What is the slope of the line that passes through the points E(5, 1) and F(2, 7)?
A) 8/3
B) 3/8
C) -3/8
D) -8/3

Answer:

The resultant of the given vectors by component method is [tex]\vec U = -8.222\,\hat{i}+35.664\,\hat{j}\,\,\,[km][/tex].

Step-by-step explanation:

First we define each vector by applying using rectangular form:

1) [tex]\|\vec E\| = 23\,km[/tex], 11º north of east.

[tex]\vec E = 23\,km\cdot (\cos 11^{\circ}\,\hat{i}+\sin 11^{\circ}\,\hat{j})[/tex] (Eq. 1)

2) [tex]\|\vec N\| = 25\,km[/tex], 24º east of north.

[tex]\vec N = 25\,km\cdot (\sin 24^{\circ}\,\hat{i}+\cos 24^{\circ}\,\hat{j})[/tex] (Eq. 2)

3) [tex]\|\vec G\| = 19\,km[/tex], 18º south of west.

[tex]\vec G = 19\,km\cdot (-\cos 18^{\circ}\,\hat{i}-\sin 18^{\circ}\,\hat{j})[/tex] (Eq. 3)

4) [tex]\|\vec R\| = 27\,km[/tex], 58º west of north.

[tex]\vec R = 27\,km\cdot (-\sin 58^{\circ}\,\hat{i}+\cos 58^{\circ}\,\hat{j})[/tex] (Eq. 4)

The resultant of given vectors is determined by vector sum, that is:

[tex]\vec U = \vec E + \vec N + \vec G + \vec R[/tex] (Eq. 5)

[tex]\vec U = 23\,km\cdot (\cos 11^{\circ}\,\hat{i}+\sin 11^{\circ}\,\hat{j})+25\,km \cdot (\sin 24^{\circ}\,\hat{i}+\cos 24^{\circ}\,\hat{j})+19\,km\cdot (-\cos 18^{\circ}\,\hat{i}-\sin 18^{\circ}\,\hat{j})+27\,km\cdot (-\sin 58^{\circ}\,\hat{i}+\cos 58^{\circ}\,\hat{j})[/tex]

[tex]\vec U = (23\,km\cdot \cos 11^{\circ}+25\,km\cdot \sin 24^{\circ}-19\,km\cdot \cos 18^{\circ}-27\,km\cdot \sin 58^{\circ})\,\hat{i}+(23\,km\cdot \sin 11^{\circ}+25\,km\cdot \cos 24^{\circ}-19\,km\cdot \sin 18^{\circ}+27\,km\cdot \cos 58^{\circ})\,\hat{j}[/tex]

[tex]\vec U = -8.222\,\hat{i}+35.664\,\hat{j}\,\,\,[km][/tex]

The resultant of the given vectors by component method is [tex]\vec U = -8.222\,\hat{i}+35.664\,\hat{j}\,\,\,[km][/tex].

Answer:

49, 35, 32

Step-by-step explanation:

A prime number is a number whose factors are 1 and itself

Eg 7

7 is a prime number because it only comes in table one and 7

Or it’s only factors are 1 and itself

A composite number comes in 1, itself and other tables

Eg. 16

It comes in table 1, 2, 4 and 16

Answer: 49,32,35.

Hope this helps!

Answer:

the slope is 4 and the y-intercept is -7

Step-by-step explanation:

Answer:

25 lollipops per minute

Step-by-step explanation:

900/36= 25

Hope this helps!

Answer:

25 lollipops wrapped per minute

Step-by-step explanation:

900/36=25

Have a great day!

Answer:The answer is 150%

Step-by-step explanation:

I just did this and got it correct:)Trust me this is correct!!

Answer:

150%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Question (1).

OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.

A). ∠OPS ≅ ∠RSU [corresponding angles]

B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]

C). m∠OPS + m∠OPN = 180° [Linear pair of angles]

D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]

    And m∠TSP + m∠TSU = 180° [Linear pair of angles]

Therefore, Option (A) is the correct option.

Question (2).

A). m∠RSP + m∠RSU = 180° [Linear pair of angles]

B). m∠RSP + m∠PST = 180° [Linear pair of angles]

C). ∠RSP ≅ ∠TSU [Vertically opposite angles]

D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]

Therefore, Option (C) will be the answer.

Answer:

C

Step-by-step explanation:

OQ and RT are parallel lines, while UN is a transversal that crosses both lines at two points. P and S are a couple.

A). RSU [corresponding angles] OPS

B). [Consecutive interior angles] mOPS + mRSP = 180°

C). [Linear pair of angles] mOPS + mOPN = 180°

D.) Since then, OPS TSP [Alternate Interior Angles] has been implemented.

And [Linear pair of angles] mTSP + mTSU = 180°

As a result, Option (A) is the right one.

Inquiry (2).

