2x + 5y = -16 solve for Y

Component form of u is (-18,13) and The magnitude of u is 22.2

A vector is a two-dimensional entity with both magnitude and direction. A vector can be visualized geometrically as a directed line segment.

The component form of a vector is an ordered pair that describes the change in x and y values

This is mathematically expressed as (Δx, Δy) where Δx=x₂-x₁ and Δy=y₂-y₁

Given ;

Initial points of the vector as (14,-6)

The terminal point of the vector is (-4,7)

Here x₁=14,x₂=-4, y₁=-6,y₂=7

The component form of the vector u is (-4-14,7--6) =(-18,13)

Finding the Magnitude of the vector

u=√(x₂-x₁)²+(y₂-y₁)²

u=√-18²+13²

u=√324+169

u=√493

u=22.2

Therefore the Component form of u is (-18,13) and The magnitude of u is 22.2

To know more about vectors follow

https://brainly.com/question/25705666

#SPJ1

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

Since <PDA is right, the vertical angle, <BDC is right as well. Using sum of angles in a triangle, the angles in triangle BDC sum to 180, and for solving for <DCB, you get 30 degrees.

The line connecting the intersection of the tangents to the radius bisects the angle formed by the tangents; therefore, m<PCA is also 30 degrees.

A radius drawn to the point of tangency is perpendicular to the tangent, so <PAC is a right triangle. We can use sum of angles in a triangle for triangle PAC. Since <PCA is 30 and <PAC is right, <DPA is 60 degrees.

Now, we can look at triangle DPA, using sum of angles in a triangle, we can conclude triangle DPA is a 30-60-90 special right triangle. The leg opposite the 60 degree angle is √3 times the leg opposite the thirty degree angle. Since <DPA is 60 degrees and <PAD is 30:

[tex]DP\sqrt{3} = 6\\DP = \frac{6}{\sqrt{3} } \\DP = \frac{6}{\sqrt{3} } \times \frac{\sqrt{3} }{\sqrt{3} } \\DP = \frac{6\sqrt{3} }{3} \\DP = 2\sqrt{3}[/tex]

Also, in a 30-60-90, the hypotenuse is twice the leg opposite the 30 degree angle, so x is 2 * 2√3. or [tex]4\sqrt{3}[/tex].

Using translation concepts, it is found that the correct statements are given as follows:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the functions are:

h(x) = -x² = -g(x), which means that h(x) is a reflection of g(x) over the x-axis. Since [tex]g(x) \geq 0[/tex] for all values of x, [tex]h(x) \leq 0[/tex] for all values of x, which means that they are equal at the origin and g is greater for other values of x, hence the correct statements are:

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:19 for first answer. Second answer is subtract 16 from both sides

Step-by-step explanation:76/4 first answer

Answer:

hope you can understand

Answer:

Write in slope-intercept form,

y

=

m

x

+

b

.

y

=

5

3

x

−

20

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=-5/12x+5/3

Step-by-step explanation:

1. translated down by 3 units.

2. reflected over the x-axis

3. translated left by 4 units : (x-1 + 4)

4. translated right by one unit : (x-1 - 1)

5. reflected over the y-axis (but it is really a translation to the left by 2 units : x-1 + 2).

6. translated up by 1 unit

Answer:

this is your answer

hope it will help you

Answer:

5000

makes the best sense

Answer:

mean 24.2

median 25

Step-by-step explanation:

6 11 25 31 48

Answer:

B is true

C is false

D is false

Step-by-step explanation:

- B is true because two negative numbers are added together, the outcome is negative hence always less than 0

- C is false due to needing a negative number add to -1.5 to be less, a positive only makes the number greater

- D is false since you are adding 0.9 (9/10), anything less than this will m ake the sum be greater than 0

example: - 0.5 + 0.9 = 0.4 or - 0.8 + 0.9 = 0.1

Answer:

B

Step-by-step explanation:

The slope of the line that passes through the given points is (4-7)/(-3-1) = 3/4.

Since parallel lines have equivalent slopes, the answer is B.

The graph (A) in the picture represents the solution to the inequality, option (A) is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The options are missing.

The graph is in the picture, please refer to the picture.

We have an inequality:

y − 2x ≤ 1

The above inequality represents a straight line with a positive slope.

The right side region of the line is representing the solution to the inequality.

Graph (A) represents the inequality.

Thus, the graph (A) in the picture represents the solution to the inequality, option (A) is correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

Answer:

height = 18m

Step-by-step explanation:

cone volume = 3183.96 m³

1/3 πr²h = 3183.96

1/3×3.14×13×13×h = 3183.96

h = 3183.96×3/13×13×3.14

h = 9551.88/530.66

h = 18

Answer:

length of PR is [tex]4\sqrt{5}[/tex]

Is an isosceles triangle

because PQ is congruent to QR

Step-by-step explanation:

Calculate length of P(-6,0) R(2,4)

=> apply distance formula

[tex]\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\sqrt{\left(2-\left(-6\right)\right)^2+\left(4-0\right)^2}[/tex]

[tex]4\sqrt{5}[/tex]

Calculate length of P(-6,0) Q(-3,4)

[tex]\sqrt{\left(-3-\left(-6\right)\right)^2+\left(4-0\right)^2}[/tex]

= 5

5(PQ) = 5(QR)

Answer:

  (c)  (1, 3)

Step-by-step explanation:

The solution to the system of equations shown on the graph is the point where the lines intersect.

