What are the solutions of -x2 + 4x = x - 4?
O-5 and 0
0-5 and -1
0-1 and 4
O and 4

option B

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Answer: the ratio is 6:4

Step-by-step explanation:

the amount of large bones is 4 so:4 and the number of small bones is 6 so  6:

so the answer is 6:4

Answer:

3:2

Step-by-step explanation:

4/2=2

6/2=3

find the common factor which is 2, divide both by 2

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Answer:

Area of composite shape = 36 square units

Step-by-step explanation:

Area of composite shape:

Rectangle I:

      Length = 3 units

     width   = 6 - 4 = 2 units

Area of rectangle I = length *width

                                = 3* 2

                                = 6 square units

Rectangle II:

     length = 6 units

     width = 5 units

Area of rectangle II = 6 * 5

                                = 30 square units

Area of composite shape = area of rectangle I + area of rectangle  II

                                          = 6 + 30

                                           = 36 square units

Answer

To solve the equation, factor x

2

−7x+12 using formula x

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−7

ab=12

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 12.

−1,−12

−2,−6

−3,−4

Calculate the sum for each pair.

−1−12=−13

−2−6=−8

−3−4=−7

The solution is the pair that gives sum −7.

a=−4

b=−3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−4)(x−3)

To find equation solutions, solve x−4=0 and x−3=0.

x=4

x=3

Step-by-step explanation:

The most likely dates of the full moons will be C. February 25, March 27, April 25, and May 24.

It should be noted that a full moon simply means the lunar phase when the moon appears illuminated from the perspective of the Earth.

In this case, the most likely dates of the full moons will be February 25, March 27, April 25, May 24. The Full moon usually lasts for a night.

Learn more about moon on:

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Answer:

[tex]C=30.536\ ft[/tex]

Step-by-step explanation:

Step 1:  Determine the radius

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

[tex]74.2\ ft^2=\pi *r^2[/tex]

[tex]\frac{74.2\ ft^2}{\pi }=\frac{\pi *r^2}{\pi }[/tex]

[tex]23.619\ ft^2=r^2[/tex]

[tex]\sqrt{23.619\ ft^2}=\sqrt{r^2}[/tex]

[tex]4.8599\ ft=r[/tex]

Step 2:  Determine the circumference

[tex]C=2*\pi *r[/tex]

[tex]C=2*\pi *4.8599\ ft[/tex]

[tex]C=30.536\ ft[/tex]

Answer:  [tex]C=30.536\ ft[/tex]

Answer:

j < x/7

Step-by-step explanation:

Answer:

x = 98 degrees

Step-by-step explanation:

The sum of angles in a pentagon is 540 degrees. You can find this with the formula where n is the number of sides: 180(n-2). This formula will find the angle sum of a polygon. Now, since you know the value of every other angle except X, we can construct the equation 112+100+113+117+x=540

Solving this equation yields x=98 degrees

Sum of angles in a pentagon is 540°

x = 540 - (117+113+100+112)

x = 540 - 442

x = 98°

Answer:

y = 2 x ± [tex]\sqrt{2}[/tex]   =± 2.8284

Step-by-step explanation:

y*y/4+15-(17)=0

Answer:

[tex]4 + 15 \div y = 17 \\ \\ 4 + 15 = 17y \\ \\ 19 = 17y \\ \\ y = \frac{19}{17} [/tex]

Answer:

it's 11m+5m

Step-by-step explanation:

Rearrange term

6m+5(n+m)

6m+5(m+n)

Distribute

6m+5m+5n

Combine like terms

6m+5m+5n

=11m+5n

Answer:

[tex](x+4)^2+3=0[/tex]

Step-by-step explanation:

Hey there!

Standard form is what this equation is in

Standard form is this: [tex]ax^2+bx+c[/tex]

So order to complete the square, you need to take the [tex]b[/tex] term out of the equation, divide it by two, and then square it

In this case, the [tex]b[/tex] term is 8

We need to divide 8 by 2 ---> 4

Then square 4 ---> 16

So now you should add 16 to both sides

[tex]x^2+8x+16+19=16[/tex]

Now you can simplify the LHS

[tex](x+4)^2 +19=16[/tex]

Now you subtract 16 from both sides

[tex](x+4)^2+3=0[/tex]

So this is as far as you can go since you cannot take the square root of a negative number

Answer:

[tex]5x^4+5x^3+3x^2-4[/tex]

Answer:

Yes, at positive x coordinates

Step-by-step explanation:

