Graph y = 5.
Answer??

Answer:

\( \huge \sf \underline { \orange{AnSwEr : }}\)

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The distance between point P and line L is 16/9√(13).

To find the distance between point P and line L, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is as follows:

Let P = (x1, y1) be the point and L be the line ax + by + c = 0. Then the distance between P and L is:

|ax1 + by1 + c|/√(a² + b²)

To find a, b, and c for the given line, we need to put it in slope-intercept form y = mx + b by solving for y.

2x - 3y = 12=> 2x - 12 = 3y=> (2/3)x - 4 = y

The slope of the line, m, is the coefficient of x, which is 2/3. Therefore, the line is:

y = (2/3)x - 4The values of a, b, and c are: a = 2/3b = -1c = -4

Now we can substitute the coordinates of P and the values of a, b, and c into the formula for the distance between a point and a line.

Let P = (3, 5).|a(3) + b(5) + c|/√(a² + b²)= |(2/3)(3) - 1(5) - 4|/√[(2/3)² + (-1)²]= |-4/3 - 4|/√(4/9 + 1)= 16/9√(13).

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Answer:

40

Step-by-step explanation:

200 divided by 5 = 40

Answer:

y=6 , x=8

Step-by-step explanation:

3y - 2 = 4y - 8 (opposite sides of a parallelogram are equal)

-2 + 8=4y - 3y

6=y

2x -4 =x +4 (opposite sides of a parallelogram are equal)

2x -x=4+4

x=8

The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

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Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

Answer:

$2.85 per hour

Step-by-step explanation:

Answer:

I think the answer is 35 or are trying to find how much is in and hour

The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

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Answer:

Step-by-step explanation:

answer is x=1/4y+3/4

Answer:

57327392393629324

Step-by-step explanation:

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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The length of the path is 130 yards

To determine the value of the path, c, we need to know the Pythagorean theorem

Using the Pythagorean theorem which states that the square of the longest leg of a triangle is equal to the sum of the squares of the other two sides of the triangle.

In this case, we have that;

c² = length² + width²

Substitute the values from the information given, we have that;

c² = 50²+ 120²

Find the squares, we get;

c² = 2500 + 14, 400

add the values, we get;

c² = 16900

c = 130 yards

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Answer:

4 toppings

Step-by-step explanation:

Set the two equations equal

8 + 1.25x = 10+.75x

Subtract .75x from each side

8 + 1.25x-.75x = 10+.75x-.75x

8 + .5x = 10

Subtract 8 from each side

8-8 + .5x=10-8

.5x =2

Divide each side by .5

.5x/.5 = 2/.5

x = 4

Answer:

977

Step-by-step explanation:

The amount to equally make a whole is 100. In this case the tens has 270 so subtracting it till it can no longer be subtracted by 100 would leave you 70. you have 2(200) wholes that's basically 100s so you add 200 and 700 getting 900 and left with 70 and 7 add those two and get 77 and adding the 900 would be 977.

(sorry if I'm incorrect,dearest apologies.)

Answer: 34767.2

Step-by-step explanation:

given p = $16,000, n = 14 years, y = 5.7%

amount in bank after 14 years = p ( 1 + </100)

= 16,000 (1 + 5.7/ 100) 14

= 34767.2

Answer:

Step-by-step explanation:

Required formula:

Substitute values and solve:

Answer:

Step-by-step explanation:

Wheres the diagram??

Incomplete q

Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

Answer: 281.7

Step-by-step explanation:

Approximately 94.90% of the men in the country are eligible for the military based on height.

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

z-score = (X-ц )/σ

First, we need to standardize the values of 66 and 77 using the given mean and standard deviation:

Z(66) = (66 - 70.4) / 2.6 = -1.69

Z(77) = (77 - 70.4) / 2.6 = 2.54

The percentage of the area under the standard normal distribution curve is between -1.69 and 2.54.

Using a standard normal distribution table, we can find that the area to the left of Z = -1.69 is 0.0455 and the area to the left of Z = 2.54 is 0.9945.

Therefore, the area between Z = -1.69 and Z = 2.54 is:

0.9945 - 0.0455 = 0.9490

This means that approximately 94.90% of the men in the country have heights between 66 inches and 77 inches.

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Answer:

You use percent for both which makes it look like an addition problem so your answer would be 92.