__

The coordinates of the point of where the lines cross are (1, 3).

The solution to the system of equations is (x, y) = (1, 3).

Answer:

if there were 8 cats then theres 8 cats, or 32 dogs

Step-by-step explanation:

The law used for determining the measure of unknown sides and angles of a triangle. The measure of the largest angle in triangle abc is 98.25 degrees

The law used for determining the measure of unknown sides and angles of a triangle. It is expressed as:

c² = a² + b² - 2abcosC

Given the following

c = 16

a = 12

b = 9

Substitute

16² = 12² + 9² - 2(9)(12)cosC

256 = 144 + 81 - 216cosC

31 = -216cosC

cosC = -31/216

C = 98.25 degrees

Hence the measure of the largest angle in triangle abc is 98.25 degrees

Learn more on cosine rule here:  https://brainly.com/question/23720007

#SPJ4

Using the together rate, it is found that it will take 1.71 hours for Bella and Jordan to rake the leaves.

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Hence:

[tex]\frac{1}{x} = \frac{1}{3} + \frac{1}{4}[/tex]

[tex]\frac{1}{x} = \frac{4 + 3}{12}[/tex]

[tex]x = \frac{12}{7}[/tex]

x = 1.71.

It will take 1.71 hours for Bella and Jordan to rake the leaves.

More can be learned about the together rate at https://brainly.com/question/25159431

#SPJ1

Answer:

64

Step-by-step explanation:

This is a kite. Kite's diagonals are perpendicular. Since they are perpendicular, they form a 90° at where the two diagonals intersect.

The sum of all degrees for a triangle is 180. 180 - 90 - 26 = 64

5ax+6ax=7ax+8

5ax+6ax-7ax=8

4ax=8

x= 8/4a

x=2a

The correct match of each tile of the equation with its solution is:

To match each tile to the correct box, we have to solve the arithmetic operations in the box, then drag the correct tile that matches our answer into the box.

From the image attached below;

1.

n - 13 = - 12

Let us add (+13) to both sides to eliminate (-13), i.e.

n - 13 + 13 = - 12 + 13

n = 1

2.

n/5 = -1/5  

multiply both side by 5

n/5 × (5) = -1/5 × (5)

n = -1

3.

n + 15 = - 10

n +15 - 15 = - 10 - 15

n = -25

Learn more about matching each tile to the correct box here:

https://brainly.com/question/17203448

#SPJ1

Answer:

6 ft 1 in

Step-by-step explanation:

if you divide 73in by 12 you get 6ft 1in

Answer:

All the GCFs look good!  Here's the simplified fractions:

Step-by-step explanation:

1. 2/3

2. 3/4

3. 3/7

4. 3/16

5. 27/29

6. 4/11

7. 2/11

Simply divide the numerator by the GCF to find the simplified numerator, and the denominator by that same GCF to find the simplified denominator!

Answer:

[tex]13.\overline 3[/tex]

Step-by-step explanation:

We can use proportions to find the amount of water needed

Let [tex]x[/tex] be the amount of water needed

[tex]\frac{3}{2} = \frac{20}{x}[/tex] (with the ratio being 3 powder to 2 water)

Now we can cross multiply and solve for [tex]x[/tex]

[tex]3(x) = 20(2)\\3x = 40\\x = \frac{40}{3}\\ x = \boxed{13.\overline3}[/tex]

You will need [tex]13.\overline3[/tex] grams of water to make the flavored drink.

Answer:

19

Step-by-step explanation:

7x +2 = 135. Vertically opposite angles

7x=133

x=19

The mean number is 8.7 and the outliers 1 and 2 reduce the mean value

The dataset is given as:

10, 12, 8, 11, 13, 9, 2, 1, 9, and 12​.

The mean number is calculated using:

Mean = Sum/Count

So, we have:

Mean = (10+ 12+ 8+ 11+ 13+ 9+ 2+ 1+ 9+12​)/10

Evaluate

Mean = 8.7

Hence, the mean number is 8.7

Outliers are relatively far from other data elements of the dataset

In the given dataset, 1 and 2 are far from other data element.

So, the outliers are 1 and 2

Because 1 and 2 smaller than other data elements, they affect the mean by reducing the mean value

Read more about outliers at:

https://brainly.com/question/3631910

#SPJ1

Answer:87/10 is the answer because there are no tens

Step-by-step explanation: