What is the maximum number of possible solutions for the system shown below?

[tex]x^2+4y^2=64\\x+y=5[/tex]

Answer:

  x = [-1 | 5, 2 | 1]

Step-by-step explanation:

We assume your notation is used to describe 2×2 matrices.

Solve for x:

  2x -k = m

  2x = m + k . . . . add k

  x = (1/2)(m +k) . . . . multiply by 1/2

Fill in the values:

  x = 1/2[2+(-4) | 8 +2, -2+6 | 5+(-3)]

  x = [-1 | 5, 2 | 1]

The correct answer is B, or the graph attached.

Just got it right on edge 2020, hope this helps!! :)

Answer:

41.776756 miles

Step-by-step explanation:

Using trigonometry and the Law of Cosines, we find that the distance between city A and city B is approximately 122.47 miles.

The question involves using trigonometry to solve for distances between points in a coordinate system, which represents cities in this context. To determine how far city A is from city B given that city C is 35° west of north from city B and specific distances from cities A and B, we can set up a right-angled triangle between the cities.

First, we calculate the angle formed at city B using the information provided about city C's angle. Since city C is 35° west of north and city A is due east of city B, the angle between cities A, B, and C is 180° - 35° = 145°.

We now have a triangle with cities A, B, and C forming the vertices and the following information: side BC (70 miles), side CA (100 miles), and angle BAC (145°). We can solve for the distance between city A and B using the Law of Cosines:

c² = a² + b² - 2ab×cos(C), where c is the side opposite the angle C and a and b are the other two sides.

The distance between cities A and B (side c) is therefore calculated as:

c = √(70² + 100² - 2×70×100×cos(145°))

After calculation, we find that the distance between city A and city B is approximately 122.47 miles.

Answer:

  x = 1 and x = 4

Step-by-step explanation:

A graph of the given equation, after rewriting to make the solutions be zeros of the function, shows the solutions to be x = 1 and x = 4.

You can take the antilog and solve the quadratic:

  log3((6x)^2/(4x)) = log3((x+2)^2) . . . . consolidate the logs

  9x = (x +2)^2 . . . . simplify and take the antilog

  0 = x^2 -5x +4 . . . subtract 9x

  0 = (x -4)(x -1) . . . . factor

Solutions are x = 1 and x = 4. (These values make the factors zero.)

Answer:

c on edge

Step-by-step explanation:

Answer:

Option B

[tex]P(A|B') = \frac{1}{3}[/tex]

Step-by-step explanation:

If B 'is the complement of B then [tex]P(B') = P({\displaystyle {\overline {B}}})=1-P(B) = \frac{2}{3}[/tex]

In a probabilistic experiment, when two events A and B are dependent on each other, then the probability of occurrence A since B occurs is:

[tex]P(A|B') = \frac{P(A\ and\ B)}{P(B')}[/tex]

Then if [tex]P(A\ and\ B) = \frac{2}{9}[/tex] and [tex]P(B') = \frac{2}{3}[/tex]

[tex]P(A|B') = \frac{\frac{2}{9}}{\frac{2}{3}}\\\\P(A|B') = \frac{1}{3}[/tex]

Answer:

The correct answer option is B. 1/3.

Step-by-step explanation:

We are given that P (A ∩ B') = 2/9 and P (B') = 1/3 and we are to find P (A | B').

We also know that the formula of conditional probability is given by:

P (A | B') = P (A ∩ B') / P (B)

So substituting the given values in the formula above to get the value of P (A | B'):

P (A | B') = [tex] \frac { \frac { 2 } { 9 } } { \frac { 1 } { 3 } } = \frac { 2 } { 9 } \times \frac { 3 } { 1 } [/tex] = 1/3

Answer:

1800 meters

Step-by-step explanation:

The function is for every minute represented by X 150 meters is completed...or

x(150m)

To find 12 minutes you replace the x with 12

12(150m)=1800 meters

The function that represents how many meters Jackie can run is: 'y = 150*x + 500'. After 12 minutes, Jackie can run 2300 meters.

The problem is basically describing a linear relationship between the minutes Jackie trains and the total distance she covers. The function can be represented by the equation: y = mx + c. In this context, 'y' represents the total distance run, 'm' represents the speed (150 meters/minute), 'x' represents time (minutes), and 'c' is the initial distance covered (500 meters).

