Factor 60 y − 90 − 20 x 60y−90−20x60, y, minus, 90, minus, 20, x to identify the equivalent expressions. Choose 2 answers: Choose 2 answers: (Choice A) A 5 ( 14 y − 16 − 4 x ) 5(14y−16−4x)5, left parenthesis, 14, y, minus, 16, minus, 4, x, right parenthesis (Choice B) B 2 ( 30 − 45 − 10 ) 2(30−45−10)2, left parenthesis, 30, minus, 45, minus, 10, right parenthesis (Choice C) C 5 ( 12 y − 18 − 4 x ) 5(12y−18−4x)5, left parenthesis, 12, y, minus, 18, minus, 4, x, right parenthesis (Choice D) D 10 ( 6 y − 9 − 2 x ) 10(6y−9−2x)

Answer:

m∠1 = 90°

m∠2 = 55°

Step-by-step explanation:

1. m∠1 = 90° because by definition, the diagonals of a rhombus are perpendicular, or intersect at 90°.

2. Because of vertical angles, the angle opposite of ∠1 is also 90°. A triangle has a total of 180°.

m∠2 + 90 + 35 = 180

90 + 35 = 125

m∠2 + 125 = 180

subtract 125 from both sides to solve for m∠2

m∠2 = 55°

Answer:

2/3

Step-by-step explanation:

f(x)=g(x)

-3x+4=2

Add 3x

3x+2=4

subtract 2

3x=2

divide by 3

x=2/3

Answer:

x= 2/3

Step-by-step explanation:

The value where f(x) = g(x) is where the two functions intersect

That would be at

f(x) = g(x)

-3x +4 = 2

Subtract 2 from each side

-3x = -2

x = 2/3

We know the y value.  Substitute x into the equation

g(2/3) = 2

y = 2

The point is (2/3,2)

Answer:

A.

Step-by-step explanation:

Diameter = 4.4 cm

Radius = 2.2 cm

Now

Area of the circle = πr²

= (3.14)(2.2)²

= (3.14)(4.84)

= 15.1976 cm²

Answer:

A.

Step-by-step explanation:

D=4.4, therefore, the Radius is equal to 2.2, half of the diameter.

The formula for Area:

A=pir^2.

A=(3.14)(2.2)^2

A=(3.14)(4.84)

A=15.1976

A=15.1976, which is identical to option A.

Answer:

Step-by-step explanation:

there is no soltion because it is not intersects

Answer:

No solution as it will not intersect.

Answer:

Area is 113.097

Step-by-step explanation:

Answer:

113.10 ft²

Step-by-step explanation:

Area of the circle is equal to πr².

Where r is the radius. The radius of the circle is 6 feet.

π(6)²

36π = 113.097336

The area of the circle is 113.10 ft² approximately.

Answer:

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

7-24-25

7² + 24² = 25²

49 + 576 = 625

625 = 625

9-40-41

9² + 40² = 41²

81 + 1600 = 1681

1681 = 1681

Answer: See Explanation

Step-by-step explanation:

Pythagoras' theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].

So [tex]7^{2}[/tex] (49) + [tex]24^{2}[/tex] (576) = [tex]25^{2}[/tex] (625)

Same goes for the other one. It is always the smallest number squared (smallest side of triangle) + the middle number squared (middle length side of triangle, = the biggest side/number squared.

Answer:

A. 7

Step-by-step explanation:

7= 1*7

8= 1*8= 2*4

9= 1*9= 3*3

10= 1*10= 2*5

Answer:

Step-by-step explanation:

[tex]f(x) =x^2[/tex] is, in vertex form,

[tex]f(x)=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). It is positive because it opens upwards.

g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is

[tex]g(x)=-x^2-4[/tex], choice D in your list.

Answer:

D

Step-by-step explanation:

The opposite side of function f(x) is g(x). So -x².

The y-intercept is -4.

- x² - 4

Answer:

g(1) = 1.8696

g(2) = 1.8662

Step-by-step explanation:

Simply plug in the x values into the equation in a calc and you should get your answer.

Answer:

A & D

Step-by-step explanation:

=> 3x²+2x-5 = 0

=> Using Mid-term Break Formula

=> 3x²-3x+5x-5 = 0

=> 3x(x-1)+5(x-1) = 0

=> (3x+5)(x-1) = 0

Either,

3x+5 = 0    OR   x-1 = 0

x = [tex]-\frac{5}{3}[/tex]        OR    x = 1

Answer:   x = 1       and        x = 5/3

Step-by-step explanation:

Answer:

[tex]10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\[/tex]

Step-by-step explanation:

[tex](2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\[/tex]

Hope this helps!

Answer:

(2√7 + 3√6) x (5√2 + 4√3)

Multiply the parentheses

= 10√14 + 8√21 + 15√12 + 12√18

= 10√14 + 8√21 + 30√3 + 12√18

Answer:

The required probability is:

[tex]\dfrac{1}{9}[/tex]

Step-by-step explanation:

It is given that Emma has two fair dice.

To win, she needs to score 5 using both dice.

Cases, where she can have 5:

{(1,4), (4,1), (2,3), (3,2)}

Let the event be A that she gets a score = 5

Total number of favorable cases, n(A) = 4

Total number of cases for throw of 2 dice, n(S) = 36

These are:

{

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

}

Formula for probability of an event E  is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

or

[tex]P(E) = \dfrac{\text{n(E)}}{\text {n(S)}}[/tex]

Using the above formula, the required probability:

[tex]P(A) = \dfrac{\text{n(A)}}{\text {n(S)}}\\\Rightarrow \dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]

So, the required probability is [tex]\dfrac{1}{9}[/tex].

