What number is 65% of 620?​

Answer:

y = -(x - 2)^2.

Step-by-step explanation:

Vertex form is a(x - b)^2 + c   where  a is a constant and (b, c) is the vertex.

Here b = 2 and c = 0

So we have:

y = a( x - 2)^2 + 0

When x = 4 y = -4 so:

-4 = a( 4 - 2)^2

a = -4/2^2 = -1

So the required equation is

y = -(x - 2)^2.

Answer:

[tex] \boxed{\sf Length \ of \ the \ rectangle = 16 \ in} [/tex]

Given:

Perimeter of rectangle = 48 in

Length = Twice the width

To Find:

Length of the rectangle

Step-by-step explanation:

Let width of the rectangle be 'w'.

So,

Length of the rectangle = 2w

[tex]\sf \implies Perimeter \ of \ rectangle = 2(Length + Width \\ \\ \sf \implies 48 = 2(2w + w) \\ \\ \sf \implies 48 = 2(3w) \\ \\ \sf \implies 48 = 6w \\ \\ \sf \implies 6w = 48 \\ \\ \sf \implies \frac{ \cancel{6}w}{ \cancel{6}} = \frac{48}{6} \\ \\ \sf \implies w = \frac{48}{6} \\ \\ \sf \implies w = \frac{8 \times \cancel{6}}{ \cancel{6}} \\ \\ \sf \implies w = 8 \: in[/tex]

Width of the rectangle (w) = 8 in

Length of the rectangle = 2w

= 2 × 8

= 16 in

Answer:

13/t

Step-by-step explanation:

you add the numerators, because the denominators are the same variable.

Answer:

-270

Step-by-step explanation:

Here, we want to know the coefficient of the fourth term.

The coefficients according to pascal triangle for the expansion is 1 5 10 10 5 1

So the expansion looks as follows;

1[(-x)^5(-3)^0] + 5[(-x)^4(-3)^1)] + 10[(-x)^3(-3)^2) + 10[(-x)^2(-3)^3] + ...........

So the fourth term we are dealing with is

10[(-x)^2(-3)^3)]

So the value here is

10 * x^2 * -27

= -270 x^2

So the coefficient is -270

Answer:

Step-by-step explanation:

We can make use of the identities ...

  [tex]\cos{\alpha}-\cos{\beta}=-2\sin{\dfrac{\alpha+\beta}{2}}\sin{\dfrac{\alpha-\beta}{2}}\\\\\sin{\alpha}+\sin{\beta}=2\sin{\dfrac{\alpha+\beta}{2}}\cos{\dfrac{\alpha-\beta}{2}}[/tex]

These let us rewrite the equation as ...

  [tex]0=\cos{\theta}-\cos{2\theta}+\cos{3\theta}-\cos{4\theta}\\\\0=-2\sin{\dfrac{\theta+2\theta}{2}}\sin{\dfrac{\theta-2\theta}{2}}-2\sin{\dfrac{3\theta+4\theta}{2}}\sin{\dfrac{3\theta-4\theta}{2}}\\\\0=2\sin{\dfrac{\theta}{2}}\left(\sin{\dfrac{3\theta}{2}}+\sin{\dfrac{7\theta}{2}}\right)\\\\0=4\sin{\dfrac{\theta}{2}}\sin{\dfrac{3\theta+7\theta}{4}}\cos{\dfrac{3\theta-7\theta}{4}}\\\\0=4\sin{\dfrac{\theta}{2}}\sin{\dfrac{5\theta}{2}}\cos{\theta}[/tex]

The solutions are the values of θ that make the factors zero. That is, ...

  θ = 2πk . . . . for any integer k

  θ = (2/5)πk . . . . for any integer k (includes the above cases)

  θ = π(k +1/2) . . . . for any integer k

Answer:

v=11/5 or v=2.2

Step-by-step explanation:

The wording of this question is a little confusing but if it says what I think it does (5/3v+4=8-1/3) then this is the answer.

