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viktelen [127]
3 years ago
11

The vectors <4,2> and <-4,-2> are opposite directions and are orthogonal to the vector u = <2,- 4>. That’s bec

ause the dot product of the vectors equals zero. True False
Mathematics
1 answer:
Naddik [55]3 years ago
5 0
This is true since the dot product is zero
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A prince picked a basketful of golden apples in the enchanted orchard. On his way home, he was stopped by a troll who guarded. T
Lelu [443]

Answer:

Let x = total number of apples picked by the prince

x=44

Step-by-step explanation:

1st troll payment

x-(0.5x+2)

x-0.5x-2

0.5x-2 (that is the amount of apples left after 1st troll payment)

2nd troll payment

(0.5x-2)-(0.5(0.5x-2)+2)

Simplifying,

(0.5x-2)-(0.25x-1+2)

(0.5x-2)-(0.25x+1)

0.5x-2-0.25x-1

0.25x-3 (apples remaining after 2nd troll payment)

3rd troll payment

(0.25x-3)-(0.5(0.25x-3)+2)=2

(0.25x-3)-(0.125x-1.5+2)=2

(0.25x-3)-(0.125x+0.5)=2

0.25x-3- 0.125x-0.5=2

0.125x-3.5=2

0.125x =2+3.5

0.125x=5.5

x=5.5/0.125 (divide both sides by 0.125)

=44 apples

Therefore total number of apples picked by the prince, x=44

3 0
3 years ago
Read 2 more answers
Please help! will give 30 points!
insens350 [35]

Answer:

Other needs =25,2 degrees

insurance = 100,8 degrees

Taxes= 7,2

Housing = 57,6

food= 57,6

childcare = 64,8

transportation = 46,8

Step-by-step explanation:

Its % of 360 degrees so you have to calculate the percentage of each categorie on 360 degrees to find the angles. Exemple, for the Other needs, you take 7% out of 360 degrees and you find that it is equal to 25,2. (7% x360 degrees /100)

7 0
3 years ago
What is the scale factor from ADEF to AABC?<br> 10<br> 6<br> 20<br> 12<br> А<br> 7<br> 14
tigry1 [53]

Answer:

The scale factor is 1/2

Step-by-step explanation:

Given

\triangle DE F and \triangle ABC

Required

The scale factor from \triangle DE F to \triangle ABC

Take a corresponding side in both triangles.

We have:

DE= 20     AB = 10

The scale factor from \triangle DE F to \triangle ABC is:

k =\frac{AB}{DE}

k =\frac{10}{20}

k =\frac{1}{2}

8 0
3 years ago
What is the value of the number one in 61
ikadub [295]
<span>the value of the number one in 61 is 1
hope it helps</span>
5 0
3 years ago
Read 2 more answers
A student is saving money to buy a microscope. The student currently has $50 and plans to save $15 every month. Write a function
Evgen [1.6K]

Answer:

Step-by-step explanation:

The student currently has $50 and plans to save $15 every month.

Let x represent the number of months that the student will save enough money to buy the microscope.

Let y represent the amount that the student saves after x months.

The function that represents the amount y (in dollars) of money that the student saves after x months will be

y = 50 + 15x

The 50 remains constant because she has already saved it

5 0
3 years ago
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