78.4 divided by 0.56

9514 1404 393

Answer:

  x -3y = 4

Step-by-step explanation:

A plot of the points reveals the longer diagonal to be BD. (Also, point C is on that line.)

We can write the standard form equation of the line through (x1, y1) and (x2, y2) as ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1

For points (-2, -2) and (16, 4), this equation is ...

  (4 -(-2))x -(16 -(-2))y = (4 -(-2))(-2) -(16 -(-2))(-2)

  6x -18y = -12 +36

Dividing by the greatest common factor (6), we have the standard-form equation ...

  x -3y = 4

Answer:

[tex]{ \tt{line : x = 2y + 5}} \\ { \tt{circle : {x}^{2} + {y}^{2} = 5}} \\ substitute \: line \: in \: circle \\ { \tt{ {(2y + 5)}^{2} + {y}^{2} = 5 }} \\ { \tt{4 {y}^{2} + 20y + 25 + {y}^{2} = 5}} \\ { \tt{5 {y}^{2} + 20y + 20 = 0 }} \\ { \tt{ {y}^{2} + 4y + 4 = 0 }} \\ y = - 2 \\ x = 2( - 2) + 5 = 1 \\ { \tt{centre = ( - 1, \: 2)}} \\ { \tt{radius = 5 \: units}} \\ hence \: proved[/tex]

Answer:

radius 5

centre -1,2

Step-by-step explanation:

Answer:

0.30(5)

the 5 is repeating

Step-by-step explanation:

calculator

Step-by-step explanation:

Let x be the number

6+4x=42

4x=36

x=9

!!!!!!!

Answer:

Step-by-step explanation:

in a parallelogram diagonals bisect each other.

so mid points are same.

Let coordinates of D be (x,y)

mid point of AC=midpoint Of BD

(-2+5)/2=(x+3)/2

x+3=-3

x=-3-3=-6

x=-6

(3-3)/2=(2+y)/2

y+2=0

y=-2

so D is (-6,-2)

Answer:

-2

Step-by-step explanation:

1. reduce the numbers by taking out the greatest common factor which is 9.

2. taking out 9 leaves you with [tex]-8[/tex] multipied by 1/4

Answer:

-2

Step-by-step explanation:

[tex](-\frac{8}{9} )[/tex] ÷[tex](\frac{4}{9})[/tex]

changing division sign to multiplication and doing reciprocal

[tex]-\frac{8}{9}*\frac{9}{4}[/tex]

9 and 9 gets cancel so,

[tex]-\frac{8}{4}[/tex]

4 divides 8 exactly by 2 and keep minus sign as it is

-2

Answer:

Step-by-step explanation:

VOLUME...

1) π*r^2*h

π*(2.5)^2 *h

(π)*(2.5)^2* 6

= 117.8

2) π*r^2*h + 1/2 *[(4/3) · π · r3]

(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]

         84.8+ 56.5 = 141.41

3) (1/3) π*r^2*h

(1/3) π*3^2*h

3^2 + h^2 = 36

h = sqrt(27) = 5.1

(1/3) π*3^2*5.1

= 48.06

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Height of 1/2 of glass #2

84.8+ 56.5 = 141.41

thus 1/2 of #2 = 70.5

70.5 - 56.6 = 14 (all of 1/2 sphere filled plus 14 into cylinder)

14/[(π)*(3)^2* 3]= .16 of the cylinder... 3*(0.16) =   .48

total height = 3.48

Answer:

[tex]-\frac{17}{15}[/tex]

Step-by-step explanation:

By definition, [tex]\cot \theta=\frac{1}{\tan \theta}[/tex] and [tex]\sec \theta=\frac{1}{\cos \theta}[/tex]. Since since [tex]\cot \theta[/tex] is negative, [tex]\tan \theta[/tex] must also be negative, and since [tex]\sin \theta[/tex] is positive, we must be in Quadrant II.