Find the equation of g(x)

Given ordered pairs of g(x):  (-1, -22)  (0, -20)  (1, -18)

[tex]\sf let\:(x_1,y_1)=(0,-20)[/tex]

[tex]\sf let\:(x_2,y_2)=(1,-18)[/tex]

[tex]\sf slope\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-18-(-20)}{1-0}=2[/tex]

Point-slope form of linear function: [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-(-20)=2(x-0)[/tex]

[tex]\implies \sf y=2x-20[/tex]

Substitute the equation of g(x) into the equation of the circle and solve for x

Given equation:  [tex]y^2+x^2=100[/tex]

[tex]\implies (2x-20)^2+x^2=100[/tex]

[tex]\implies 4x^2-80x+400+x^2=100[/tex]

[tex]\implies 5x^2-80x+300=0[/tex]

[tex]\implies x^2-16x+60=0[/tex]

[tex]\implies x^2-10x-6x+60=0[/tex]

[tex]\implies x(x-10)-6(x-10)=0[/tex]

[tex]\implies (x-6)(x-10)=0[/tex]

Therefore:

[tex](x-6)=0 \implies x=6[/tex]

[tex](x-10)=0 \implies x=10[/tex]

So the linear function g(x) will intersect the equation of the circle at positive x coordinates.

Answer:

f = 79

Step-by-step explanation:

You need to perform one-step equations process

146 + f = 225 (You're trying to solve for "f")

*First way, you could subtract both sides by 146 which makes the 146 cancel out then do 225-146 = 79. So f is 79

*A rule to remember is that the opposite of addition is subtraction. If you move 146 to 225 side you must switch it to negative 146.

Answer:

for every 21 votes for A there were 6 for b or 9 for c

Step-by-step explanation:

63 divided by 3

18 divided by 3

27 divided by 3

Answer:

27

Step-by-step explanation:

1 + (5)(2) + (1 + 3)^2

1 + 10 + (1 + 3)^2

11 + (1+3)^2

11+4^2

11+16

27

Answer:

1/10 of the class

Step-by-step explanation:

We already know:

Determining the fraction of the total students rides on school bus

[tex]\implies\dfrac{7}{10} = \text{Walk}[/tex]                              [tex]\dfrac{10}{10} - \dfrac{7}{10} = \boxed{\dfrac{3}{10}} \ \text{students remain}[/tex]

[tex]\implies\dfrac{1}{5} = \dfrac{2}{10} = \text{Ride bikes}[/tex]              [tex]\dfrac{3}{10} - \dfrac{2}{10} = \boxed{\dfrac{1}{10} }\ \text{student remain}[/tex]

Thus, 1/10 of the class rides on the bus.

Answer:

I think it would be B

Step-by-step explanation:

Because if you look at it neither of the x or y's are the same and if you multiply the second equation by 2 than you would have the same y in both problems which is 4y

All sides add up to the perimeter. The perimeter of the kite is 27 units then the correct option is C.

It is concerned with the geometry, region, and density of various 2D and 3D forms.

The Pythagoras theorem will determine the kite's length (x).

H² = P² + B²

H² = 15² + 8²

H² = 225 + 64

H² = 289

 H = 17

Then

[tex]\rm x = \dfrac{H}{2} \\\\x = \dfrac{17}{2}\\\\x = 8.5[/tex]

And another length of the kite is 5 units.

Then the perimeter of the kite will be

Perimeter = 2(8.5 + 5)

Perimeter = 27

More about the geometry link is given below.

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Answer:27 units

Step-by-step explanation:

trust

Answer:

y=e^x - 4

Step-by-step explanation:

The log functions decrease with increasing x.  The line shown increases as x increases, so it must be one of the two e^x equations.  We can decide which one by calculating which equation povides the correct values to match the two points the curve crosses the y and x axes.

The graph shows the line crossing the y axis at -3 (0,-3)

It shows it crossing the x axis at a little over 1, perhaps 1.4 (1.4,0).  

When x=0, e^0 = 1.  

Look at the point (0,-3):  

We know the e term will be 1 (e^0 = 1), so for y to be -3, we need to subtract 4:  The form e^x - 4  would yield a value for y, when x is 0, of y = 1 - 4 or -3.