Step-by-step explanation:

85+7=?

85=80+5

5+7=12

12=10+2

80+10=90

90+2=92

The solution to the equations are b = 15, b = 22, c = 21 and n = 28

From the question, we have the following equations that can be used in our computation:

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Next, we collect the like terms in each of the equation

This gives

b = 31 - 16

b = 50 - 28

c = 54 - 33

n = 52 - 24

Lastly, we evaluate the like terms

b = 15

b = 22

c = 21

n = 28

The above are the solutions to the equations

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Question

Solve the following equations:

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Answer:

\(p = \frac{m}{v} \)

Step-by-step explanation:

Density is the ratio of an object's mass to its volume, and it measures how compact an object is. The density of an object, p, is directly proportional to its mass, m, and inversely proportional to its volume, V:

\(p = \frac{m}{v} \)

Check the picture below.

\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)

Make sure your calculator is in Degree mode.

Step-by-step explanation:

We know the quadratic formula, which is :

\( \\ {\longrightarrow \qquad{ \sf{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }}} \\ \\ \)

Here,

So,

\( \\ {\longrightarrow \qquad{ \sf{x = \frac{ - ( - 6) \pm \sqrt{ {( - 6)}^{2} - 4(1)( - 5) } }{2(1)} }}} \\ \\ \)

\( {\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 36 - 4( - 5) } }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 36 + 20 } }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 56 } }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2(28) } }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2(2)(14) } }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2(2)(2)(7) } }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2} . \sqrt{2} . \sqrt{2 . 7} }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm 2 \sqrt{14} }{2} }}} \\ \\ \)

Now, Separating the solutions :

\( \\ {\longrightarrow \qquad{ \sf{x = \frac{ 6 + 2 \sqrt{14} }{2} }}} \\ \\ \)

\( {\longrightarrow \qquad{ \sf{x = 3 + \sqrt{14}}}}\\ \\ \)

\(\\ {\longrightarrow \qquad{ \sf{x = \frac{ 6 - 2 \sqrt{14} }{2} }}} \\ \\ \)

\( {\longrightarrow \qquad{ \sf{x = 3 - \sqrt{14}}}}\\ \\ \)

Answer:

-----------------------

Substitute 12 and 24 for n into formula and calculate.

So, the 12th term is 63 and 24th term is 123.

If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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The output for an input of n is given as follows:

f(n) = -4 - 2n.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

For this problem, we have that when x increases by one, y decays by two, hence the slope m is given as follows:

m = -2.

Hence:

f(n) = -2n + b.

When n = 1, f(n) = -6, hence the intercept b is obtained as follows:

-6 = -2 + b

b = -4.

Hence the equation is:

f(n) = -2n - 4.

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The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:

0.07 ; 0.65 ; 0.00064339296875 ; 3.02 * 10^-12

Step-by-step explanation:

Given :

Number of monkeys, n1 = 10

Probability of fall, off ; p(m) = 35% = 0.35

Number of kangaroos, n2 = 5

Probability of fall, off : p(k) = 20% = 0.2

1.) A monkey and kangaroo falls off;

p(m) * p(k) = 0.35 * 0.2 = 0.07

2.) probability that monkey will not fall off;

1 - p(m) = 1 - 0.35 = 0.65

3.) probability that a monkey falls off every one of seven nights :

P(m) = 0.35 ; for 7 nights ;

0.35 *0.35 * 0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.35^7 = 0.00064339296875

4.)

P(x ≥ 1) = p(1) + p(2) +... + p(10)

Using binomial probability calculator :

n = 7*10 = 70 ; p = 0.35

P(x ≥ 1) = 70C1 * 0.35^1 * 0.65^69 = 3.02 * 10^-12

Answer:

32

Step-by-step explanation:

Please clarify OU bisects ∠XO*. Is it Z? If it is so, then the solution is below:

∠YOX = ∠XOZ (vertical angles)

5x + 21 = 9x - 55

5x - 9x = -55 - 21

-4x = -76

X = 19

=> 5x + 21 = 5(19) + 21 = 116

∠YOX + ∠XOZ = 180 (linear angles)

116 + ∠XOZ = 180

∠XOZ = 180 - 116 = 64

Since OU bisects ∠XOZ

=> ∠XOU = ∠UOZ = 64/2 = 32