In a right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. The cosine of an angle in a right triangle is equal to its adjacent side divided by the hypotenuse. Therefore, we can draw a right triangle in Quadrant II, where the opposite side to angle theta is 8 and the hypotenuse of the triangle is 17.

To find the remaining leg, use to the Pythagorean Theorem, where [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side, of the right triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the right triangle.

Solving, we get:

[tex]8^2+b^2=17^2,\\b^2=17^2-8^2,\\b^2=\sqrt{17^2-8^2}=\sqrt{225}=15[/tex]

Since all values of cosine theta are negative in Quadrant II, all values of secant theta must also be negative in Quadrant II.

Thus, we have:

[tex]\sec\theta=\frac{1}{\cos \theta}=-\frac{1}{\frac{15}{17}}=\boxed{-\frac{17}{15}}[/tex]

Answer:

2 is the base

Step-by-step explanation:

2^3

2 is the base and 3 is the exponent

Given:

The functions are:

[tex]f(x)=-4x^2-6x-1[/tex]

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

To find:

The function [tex](f-g)(x)[/tex].

Solution:

We have,

[tex]f(x)=-4x^2-6x-1[/tex]

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

We know that,

[tex](f-g)(x)=f(x)-g(x)[/tex]

[tex](f-g)(x)=(-4x^2-6x-1)-(-x^2-5x+3)[/tex]

[tex](f-g)(x)=-4x^2-6x-1+x^2+5x-3[/tex]

Combining like terms, we get

[tex](f-g)(x)=(-4x^2+x^2)+(-6x+5x)+(-1-3)[/tex]

[tex](f-g)(x)=-3x^2+(-x)+(-4)[/tex]

[tex](f-g)(x)=-3x^2-x-4[/tex]

Therefore, the required function is [tex](f-g)(x)=-3x^2-x-4[/tex].

Answer:

<d = 25 degrees and <e = 130 degrees

Step-by-step explanation:

We have a vertical angle, so the opposite sides of this angle are the same. This means that the angle opposite to 25 degrees also measures 25 degrees. We have one angle of the triangle. Since the triangle is isosceles, the angle d is the same as 25 degrees.

<d = 25 degrees

The interior angles of a triangle add up to 180 degrees, and we now have 2 angles, so:

<e = 180 - 25 - d

<e = 155-25

<e = 130 degrees

Answer:

<d = 25 degree and <e = 130 degree

Step-by-step explanation:

Let <d, <e and <f be the respective angles

<f = 25 degree (Vertically opposite angles are equal)

side fe = side ed (given)

Therefore, <f = <d (angles opposite to equal sides are equal)

Therefore, <d = 25 degree

<d + <e + <f = 180 degrees (Angle sum property)

25 + 25 + <e = 180

50 + <e = 180

<e = 180 - 50

<e = 130 degree

Therefore, <d = 25 degree and <e = 130 degree

Hope u understood

Please mark as brainliest

Thank You

Answer:

C

Step-by-step explanation:

the domain is for which values of x is that function defined (is that a valid function).

the range is what values that function can produce based on all the different x-values as input.

so, checking option A

that means all x values are negative.

that means all values inside the square root are negative.

the resulting function values are a discussion class of numbers and not part of the interval of (0, infinity).

so, it cannot be A.

checking option B

the domain range includes the value 6 for x.

but that would make this function for x=6 an invalid expression of 1/0

so, it cannot be B.

checking option C

the value range for x (domain) is x>6 (and excluding x=6).

and the result range is all positive numbers including 0.

there is no violation of any function principle.

the answer is C.

checking option D

similar to C, but the result range is defined as all numbers, negative and positive.

but for the domain the function can never produce negative numbers.

so, it is not D.