Answer:

A. 8.9x + 1.66

Step-by-step explanation:

5.3x - 8.14 + 3.6x + 9.8 =

= 5.3x + 3.6x - 8.14 + 9.8

= 8.9x + 1.66

Answer: A. 8.9x + 1.66

Answer:

I'll make the answer short.

Step-by-step explanation:

It's (A) 8.9x + 1.66

5.3x − 8.14 + 3.6x + 9.8

group the numbers on one side and the x's on the other

5.3x + 3.6x - 8.14 + 9.8

solve

8.9x +  1.66

So the answer (A)

Answer:

We have 2 rational solutions

0 irrational solutions

0 complex solutions

Step-by-step explanation:

a^2 + 8a + 12 = 0

Using the discriminant

b^2 -4ac where ax^2 + bx+ c

so a =1  b = 8 and c = 12

8^2 -4(1)*12

64 - 48

16

Since the discriminant is greater than 0, we have 2 real solutions

since we can take the square root of 16, we have rational solutions

We have 2 rational solutions

Since this is a quadratic equations, there are only 2 solutions so there are

0 irrational solutions

0 complex solutions

Answer:

2 Rational Solutions

0 Irrational Solutions

0 Complex Solutions

Step-by-step explanation:

The discriminant of the quadratic formula is the name given to the portion underneath the radical (or the square root)"

[tex]x = \frac{1}{2} (-b\frac{ + }{ - } \sqrt{ {b}^{2} - 4ac })[/tex]

Discriminant = D = b²-4ac

If D is less than 0 you have two complex solutions.

If D is equal to 0 you'll have one real solution.

If D is bigger than 0 you'll get two real solutions.

So here we have:

a=1

b=8

c=12

Which means D=64-4(1)(12)=64-48=16>0

D is bigger than 0, so you'll have two real solutions. And since 16 is a perfect square, they'll both be rational numbers.

Answer:

98

Step-by-step explanation:

3 bed house= 33 rooms

4 bed house 40 rooms

4 bed house 25 rooms

each house is worth 2 houses. so u double everything

hope I got it right

Answer:

x^2-4x+y^2+6y-108=0

Step-by-step explanation:

[tex]The- equation- of- circle- with -center- at- (h,k) -and -a -radius- of- r -is: \\(x-h)^2 +(y-k)^2 = r^2\\h = 2 , \\ k = -3\\r = 11\\(x-2)^2+(y-(-3))^2 = 11^2\\(x-2)^2+(y+3)^2 = 121\\x^2-4x+4 +y^2+6y+9 = 121\\x^2 -4x+y^2+6y+4+9=121\\x^2 -4x+y^2+6y+13=121\\x^2 -4x+y^2+6y=121-13\\x^2 -4x+y^2+6y= 108\\x^2 -4x+y^2+6y-108 = 0[/tex]

Responda:

Explicação passo a passo:

Dê = n a equação 5x + 5 = 4x - 2, para mostrar que x = -7 é a solução, as seguintes etapas devem ser seguidas.

Etapa 1: Subtraia 5 de ambos os lados da equação

5x + 5 - 5 = 4x - 2 - 5

5x = 4x - 7

Etapa 2: Subtraia 4x de ambos os lados da equação resultante

5x = 4x - 7

5x - 4x = 4x - 7 - 4x

x = -7

Isso prova que a solução é x = -7

b) Para mostrar que 5 não é a solução, substituiremos x = 5 em ambos os lados da equação e verificaremos se são iguais ou não. Se eles não são iguais, significa que 5 não é uma solução.

Para o lado direito da equação, ou seja, 5x + 5

f (5) = 5 (5) + 5

f (5) = 25 + 5

f (5) = 30

Para o lado esquerdo da equação, ou seja, 4x-2

f (5) = 4 (5) - 2

f (5) = 20-2

f (5) = 18

Como os dois valores não são os mesmos, [tex]30\neq 18[/tex] ou seja, isso mostra que 5 não é uma solução

Answer:

The circumference of circle is 14π cm.