Check the other point (1.4,0):

y = e^1.4  is equal to 4.00

y = 4.00 - 4

y = 0

This point is also correct (1.4,0)

The correct equation is y=e^x - 4

Answer:

b =28.28

Step-by-step explanation:

SinA/x = sinB/x

Sin30°/20=sin45°/b

Cross multiplication

20×sin45=b×sin30

20×sin45/sin30 =b

b=28.28

Using it's concept, it is found that there is a 0.643 = 64.3% probability that it will rain in the village on Wednesday.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, considering Monday - Tuesday - Wednesday, the possible outcomes are as follows:

R - R - R(0.7 x 0.7 x 0.7)

R - N - R(0.7 x 0.2 x 0.6)

N - R - R(0.3 x 0.6 x 0.8)

N - N - R(0.3 x 0.4 x 0.6)

Then, the probability is given by:

p = 0.7 x 0.7 x 0.7 + 0.7 x 0.2 x 0.6 + 0.3 x 0.6 x 0.8 + 0.3 x 0.4 x 0.6 = 0.643.

0.643 = 64.3% probability that it will rain in the village on Wednesday.

More can be learned about probabilities at https://brainly.com/question/14398287

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Answer:

21.5 square units

Step-by-step explanation:

The 4 circles touching eachother have a total combined length of 20.

There are 4 circles. 20/4 = 5. The diameter of each circle is 5 units.

The length ofthe rectangle is 20 units. the width of the rectangle is 5 units.

The area of the shaded region is the area of the rectangle minus the ares of 4 circles.

A = area of rectangle - area of 4 circles

A = LW - 4 × πr²

The radius of each ciorcle is d/2 = 5/2 = 2.5

A = 20 × 5 - 4 × 3.14 × 2.5²

A = 100 - 78.5

A = 21.5

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

when the numerator and denominator are no longer divisible by the same number, that's when it is in simplest form:

[tex]\frac{2}{8}[/tex] divides by [tex]\frac{2}{2}[/tex] to give you [tex]\frac{1}{4}[/tex]

2÷2 = 1

8÷2 = 4

Answer:

17.0 m/s

Step-by-step explanation:

Using SUVAT:

[tex]s= \\u=7.0\:\textsf{m/s}\\v=v \\a=2.0\:\textsf{m/s}^2\\t=5\: \sf s[/tex]

[tex]\begin{aligned}\textsf{Using}\quad v & =u+at\\ \implies v & = 7.0+2.0(5)\\ & = 7.0+10.0\\ & = 17.0\:\textsf{m/s} \end{aligned}[/tex]

The area of the rhombus with length of diagonals 12 cm and 12 cm is 72 centimetre squared.

The area of a rhombus can be represented mathematically as follows:

area of a rhombus  = ab / 2

where

a = 6 + 6 = 12 cm

Therefore, let's find b

tan 45 = opposite / adjacent

tan 45 = 6 / x

x = 6 / tan 45

x = 6 / 1

x = 6

b = 6 + 6 = 12 cm

Therefore,

area = 12 × 12 / 2

area = 144 / 2

area = 72 cm²

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Answer:

Step-by-step explanation:

Givens

pi = 3.14

d = 10 cm

h = 2*d

Formula

The combined formula is given below.

SA = 2*pi*r^2  +  2*pi*r * h

Conversions

d = 10 cm

h = 2*10

h = 20 cm

r = d/2

r = 10 / 2

r = 5cm

Solution

SA = 2*pi*r^2  +  2*pi*r * h

SA = 2*3.14*5^2 + 2*3.14*5*20

SA = 157 + 628

SA = 785 cm^2

Answer: The surface area is 785 cm^2

Answer:

the surface area is 250 Pi square centimeters

The correct option is C: A number less than or equal to 3 will add one point and A.4 will lose two points.

Given the spinner below in which all regions are equal, which of the following point scales would result in a favorable game

Therefore a spinner is divided into 4 equal sections.

A favorable game is one in which, loosely speaking, there are opportunities for favorable bets.

each section is a different color and is labeled 1 through 4.

red is 1; 2 is blue; 3 is green; 4 is yellow.

The odd-numbered regions will add one point.

The even-numbered regions lose one point.

red will add one point.

any other color will lose one point. a number less than or equal to 3 will add one point.

Therefore the option a and c is correct

C: A number less than or equal to 3 will add one point.

A.4 will lose two points.

Edge

To learn more about the favorable game visit:

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Answer:

A number less than or equal to 3 will add one point.

A 4 will lose two points.

Step-by-step explanation:

The answer above is correct.

Answer:

3 out of 4 I think

Step-by-step explanation:

because the total amount is 4 so there's a 3/4 chance youll get less than 4