So the function will be: y = 150*x + 500.

To find out how much Jackie run after 12 minutes, substitute 12 for 'x' in the equation: y = 150*12 + 500. After doing the calculations, we see that Jackie can run 2300 meters in 12 minutes.

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Answer:

Step-by-step explanation:

For equation:  y = 2x + 3 , 2x - y = 5

Compare equation y = 2x + 3 with y = m x + c then we get slope 'm' is 2.

Now, put x = 0 in y = 2x + 3 to get y-intercept

y = 2(0)+ 3

y = 0 + 3

y =  3

so, the y-intercept is 3 .

Re-write this equation 2x - y = 5 in the slope intercept form;

Subtract 2x from both the sides of 2x - y = 5

2x - y - 2x = 5 - 2x

- y = - 2x + 5

Multiply both the sides by '-1'

y = 2x - 5

so, when we compare above equation with y = m x + c then we get slope 'm' is 2 .

Now, put x = 0 in y = 2x - 5 to get y-intercept

y = 2(0) - 5

y = 0 - 5

y =  - 5

so, the y-intercept is - 5 .

Equation y = 2x + 3 and  2x - y = 5 are parallel (since there slope are equal 'm = 2').

There is no solution to this system of equations.

For equation:  3x - y = 5 , 2x + y = -3

Re-write this equation 3x - y = 5 in the slope intercept form;

Subtract 3x from both the sides of 3x - y = 5

3x - y - 3x = 5 - 3x

- y = - 3x + 5

Multiply both the sides by '-1'

y = 3x - 5

so, when we compare above equation with y = m x + c then we get slope 'm' is 3 .

Now, put x = 0 in y = 3x - 5 to get y-intercept

y = 3(0) - 5

y = 0 - 5

y =  - 5

so, the y-intercept is - 5 .

Re-write this equation 2x + y = -3 in the slope intercept form;

Subtract 2x from both the sides of 2x + y = -3

2x - y - 2x = -3 - 2x

- y = - 2x - 3

Multiply both the sides by '-1'

y = 2x + 3

so, when we compare above equation with y = m x + c then we get slope 'm' is 2 .

Now, put x = 0 in y = 2x + 3 to get y-intercept

y = 2(0) + 3

y = 0 + 3

y =  3

so, the y-intercept is 3 .

Equation 3x - y = 5 and 2x + y = -3 are intersecting lines (since their slope are not equal).

There is one solution to the system of equations (since the lines are intersect).

For equation:   y  = x + 4 , y  = x + 4

Compare equation y = x + 4 with y = m x + c then we get slope 'm' is 1.

Now, put x = 0 in y = x + 4 to get y-intercept

y = 0+ 4

y =  4

so, the y-intercept is 4 .

since equation of line are same therefore slopes are also equal

Equation  y  = x + 4 and y  = x + 4 are parallel lines.

There are infinite solutions to the system. ( Since equivalent equation)

Answer:

4%

Step-by-step explanation:

Answer:

+/- 4%.

Step-by-step explanation:

That would be +/- (84-76)/2

= +/- 8/2

= +/-4%.

90 speed in meters

:explenation step by step

1. 5× =450

2. 450÷5=90

3.5×90=450

Final answer:

Janice's swimming speed is calculated by dividing the distance she swims, 450 meters, by the time it takes, 5 minutes, resulting in a speed of 90 meters per minute.

Explanation:

To calculate Janice's swimming speed in meters per minute, you divide the distance she swims by the time it takes her to swim that distance. Janice swims 450 meters in 5 minutes.

Swimming speed = Distance ÷ Time.

Swimming speed = 450 meters ÷ 5 minutes = 90 meters per minute.

Therefore, Janice's swimming speed is 90 meters per minute.

Answer:

-x^2+3x

Step-by-step explanation:

Answer:

  740

Step-by-step explanation:

If x and y represent the numbers of cans Cannon and Haslyn collected, respectively, then the expression x+y represents the total number of cans the two of them collected. The problem statement tells you that, together, they collected 740 cans. The value of x+y is 740. The first equation gives that value the name "A", which means ...

  A = 740

Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

[tex]V=\frac{s^2h}{3}[/tex]

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.