Step-by-step explanation:

Given that the formula of circumference is C = 2×π×r where r represents radius of circle. In this case, diameter of circle is 14cm so the radius will be 7cm. Then, you have to substitute the value into the formula :

[tex]c = 2 \times \pi \times r[/tex]

[tex]let \: r = 7[/tex]

[tex]c = 2 \times \pi \times 7[/tex]

[tex]c = 14\pi \: \: cm[/tex]

Answer:

14[tex]\pi[/tex]

units = cm

Step-by-step explanation:

circumference = 2 x [tex]\pi[/tex] x r

c = 2 x [tex]\pi[/tex] x 7   - it's 7 because the diameter is 14 and radius is half the diameter

c = 14 x [tex]\pi[/tex]

c = 43.98229715

in terms of pi c = 14 [tex]\pi[/tex]

units = cm

Answer:

Malik substituted 60 for y instead of x.

Step-by-step explanation:

According to the given situation the computation of error that Malik make first when solving the equation is shown below:-

First, we will find the value of x

[tex]\frac{2}{5} x - 4(60) = 10[/tex]

[tex]\frac{2}{5} x = 10 + 240[/tex]

[tex]\frac{2}{5} x = 250[/tex]

x = 625

Now, we have

[tex]\frac{2}{5} x - 4 y = 10[/tex]

we will solve the above equation, to find the value of y

24 - 4y = 10

4y = 24 - 10

4y = 14

[tex]y = \frac{14}{4}[/tex]

[tex]y = \frac{7}{2}[/tex]

So, from the above calculation, the correct option is

Malik substituted 60 for y instead of x.

Answer:

D on EDGE

Step-by-step explanation:

Answer:

8 cm apart

Step-by-step explanation:

First, let's consider our unit rate.

1 cm = 50 km

Next, divide 400 km (the distance between two cities) by 50 (the unit rate).

400/50 = 8 km

There you go! The two cities are 8 km apart!

Hope this helps you and maybe earns a brainliest!!

Bye!

If two cities are 400 km apart. Then the length of distance between the cities on this map will be 8cm.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The scale on a map indicates that 1 cm represents 50 km.

Then the scale factor will be 1/50.

If two cities are 400 km apart.

Then the length of distance between the cities on this map will be

⇒ 400 x (1/50)

⇒ 8 cm

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ2

Answer:

See below.

Step-by-step explanation:

Try each ordered pair in the equation. Each ordered pair is of the form (x, y). Replace x and y in the equation by values of x and y, respectively, in each ordered pair. Whichever ordered pair makes the equation a true statement is the answer.

For example:

Try (2, 3):

2x + 3y = 10

2(2) + 3(3) = 10

4 + 9 = 10

13 = 10

Since 13 = 10 is a false statement, (2, 3) is not a solution.

Try (2, 2):

2x + 3y = 10

2(2) + 3(2) = 10

4 + 6 = 10

10 = 10

Since 10 = 10 is a true statement, (2, 2) is a solution.

Step-by-step explanation:

sin 46°= a/12.8

a = sin46° * 12.8 = 9.20

cos59°=b/16.8

b = cos59°*16.8 = 8.65

Answer:

Step-by-step explanation:

First Question

To find a we use sine

sin ∅ = opposite / hypotenuse

a is the opposite

12.8 is the hypotenuse

sin 46 = a / 12.8

a = 12.8 sin 46

Second question

To find b we use cosine

cos∅ = adjacent / hypotenuse

b is the adjacent

16.8 is the hypotenuse

cos 59 = b / 16.8

b = 16.8 cos 59

Hope this helps you

Answer:

ABC≅DEF ASA POSTULATE

There must be two angles and one side of ABC congruent to DEF

Step-by-step explanation:

Answer:

BC=EF

Step-by-step explanation:

Process of elimination and I just took the test so trust me.