Answer:

B (10, 5)

Step-by-step explanation:

We simply set the midpoint equal to each of its respective variable equation in [tex]m = (\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]

Step 1: Solve x

4 = (-2 + x)/2

8 = -2 + x

x = 10

Step 2: Solve y

3 = (1 + y)/2

6 = 1 + y

y = 5

Put it in coordinates and we have our final answer!

Answer:

B(10,5)

Step-by-step explanation:

You already have A and M so you just find the difference and add it to M.  That is my way of getting the answer.  I am taking the Honors Geometry class in 6th grade.  

Answer:

12 ft² :)

Step-by-step explanation:

Area of a parallelogram = base * height

4 * 3 = 12

Area of the parallelogram = 12 ft²

Answer:

Solution,

[tex]f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114[/tex]

hope this helps.

Good luck on your assignment..

Answer:

-114

Step-by-step explanation:

To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.

f(x) = -4x + 5x

f(6) = -4(6) + 5(6)

f(6) = -4(36) + 30

f(6) = -144 + 30

f(6) = -114

The answer is -114.

Answer:

There are 640 pigs after 5 years.

Step-by-step explanation:

if it doubles each year the first year it doubles it is 40 then the second 80 third 160 fourth 320 and fifth 640.

graph it by having the X axis the years and the Y axis do it by 40s

Answer:

i hope this helps and its clear !

Answer: no it’s not

Step-by-step explanation:

it’s a square

Answer:

5

Step-by-step explanation:

Answer:

432 cm²

Step-by-step explanation:

To find the surface area of a cuboid, there is a formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

Multiply all the terms.

336+96

Add both the terms.

= 432

The surface area of the open cuboid is 432cm².

Answer:

432 cm²

Step-by-step explanation:

The formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

336+96

= 432

The surface area of the open cuboid is 432cm²

Answer:

1

Step-by-step explanation:

8:8=1

Answer:

8:8 simplified is 1:1 or just 1 for short.

Answer:

45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.

Step-by-step explanation:

Let t be the people who prefer tea, and let c be the people who prefer coffee.

The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products  give us 5t=9c.

Also, we have 36 more people prefer tea than coffee, so we have c+36=t

Thus we have: 5(c+36)=9c

5c+180=9c

180=4c

c=45

c+36=t

45+36=81

Answer:

27°

Step-by-step explanation:

Angle ABC is 90°

ACB is 63 because it is vertically opposite angle GCJ

Angle CAB is 27° (90-63)

angle x is 27° (vertically opposite CAB)

Answer:

There are 86,400 seconds in a day. (Answer choice C)

Answer:

8 - 6x + 10x - 15 = 20 -5x

8 + 4x - 15 = 20 - 5x

8 - 15 = 20 - 9x

6 = 20 - 9x

-14 = -9x

divide by -9  .736

Step-by-step explanation:

The solution of the equation 2 (4 – 3x) + 5 (2x – 3) = 20 – 5x will be 3. Then the correct option is D.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

2 (4 – 3x) + 5 (2x – 3) = 20 – 5x

Simplify the equation, we have

2 (4 – 3x) + 5 (2x – 3) = 20 – 5x

      8 – 6x + 10x – 15 = 20 – 5x

                              9x = 27

                                x = 3

Then the correct option is D.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

a = 94

b = -66√3

Step-by-step explanation:

Given  z = [tex]-1-i\sqrt{3}[/tex]

[tex]z^{6}=(z^{3})^{2}[/tex]

[tex](-1-i\sqrt{3})^6=[(-1-i\sqrt{3})^3]^2[/tex]

                   [tex]=[-(1+i\sqrt{3})^3]^{2}[/tex]

                   [tex]=[(1+i\sqrt{3})^3]^2[/tex]

                   [tex]=[(1)^3+(i\sqrt{3})^3+3(1)^2(i\sqrt{3})+3(1)(i\sqrt{3})^2]^2[/tex] [(a + b)³ = a³ + b³ + 3a²b + 3ab²]

                   = [1 + 3i² + 3i√3 + 9i²]²

                   = [1 - 3 + 3i√3 - 9]²

                   = [-11 + 3i√3]²

                   = (11)² -2(3i√3)(11) + (3i√3)²

                   = 121 - 66i√3 + 27i²

                   = 121 - 66i√3 - 27

                   = (94 - 66i√3)

Comparing it with (a + bi),

a = 94 and  b = -66√3

Answer:

x = 8

Step-by-step explanation:

==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.

Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.

Thus, AB/EF = BC/FG = CD/GH = DA/HE

We have: 3/y = 4/3 = 5/z = x/6

Finding z:

4/3 = 5/z

Cross multiply

4*z = 5*3

4z = 15

z = 15/4

z = 3.75

Let's find x:

5/z = x/6

5/3.75 = x/6

Cross multiply

6*5 = x*3.75

30/3.75 = x

8 = x

x = 8

Answer:

area=πr√{h^2+r^2}

area=704cm^2, Height(h) =25cm

therefore,

by solving, πr√{h^2+r^2}=704cm^2

you will get value of r.

now, volume=πr^2×h/3

putting all values answer will come

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the function f(x)=(x+4)², the x intercept occurs at f(x)  = 0, substituting f(x) = 0 into the given equation to get the value of x we have;

[tex]0 = (x+4)^{2} \\[/tex]

Taking the square root of both sides

[tex]\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\[/tex]

Subtracting 4 from both sides of the equation

[tex]x+4-4 = 0-4\\x = -4[/tex]

Therefore the x intercept of the equation is -4

Answer: B) increasing for x < -4/3 and x > 4/3

                   decreasing for -4/3 < x < 4/3

Step-by-step explanation:

Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.

Refer to the image below. Red is increasing. Blue is decreasing.

The vertices are at: x = -4/3 and x = 4/3