Two lines, A and B, are represented by equations given below:

Line A: y = x − 2
Line B: y = 3x + 4

Which of the following shows the solution to the system of equations and explains why?

(−3, −5), because the point does not lie on any axis
(−3, −5), because the point satisfies both equations
(−4, −8), because the point satisfies one of the equations
(−4, −8), because the point lies between the two axes

Answer:

[tex]a = \frac{dv}{dt } = \frac{20 - 0}{2} = 10[/tex]

Answer: -8

Step-by-step explanation: So we after simplification we get

[(2/5) - (1/2) + (3/5)+ (7/2)] - [(3/5)/(1/4) - (1/5)]

After this I suppose it's just addition & subtraction, and can be easily done to get -8.

Answer:

The correct answer is A. 9.4 inches.

Step-by-step explanation:

Given that the volume of a boys' basketball is 434 cubic inches, and Dan would like to get a ball with half the volume for his son, to determine what is the diameter of the ball that Dan will buy for his son, the following calculation has to be done, knowing that the volume of a sphere is four thirds multiplied by pi multiplied by the radius cubed:

4/3 x 3.14 x X ^ 3 = 434

4.186 x X ^ 3 = 434

X ^ 3 = 434 / 4.186

X = 3√ 103.662

X = 4.7

In turn, since the radius of a sphere is equal to half its diameter, the diameter of the basketball is 9.4 inches (4.7 x 2).

Answer:

[tex]12 \sqrt{6} [/tex]

Step-by-step explanation:

[tex]2 \sqrt{3} \times 3 \sqrt{8} \\ (2 \times 3) \sqrt{(3 \times 8)} \\ 6 \sqrt{24} \\( 6 \times 2) \sqrt{6 } \\ 12 \sqrt{6} [/tex]

Given:

The expression is:

[tex]4\log_{\frac{1}{2}}w+(2\log_{\frac{1}{2}}u-3\log_{\frac{1}{2}}v)[/tex]

To find:

The single logarithm for the given expression.

Solution:

We have,

[tex]4\log_{\frac{1}{2}}w+(2\log_{\frac{1}{2}}u-3\log_{\frac{1}{2}}v)[/tex]

It can be written as:

[tex]=\log_{\frac{1}{2}}w^4+(\log_{\frac{1}{2}}u^2-\log_{\frac{1}{2}}v^3)[/tex]       [tex][\because \log a^b=b\log a][/tex]

[tex]=\log_{\frac{1}{2}}w^4+\log_{\frac{1}{2}}\dfrac{u^2}{v^3}[/tex]       [tex][\because \log \dfrac{a}{b}=\log a-\log b][/tex]

[tex]=\log_{\frac{1}{2}}\left(w^4\times \dfrac{u^2}{v^3}\right)[/tex]      [tex][\because \log ab=\log a+\log b][/tex]

[tex]=\log_{\frac{1}{2}}\dfrac{w^4u^2}{v^3}[/tex]

Therefore, the correct option is B.

Answer:

The answer is B :))

Step-by-step explanation:

Answer:

CD=20

Step-by-step explanation:

Use the pythagorean theorem: a²+b²=c²

(20√2)²-20²=a²

400(2)-400

800-400=400

√400=20

the first one is a quadrilateral

Step-by-step explanation:

a quadrilateral have four side

Answer:

c

Step-by-step explanation:

that is the procedure above

Answer:

Its the first one

Answer:

Step-by-step explanation:

True. They are both 30-60-90 triangles, and the side opposite the 60° angle is 5 in both. The side opposite the 30° angle is 5/√3 and the side opposite the 90° angle is 10/√3.

Answer:

[tex]\pm 9in^2[/tex]

Step-by-step explanation:

We are given that

Radius of end of a log, r= 9 in

Error, [tex]\Delta r=\pm 1/2[/tex]in

We have to find the error in computing the area of the end of the log by using differential.

Area of end of the log, A=[tex]pi r^2[/tex]

[tex]\frac{dA}{dr}=2\pi r[/tex]

[tex]\frac{dA}{dr}=2\pi (9)=18\pi in^2[/tex]

Now,

Approximate error in area

[tex]dA=\frac{dA}{dr}(\Delta r)[/tex]

Using the values

[tex]dA=18\pi (\pm 1/2)[/tex]

[tex]\Delta A\approx dA=\pm 9in^2[/tex]

Hence, the possible propagated error in computing the area of the end of the log[tex]=\pm 9in^2[/tex]

Answer:

[tex]A = (254.34 \pm 28.26) in^2[/tex]

Step-by-step explanation:

radius, r = 9 inches

error = 0.5 inch

The area of the end is

A = 3.14 x r x r = 3.14 x 9 x 9 = 254.34 in^2

[tex]A = \pi r^2\\\\\frac{dA}{dr}=2\pi r\\dA = 2 pi r dr \\\\dA = 2 \times 3.14\times 9\times 0.5 = 28.26[/tex]

So, the area is given by

[tex]A = (254.34 \pm 28.26) in^2[/tex]

Answer:

x = 5

I hope it's helps you

Answer:

x=5 this might be helpful to you.

Answer:

6ab

Step-by-step explanation:

=============================================================

Explanation:

Consider a very small town of only 4 people.

If 1 person bikes to work, then 1/4 = 0.25 = 25% of the population commutes by bicycle. We see that the remaining 4-1 = 3 people don't travel by bike.