Answer:

The constant of proportionality in the inverse variation is -3000

Step-by-step explanation:

Given that the initial value of the car was X, after owning the car for 3 years the value is $15,000 and the value after 5 years was $9,000 we have;

At  year 3, value of car = $15,000

At year 5, value of car = $9,000

Rate of change of car value with time = Constant of proportionality

Rate of change of car value with time = (15000 - 9000)/(3 - 5) = -3000

The constant of proportionality = -3000

Therefore;

y - 15000 = -3000 × (x - 3)

y = -3000x + 9000 + 15000 = -3000·x + 24000  

The value of the car, y with time,x is, y = -3000·x + 24000

Answer:

7.8 cm

Step-by-step explanation:

Let's find the volume of the water bottle first. The radius is 5.5/2 = 2.75 cm

V = πr²h = 3.14 * 2.75² * 20 = 474.925 cm³

If we call the minimum side length of the cube as x we can write:

x³ = 474.925 because the volume of the cube is x * x * x = x³

x ≈ 8 cm

Answer:

61°

Step-by-step explanation:

Given:

∆MNO,

Side MO (n) = 18

MN (o) = 6

m<O = 17°

Required:

m<N

Solution:

Using the sine rule, [tex] \frac{sin N}{n} = \frac{sin O}{o} [/tex] , solve for N.

Plug in the values of M, n, and m

[tex] \frac{sin N}{18} = \frac{sin 17}{6} [/tex]

Cross multiply

[tex] 6*sin(N) = sin(17)*18 [/tex]

[tex] 6*sin(N) = 0.292*18 [/tex]

Divide both sides by 6

[tex] \frac{6*sin N}{6} = \frac{0.292*18}{6} [/tex]

[tex] sin N = \frac{0.292*18}{6} [/tex]

[tex] sin N = \frac{5.256}{6} [/tex]

[tex] sin N = 0.876 [/tex]

[tex] N = sin^-1(0.876) [/tex]

[tex] N = 61.16 [/tex]

m<N ≈ 61°

Answer:

[tex]\boxed{-3}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation is determined by the constant equation [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept of the line.

Therefore, we can use the equation given and implement it to find your slope.

[tex]y=-3x[/tex]

Our equation does not have a y-intercept, [tex]b[/tex]. Therefore, it can just be inferred as [tex]+0[/tex].

Because we do have a [tex]m[/tex], we can then find out what our slope is: [tex]\boxed{-3}[/tex].

Answer:

1286 meters long

Step-by-step explanation:

421,808 divided by the width of the plot gives you 1,286 meters for the width.

Answer:

B) (2,0) and (0,-4)

Step-by-step explanation:

The answer to the system of equations is where the two intersect on the graph, in this case on the points (2,0) and (0,-4)

Answer:

Hi, the Answer is 0.75.

Step-by-step explanation:

it is 0.75 because if you look on the graph, and you calculate the 3/4 slope between the two, 3/4= 0.75

Answer:

A) 0.75 meters per hour

Step-by-step explanation:

Answer:

BA=BC

Step-by-step explanation:

Answer:

Side F G and Side I H

Step-by-step explanation:

No picture attached but from the description, we got:

Trapezoid F G H I

F G ║I H  

Which sides of the trapezoid are parallel?

Answer:

the top answer is correct

Step-by-step explanation:

A diameter splits a circle in half and has an arc measure of 180 degrees

WZ = 180

You are given WX = 32

So ZWX = 180 + 32 = 212

The answer is 212

Answer:

B. 212

Step-by-step explanation:

An arc degree is the same as its corresponding angle degree. So we need to find m∠ZWX:

m∠WCR = 148° because of Supplementary Angles

m∠ZCR = m∠XCW = 32° because of Vertical Angles Theorem

m∠ZWX = m∠WCR + m∠ZCR + m∠XCW = 212°

Since our angle measure is 212°, our arc degree measure is also 212°