Find the height with the Pythagorean Theorem:

[tex]a^2=b^2+c^2[/tex]

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

[tex]a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h[/tex]

Then, you can find the height:

[tex](26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm[/tex]

Then, knowing that:

[tex]s=23mm\\h=23.318mm[/tex]

You can calculate the volume:

 [tex]V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3[/tex]

As far as I can tell, the definition of margin of error involves more than you're given in this exercise (for example, you should know how many people were surveyed, the standard deviation, etc etc).

So, I assume that you're looking for a "simplified" interpretation of the margin of error: the estimate are around 80%, with a margin of 4% up or down.

So, you would be claiming that 80% of people is satisfied, with a margin of uncertainty of 4% (so it can be a minimum of 80-4=76 and a maximum of 80+4=84)

Answer: 25 boxes of pasta

Step-by-step explanation:

$13 / 5 = $2.60

$65 / $2.60 = 25

It is.

The function is just another way of saying to transfer something from domain A to domain B.

[tex]f(x)=y:A\longrightarrow B; x\in A, y\in B[/tex]

Now your function states:

[tex]D=\{x\} \\

f(x)=y: D\longrightarrow E; x\in D, y\in E[/tex]

the answer for this question is all are not polynomials

Answer:

The first, second, and last ones are polynomials, the others are not.

Step-by-step explanation:

Answer: You must subtract 5 from 12.

Step-by-step explanation:

When solving a one step equation such as this one where you are trying to find x, you must subtract 5 from both sides of the equation. You have to subtract because there is a plus sign: 5 + x = 12

If instead there was a minus sign, you would ADD 5 to both sides. Since it is a plus sign, subtract 5 from 5 and from 12. You then get 7. X=7.

Hope this helped :)

Answer: -5

Step-by-step explanation:

5 + x = 12

-5        -5

________

x = 7

Answer:

  c.  30.0 minutes

Step-by-step explanation:

Max mows 1/45 lawns per minute.

Jan takes twice as long (90 minutes per lawn), so mows 1/90 lawns per minute.

Working together, they mow ...

  (1/45 + 1/90) lawns per minute = (2/90 +1/90) lawn/min = 3/90 lawn/min

  = 1/30 lawn/min

Then for one lawn, it takes ...

  (1 lawn)/(1/30 lawn/min) = 30 min

Answer:

A

Step-by-step explanation:

30 min

i believe the answer is a

Answer:

answer : D

Step-by-step explanation:

Answer: x+7

Step-by-step explanation:

Taylor has x number of cats. Because we do not know how many cats they have combined, or the number of cats Taylor has, we can only simplify it to x+7. Therefore, x+7= the number of Staci's cats. Hope that helps! :)

Explanation:

Use the Pythagorean identity, cancel common factors, and divide numerator and denominator by cos(x). Equivalently, multiply numerator and denominator by sec(x).

[tex]\dfrac{\sin^2{x}+2\cos{x}-1}{\sin^2{x}+3\cos{x}-3}=\dfrac{1-\cos^2{x}+2\cos{x}-1}{1-\cos^2{x}+3\cos{x}-3} \qquad\text{replace $\sin^2$ with $1-\cos^2$}\\\\=\dfrac{\cos{x}(2-\cos{x})}{(\cos{x}-1)(2-\cos{x})}=\dfrac{\cos{x}}{\cos{x}-1}=\dfrac{1}{\dfrac{\cos{x}}{\cos{x}}-\dfrac{1}{\cos{x}}}=\dfrac{1}{1-\sec{x}}[/tex]

Answer:

B. 9.76 u²

Step-by-step explanation:

First calculate the area of the 60° wedge of the circle by calculating the area of the full circle and multiplying it by a fraction of 60°/360°:

[tex]A_{ABC}=\frac{60}{360}*\pi *r^{2}\\A_{ABC}=\frac{60}{360}*\pi *(6\sqrt{3})^{2}\\A_{ABC}=56.54[/tex]

Now calculate the the area of the white triangle in the wedge, by using a base length of [tex]3\sqrt{2}[/tex], and height:

[tex]h=\sqrt{(6\sqrt{3})^{2}-(3\sqrt{3})^{2}} \\h=9[/tex]

[tex]A_{TRI}=\frac{1}{2}*9*6\sqrt{3} \\A_{TRI}=27\sqrt{3} \\A_{TRI}=46.78[/tex]

Find the area of the red segment:

[tex]A_{ABC} -A_{TRI}\\=56.54-46.78\\=9.76[/tex]

Answer:

[tex]\boxed{m\angle A = m\angle D}\\[/tex]

Step-by-step explanation:

When you use a congruence statement, you must line up the corresponding parts of the triangles.