The odds against selecting someone who uses their bike to get to work is 3:1 which is why the answer is choice B

We list the number of people we don't want first, and then the number of people we do want (those who use a bike). A colon separates the two values to form the odds ratio.

We can say "3:1" as "3 to 1". It means we're 3 times more likely to select someone we don't want vs someone we do want. The odds are against the bike person which is why the value we don't want is listed first.

In contrast, if your teacher asked "what are the odds in favor of selecting someone who commutes by bicycle?" then the answer would be 1:3. We simply swap the positions of what we set up earlier.

Answer: Choice D. 3 : r=3

Step-by-step explanation:

Easiest method and probably only method given the graph without knowing exact points besides an asymptote at x=-3.

Since we know there is an asymptote at x=-3, we just solve for the denominator and find r, when x=-3.

We are setting equation equal to 0, because when the denominator is 0, the graph has an asymptote at that point.

x+r=0

-3+r=0

r=3

Answer:

r=3

Step-by-step explanation:

[tex]You can call c the number of children and a for adults; you get:5.20c+8.50a=1097.60anda=4c meaning that the number of adults was four times the children.Substituting this value of a into the first equation we get:5.2c+8.5(4c)=1097.65.2c+34c=1097.6rearranging:c=1097.639.2=28and so:a=4c=4⋅28=112[/tex]

I got:  28  children and  112  adults.

Answer:

The sale price was 60% of the purchase price.

Step-by-step explanation:

Given that Blake bought a motorcycle for $ 550 last year and sold it for $ 330 this year, to determine what is his sale price as a percentage of his purchase price, the following calculation must be performed:

550 = 100

330 = X

330 x 100/550 = X

33000/550 = X

60 = X

Therefore, the sale price was 60% of the purchase price.

[tex]v = k {r}^{3} [/tex]

[tex]562.54 = k \times {7.5}^{3} [/tex]

[tex]562.54 = 421.88k[/tex]

[tex]k = 562.54 \div 421.88[/tex]

[tex]k = 1.33[/tex]

since

[tex]v = k {r}^{3} [/tex]

[tex]v = 1.33 \times {9}^{3} [/tex]

[tex]v = 729 \times 1.33[/tex]

[tex]v = 969.57[/tex]

9514 1404 393

Answer:

  7.0 cm

Step-by-step explanation:

The relationship between radius and area of a sphere is ...

  A = 4πr²

Then the radius as a function of area is ...

  r = √(A/(4π)) = (√(A/π))/2

For an area of 616 cm², the corresponding radius is ...

  r = (√(616/π))/2 ≈ 7.0 cm . . . . radius of the orange

Hope you could understand.

If you have any query, feel free to ask.

Answer:

32year

Step-by-step explanation:

let Ahmed be x years then sheriff will be x+8

in 7years time

sheriff will be x+8+7=x+15

Then Ahmed will be x+7

sum of their ages will be 7\10×100=70years

x+15+x+7=70

collect like terms

2x+22=70

2x=70-22

2x/2=48/2

x=24years

Sheriff=24+8

32years

Answer:

The solutions are x = -4 and x = 4.

Step-by-step explanation:

Solving a quadratic equation:

We have to find x for which [tex]y = 0[/tex].

In this question:

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

So

[tex]16 - x^2 = 0[/tex]

[tex]x^2 = 16[/tex]

[tex]x = \pm \sqrt{16}[/tex]

[tex]x = \pm 4[/tex]

The solutions are x = -4 and x = 4.

Answer:

3.39794000867

Step-by-step explanation:

first add log 125 and 625 and divide the answer by log 25 and minus the answer by 5

Answer:

The answer is 7.

9514 1404 393

Answer:

  3 3/8 inches

Step-by-step explanation:

If you spend a little time looking at the marks on the ruler, you see that the smallest marks divide each inch into 8 parts. The ribbon comes to the 3rd small mark* after the 3-inch mark, so the length of the ribbon is 3 3/8 inches.

_____

* Technically, it is the second small mark, as the marks are small, medium, small. It marks the end of the third space, where each space is 1/8 inch.

Answer:

im not sure but i think the answer is C) y = 2(x - 6)^2 + 5

The equation models the same quadratic relationship as function f(x) = 2x^2 - 12x + 11 will be 2(x-3)²-7.Option B is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the function is,

f(x) = 2x^2 - 12x + 11

We have to find the equation models the same quadratic relationship as the given function,

⇒2x²-12x+11

Take common 2 in the complete equation,

⇒2(x²-6x+11/2)

Add and subtract 9 from the complete equation,

⇒2(x²-6x+9-9+11/2)

Rearrange the equation as,

⇒2[(x-3)²-(7/2)]

⇒2(x-3)²-7

Thus, the equation models the same quadratic relationship as function f(x) = 2x^2 - 12x + 11 will be 2(x-3)²-7.Option B is correct.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Answer:

B i think

Step-by-step explanation:

Answer:

429 & 431

Step-by-step explanation:

Consecutive numbers are numbers that come right after the other.

Let x = first room number

[tex]x+x+2=860\\2x+2=860\\2x=858\\x=429\\\\(429) + 2 = 431[/tex]

Therefore, the two room numbers are 429 and 431.

Answer:12

Step-by-step explanation:

Square root of 16x9=12

Answer:

Step-by-step explanation:

When the height of the rightangle is drawn to the hypotenuse, the hypotenuse is divided into two parts that when multiiplied = the square of the height.

x^2 (the height) = 16 * 9

x^2 = 144                  Take the square root of both sides

sqrt(x^2) = sqrt(144)

x = 12