A). [Linear pair of angles] mRSP + mRSU = 180°

B). [Linear pair of angles] mRSP + mPST = 180°

C). [Vertically opposite angles] RSP TSU

D). [Consecutive interior angles] mRSP + mOPS = 180°

so it’s gonna have to be C

Answer:

when

[tex]x\ge 0[/tex]

then

[tex]x\times \left|x\right|=x^{2}[/tex]

Step-by-step explanation:

As we know that

When x is positive

[tex]\left|x\right|=\:x[/tex]

As from the question,

[tex]x\ge 0[/tex]

so the expression will be:

[tex]x\times \left|x\right|=x\times x=x^2[/tex]      ∵ [tex]x\ge 0[/tex] so [tex]\left|x\right|=\:x[/tex]

Therefore,

[tex]x\times \left|x\right|=x^{2}[/tex]

Answer:

Its area is 370 square centimeters.

Step-by-step explanation:

Step-by-step explanation:

non-proportiona

Answer:

y=1/5x  or y=.2x

Step-by-step explanation:

the constant=k the equation is always  y=kx  and if the constant of proportionality is 1/5 you would do  y=1/5x  or y=.2x

Answer:

C. y = one-fifth x

Step-by-step explanation:

I took the quiz

Answer:

C or  7 x 10 + 2 x 1 + 6 x 1/10+ 3 x 1/1000

Step-by-step explanation: just had this on the test

The correct expression for the expansion of 72.603 is 7 x 10 + 2 x 1 + 6 x 1/10 + 3 x 1/1000 (option 3rd)

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is a decimal number, 72.603

On expanding it, we get,

72.603 = 72 + 0.603

= 7 x 10 + 2 x 1 + 6 x 1/10 + 3 x 1/1000

Hence, the correct expression for the expansion of 72.603 is 7 x 10 + 2 x 1 + 6 x 1/10 + 3 x 1/1000

Learn more about expressions, click;

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Answer:

use papamath it will give u the anwers

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

Answer:

slope -1/3 and y-intercept is -1

Step-by-step explanation:

Answer:

We multiply the four factors and get 56

Step-by-step explanation:

Answer:

english plz

Step-by-step explanation:

Answer:

Es .25

Step-by-step explanation:

si es .25. Confía me

Answer:

w h a t

Step-by-step explanation:

Answer:

Step-by-step explanation:

chimpanzees, including the eating of colobus monkeys, by calling them (p3) ... times before the last 40,000-odd years, a time period which may ... metabolic limitation for humans of no more than 50% of calories to ... the evolutionary life span of our species, Homo sapiens, which is ... dead animals, from turtles to elephants.

Answer:

(4,2.5)

Step-by-step explanation:

Answer:

you're right, a=1 b=7 c=19

Step-by-step explanation:

Answer:

76°

Step-by-step explanation:

[tex] \because \: m \angle \: 1 = m \angle \: 12 \\ (exterior \: alternate \: \angle s) \\ \\ \therefore \: (5x + 44) \degree = (8x + 8) \degree \\ \\ \therefore \: 5x + 44 = 8x + 8 \\ \\ 5x - 8x = 8 - 44 \\ \\ - 3x = - 36 \\ \\ x = \frac{ - 36}{ - 3} \\ \\ \huge \red{x = 12} \\ \\ \because \: m \angle \: 12 = (8x + 8) \degree \\ \\ \therefore \: m \angle \: 12 = = (8 \times 12 + 8) \degree \\ \\ \therefore \: m \angle \: 12 = = (96+ 8) \degree \\ \\ \therefore \: \purple{m \angle \: 12 = 104 \degree} \\ \\ \because \: m \angle \: 10 + m \angle \: 12 = 180 \degree \\(linear \: pair \: \angle s) \\ \\ \therefore \: m \angle \: 10 + 104 \degree = 180 \degree \\ \\ \therefore \: m \angle \: 10 = 180 \degree - 104 \degree \\ \\ \huge \orange{ \boxed{\therefore \: m \angle \: 10 = 76 \degree }}[/tex]

Answer:

1/x^9

Step-by-step explanation:

I don't actually understand this question, but if you are asking (x^(-9)), then its the answer above

Answer:

s

Step-by-step explanation:

s

Table 4 is showing proportional relationship between weight and price.

The number or amount of a group or part of something when compared to the whole, is considered as proportionality.

Given that, a table of proportional relationship between weight and price;

If we consider table number 4,

We see, weight : price = 2 : 4 = 1 : 2

And, 4 : 8 = 1 : 2

Therefore, this is showing proportionality,

Hence, Table 4 is showing proportional relationship between weight and price.

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Answer:

-4/3

Step-by-step explanation:

you do change in y over change in x which is -1-3 over -3-(-6)

when you do the calculations you get -4/3

Answer:

[tex]y = -\frac {3}{2} x[/tex]

Step-by-step explanation:

Thankfully this passes through the origin so we already know the y = mx + b resultingly has no y-intercept, so we only need to find slope as b is 0 and thus is redundant to say y = mx + 0.

Now all that's left to find is slope which is how much it rises by and how much it runs by. putting it in as rise over run

Using two points that are on the grid, which are given to us, (0, 0) and (-2, -3)

The rise, change in y, is a decrease of 3 units, written as -3

The run, change in x, is a change of 2 units, written as 2

Therefore

m = Slope = rise/run = -3/2

Because it intercepts the y axis (0, #) at 0 (0, 0) the origin meaning we dont  write it in your slope-intercept formula, y = mx + b, is as follows

y = (-3/2)x

Hope this helps.

Answer:

the answer for this is 1.88 u just subtract

Answer:

=2.64

Step-by-step explanation: