7, - 5) ← centre of circle

[tex]\bf \begin{cases} \boxed{y}=6x-11\\ \cline{1-1} -2x-3y=-7 \end{cases}\qquad \implies \stackrel{\textit{substituting \underline{y} in the 2nd equation}}{-2x-3\left( \boxed{6x-11} \right)=-7}[/tex]

[tex]\bf -2x-18x+33=-7\implies -20x+33=-7\implies -20x=-40 \\\\\\ x=\cfrac{-40}{-20}\implies \blacktriangleright x=2 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that }}{y=6x-11}\implies y=6(2)-11\implies y=12-11\implies \blacktriangleright y=1 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (2,1)~\hfill[/tex]

Step 1: Plug 6x - 11 in for y in the equation -2x - 3y = -7

-2x - 3(6x-11) = -7

Step 2: Distribute -3 to the numbers inside the parentheses (6x -11)

-2x - 18x + 33 = -7

Step 3: Combine like terms

x's go with x's

-20x + 33 = -7

Step 4: Subtract 33 to both sides

-20x = -40

Step 5: Isolate x by dividing -20 to both sides

x =  2

Step 6: To solve for y plug 2 in for x in the equation y = 6x - 11

y = 6(2) - 11

y = 12 - 11

y = 1

(2, 1)

Check:

1 = 6(2) - 11

1 = 12 - 11

1 = 1

-2(2) - 3(1) = -7

-4 - 3 = -7

-7 = -7

Hope this helped!

Answer:

Step-by-step explanation:

I'm not sure I know what the paper ball situation is, but I can tell you that especially when working with a set formula in physics, math or chemistry (I'd include biology if I knew any biology) that it is a good idea to write down your givens.

The equation you are given is going to fall apart once you know what your givens are and what they do.

I just looked up the Paper Ball Situation. This is a wonderful piece of physics. It immediately opened up all sorts of treasures once they experimenters thought of using tin foil. Givens are a necessity in such an experiment.

Answer:

It was helpful because it breaks things up for a better understanding.

Step-by-step explanation:

V= length x width height.

5/3 x 1/4 x 3/2

15 /24 or 5/8

Answer:

180.5 in²

Step-by-step explanation:

The area (A) of a kite is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ← the 2 diagonals

d₁ = 2 × 9.5 = 19 in and d₂ = 12 + 7 = 19 in

A = 0.5 × 19 × 19 = 180.5 in²

180.5 is the answer !

Answer:

Total Area = height * width + height * length + width * length

Total Area = 3.8 * 4 + 3.8 * 5.5  + 4 * 5.5 =

15.2 + 20.9 + 22 =

58.1 square units

Step-by-step explanation:

Answer:

Amount invested at 6 percent interest is $69,200

Amount invested at 9 percent interest is $34,600

Step-by-step explanation:

Let the amount invested (or principal) at 6 percent interest be $2x

The principal(P) (amount invested) at 9 percent interest will be $x

Amount(A) = P(1 + rt)

Time(t) = one year = 1

Amount at 6% interest = 2x(1 + 0.06) = $2.12x

Interest accumulated = Amount - Principal = $2.12x - $2x = $0.12x

Amount at 9% interest = x(1 + 0.09) = $1.09x

Interest accumulated = Amount - Principal = $1.09x - $x = $0.09x

Total interest = $7,266

So, $0.12x + $0.09x = $7,266

$0.21x = $7,266

x = [tex]\frac{7,266}{0.21}[/tex] = $34,600

The principal (amount invested) at 9 percent interest rate is $34,600

The principal (amount invested) at 6 percent interest rate is 2 × $34,600 = $69,200

the answer is c

hope this would help you

Answer:

[tex]y=-2x^2 -16x -28[/tex]

Step-by-step explanation:

We are given with the graph of a parabola

[tex]y=-2x^2 + 3x -5[/tex]

a=-2, b=3 and c=-5

Discriminant = [tex]b^2-4ac= 3^2 -4(-2)(-5)= 9-40= -31[/tex]

Discriminant is negative so x intercepts are imaginary.

In the graph we have two x intercepts.

[tex]y=-2x^2 -4x -2[/tex]

a=-2, b=-4 and c=-2

Discriminant = [tex]b^2-4ac= (-4)^2 -4(-2)(-2)=0[/tex]

Discriminant is 0 so there is only one x intercept

[tex]y=-2x^2 -16x -28[/tex]

a=-2, b=-16 and c=-28

Discriminant = [tex]b^2-4ac= (-16)^2 -4(-2)(-28)=32[/tex]

Discriminant is positive so there  are two x intercepts

[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a} =\frac{16+-\sqrt{32} }{2(-2)}[/tex]

We will get two values for x

x= -5.414  , x=-2.586

Two x intercepts are negative . That is the x intercepts of given graph.