Answer:

(7/5, 39/5)

Step-by-step explanation:

you could use this formula:

(m₁x₂ + m₂x₁ / m₂+m₁ ,  m₂y₂ + m₂y₁ / m₂+m₁)

where m₁ = 3 (from the ratio)

m₂ = 2 (from the ratio)

x₁ = -1

x₂ = 3

y₁ = 6

y₂ = 9

= [3(3) + 2(-1) / (3+2)], [3(9) + 2(6) / (3+2)]  

= (9-2) / 5, (27+12) / 5

= (7/5, 39/5)

Answer:

(5,20)

Step-by-step explanation:

Looking at the pair, we can see that the value of y is simply the value of x multiplied by 4

so we have to multiply the value of x by 4 to get the value for y

So any of the options we can see this proportional relationship is correct

Looking at the options, we can see the third option. (5,20)

20/5 is 4 which makes the option correct

Answer:

Step-by-step explanation:

Answer:

1/9th

Step-by-Step Explanation:

The area is measured in units squared, then you have to square 1/3 which is 19th.

Answer:

1/9

Step-by-step explanation: i think so

Answer:

x = 30

Step-by-step explanation:

I'm going to assume the equation you needed help with was:

[tex]\frac{1}{2}(x+6) = 18[/tex]

If not, let me know and I'll redo it.

[tex]\frac{1}{2} x+3 = 18\\\frac{1}{2} x = 15\\x = 30[/tex]

Answer:

D

Step-by-step explanation:

When taking an esponent to an exponent multiply them

4 ^(1/3)^3 = 4^1 = 4

Answer:

130º

Step-by-step explanation:

it seems like this would make a circle which adds up to 360º so first add the two numbers (150+80=230) then subtract from the amount it should be (360-230=130)

Answer:

126cm²

Step-by-step explanation:

first divide the figure into two( rectangle and a triangle)

area of a rectangle=length x width

16cmx7xcm

112xcm²

area of a triangle=1/2base x height

1/2x7cmx(20-16)cm

1/2x7cmx(4)cm

14cm²

total area of the figure=area of rectangle+area of triangle

=112cm²+14cm²

=126cm²

hope this is helpful

Answer:

cos2x=sinx

<=> 1-2sin^{2}x =sinx

solve and we have x=3pie/2, x=pie/6,x= 5pie/6

Step-by-step explanation:

Answer:

x=  12

Step-by-step explana

2x = 20 +  4

2x=  24

x= 2 4/2

x= 12

Step-by-step explanation:

In the second step while opening the bracket, instead of 'a', there should be - 4a.

Answer:

From Step 2 every step is wrong

Step-by-step explanation:

Ste p 1 : 3a - 5b = 12 - 4(b + a)

Step 2 : 3a - 5b = 12 - 4b - 4a      [ Last term instead - 4a she\he wrote + a ]

Step 3 : 7a  - 5b = 12 - 4b

Step 4 : 7a = 12 + b

[tex]Step 5 : a = \frac{12 + b}{7}[/tex]

Answer:

Fifty - one billion two hundred one thousand seventy eight

- Let me know if you have any questions regarding my answer :)

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

[tex]\boxed{51,000,201,078}[/tex]

⟹ Fifty one billion two hundred and one thousand seventy eight.

⁺˚*･༓☾✧.* ☽༓･*˚⁺‧

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

B

Step-by-step explanation:

- y = 7 , that is y = - 7

Is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of - 7

Answer:

bottom right and the middle one from the left

Answer:

c

Step-by-step explanation:

Area of triangle = 1/2 bh

60 = 1/2 (15) h

8 = h

Quadrilateral area = h x (b1 + b2)/2 = 8 x (15+9)/2 = 96 sq units

96 -60 = triangle BAD area = 36 sq units

The length of side BC in the triangle BCD is 8.

An area is the amount of space occupied by a two dimensional shape or figure.

From the diagram:

Area of triangle BCD = (1/2) * base * height = (1/2) * CD * BC

60 = (1/2) * 15 * BC

BC = 8

The length of side BC in the triangle BCD is 8.

Find out more on area at: https://brainly.com/question/25292087