BC = DE is wrong, because BC = EF.

[tex]\boxed{m \angle A = m \angle D}[/tex] is correct.

m∠B = m∠F is wrong, because m∠B = m∠E.

AC = EF is wrong, because AC = DF

Triangle ABC is congruent to triangle DEF.m∠A=m∠D must be true about the triangles. Option B is correct.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

Triangle DEF and triangle ABC are congruent. The following assertion concerning triangles must be true:

m∠A=m∠D

Hence, statement B is correct.

To learn more about the triangle, refer to:

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Answer:

x = 72 degrees

Step-by-step explanation:

If triangle LMN = triangle QPR, that means:

- angle L (x) equals angle Q

- angle M equals angle P

- angle N equals angle R

We know angle Q equals 72 degrees and we know angle Q equals angle L. Since angle L is the "x" we are looking for, we know that x = 72 degrees.

Answer:

d. 32.9

Step-by-step explanation:

To find c, we'll use the Law of Sines that says:

[tex]\frac{a}{sin(A)} = \frac{c}{sin(C)}[/tex]

And we'll isolate a to get:

[tex]c = \frac{sin(C) * a}{sin(A)}[/tex]

We first need to find A, which is easy.  The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:

A = 180 - 90 - 47.3 = 42.7

(converted 47°18' to 47.3)

Then we will plug-in the information we already have

[tex]c = \frac{sin(90) * 22.3}{sin(42.7)} = 32.88[/tex]

So, let's round it to 32.9 to match the answer number D.

Answer:

D, 32.9

Step-by-step explanation:

Answer:

you don't know the answer?! Come on folk you tweaking.

Step-by-step explanation:

Answer:

5.90551

Step-by-step explanation:

1cm in inches - 0.3937008in

30cm in inches - 11.81102in = approx. 1 foot (1 ft = 12")

Answer is 2/9.

You have 18 marbles in total. You also have 4 blue marbles. 4/18 divided by 2 is 2/9. Therefore 2/9 is the correct answer.

Your answer is C) 2/9

Hope this helps chu fellow kpop fan XD

☆ Dont forget to mark brainliest ☆

so you first at the two numbers then you at the number to go out with a second then you keep doing that until you get into you don't have no more to answer so thank you

Answer:

I am very disappointed in you. I give you extra credit to try and help your grade and you cheat? Please come and see me tomorrow about what you are doing.

Step-by-step explanation:

Answer:

211 meters

Step-by-step explanation:

Let A represents the Admiral, B represents the Barstow and C represents the Cauldrew.

According to the question,

AB = 402,

∠B = 70°,

∠A = 31°,

∵ ∠B + ∠A + ∠C = 180° ⇒ 70° + 31° + ∠C = 180° ⇒ ∠C = 180° - 101° = 79°

By the law of sine,

[tex]\frac{sin C}{AB}=\frac{sin A}{ BC}[/tex]

By substituting the values,

[tex]\frac{sin 79^{\circ}}{402}=\frac{sin 31^{\circ}}{BC}[/tex]

By cross multiplication,

[tex]BC\times sin 79^{\circ} = 402\times sin 31^{\circ}[/tex]

[tex]\implies BC = \frac{ 402\times sin 31^{\circ}}{sin 79^{\circ}}=210.92050995\approx 211[/tex]

Hence, the distance between the Barstow and the Cauldrew is 211 meters ( approx )

Second option is correct.

ANSWER: Katie Must Plant 133 Shrubs On Friday.

First, We Know That Katie Needs To Plant 500 Shrubs In A Week. So Then, We Add Up 104+87+92+84 And When We Add Those Numbers Up, We Get How Many Shrubs She Has Planted On Monday Tuesday Wednesday And Thursday. To Find Out How Many Plants She Needs To Plant On Friday, Subtract 367 From 500 And You Get 133.

Answer:

  C.  10

Step-by-step explanation:

The values on the left are proportional to the values on the right. You can write the ratios different ways, but the one I chose is ...

  6/15 = x/25

  6·25/15 = x = 150/15 = 10

The value of x is 10.