[tex]y=-2x^2 +16x -28[/tex]

a=-2, b=16 and c=-28

Discriminant = [tex]b^2-4ac= (16)^2 -4(-2)(-28)=32[/tex]

Discriminant is positive so there  are two x intercepts

ANSWER

The vertex of g(x) is (2,-5).

EXPLANATION

The given function is:

[tex]g(x) = 3 {x}^{2} - 12x + 7[/tex]

The vertex form of this function is:

[tex]g(x) = 3 {(x - 2)}^{2} -5[/tex]

This is of the form

[tex]g(x) = a {(x - h)}^{2} + k[/tex]

where (h,k) is the vertex.

When we to

[tex]g(x) = 3 {(x - 2)}^{2} -5[/tex]

h=2 and k=-5

The vertex of the parabola is (2,-5).

Answer:

h = 3πx

Step-by-step explanation:

The volume (V) of the cylinder is calculated using the formula

V = πr²h ( r is the radius and h the height )

V = π × x² × 3x = 3πx³

The volume of the cuboid therefore has volume of 3πx³, that is

x × x × h = 3πx³

x²h = 3πx³ ( divide both sides by x² )

h = 3πx³ ÷ x² = 3πx

Answer:

False

Step-by-step explanation:

The distance between two points is found by

d = sqrt((y2-y1)^2 + (x2-x1)^2)

  = sqrt( (4-7)^2 + (6-2)^2)

  =sqrt( 3^2 +4^2)

  = sqrt(9+16)

  =sqrt(25)

  = 5

Answer:

False

Step-by-step explanation:

Because....

* Hopefully this helps:) Mark me the brainliest:)!!!

∞ 234483279c20∞

30 seconds/per burger

Answer:

30 seconds

Step-by-step explanation:

4 burgers in 2 mins

1 burger

= 2 ÷ 4

= 0.5 min

= 30 seconds

Answer:

hello : x = - 4 or x = - 8

Step-by-step explanation:

x²+12x+32=0​

(x² +2(6)(x) +6²) - 6² +32 = 0....by completing the square

(x + 6 )²- 2² = 0

(x+6-2)(x+6+2)=0 by idetity : a² - b² = (a - b ) ( a + b )

(x+4)(x+8) =0

x+4=0 or x+8= 0

x = - 4 or x = - 8

Answer:

x = - 8, x = - 4

Step-by-step explanation:

Given

x² + 12x + 32 = 0 ( subtract 32 from both sides )

x² + 12x = - 32

To complete the square

add (half the coefficient of the x- term)² to both sides

x² + 2(6)x + 6² = - 32 + 6²

(x + 6)² = - 32 + 36 = 4

Take the square root of both sides

x + 6 = ± 2 ( subtract 6 from both sides )

x = - 6 ± 2

Hence

x = - 6 - 2 = - 8

x = - 6 + 2 = - 4

Answer:

x =  0.35   or x = -11.35

Step-by-step explanation:

Points to remember

Solution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

It is given that,  x² = –11x + 4

x² + 11x - 4 = 0

To find the solution

Here a = 1, b = 11 and c = -4

x = [-b ± √(b² - 4ac)]/2a

x = [-11 ± √(11² - 4 * 1 * (-4))]/2*1

 =  [-11 ± √(121 + 16)]2

 = [-11 ± √137]/2

 = [-11 ± 11.70]/2

x = -11 + 11.70  or x = -11 - 11.70

x =  0.35   or x = -11.35

Final answer:

The expression (3x²y³) ³ is found by cubing the coefficient and multiplying each variable's exponent by 3, which results in 27x⁶y⁹.

Explanation:

When we deal with the cubing of exponentials, as in the expression (3x²y³) ³, both the numerical coefficient and the variables with their exponents are raised to the power of 3. The rules of exponents guide us to cube the number 3 and multiply the exponents of x and y by 3.

To cube the number 3, we would calculate 3³, which equals 27. For the variables, we apply the exponent to each exponent: x raised to the 2³ (which is 6) and y raised to the 3³ (which is 9). Hence, the expression (3x²y³) ³ simplifies to 27x⁶y⁹. This demonstrates that when cubing an exponential expression, we obtain a new exponent for each variable by multiplying the original exponent by 3, and we cube the numerical coefficient as well.