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Artyom0805 [142]
4 years ago
14

each song cost 2 dollars plus 5 dollars she has no more then 40 dollars to spend which inequality shows how many songs she can b

uy
Mathematics
1 answer:
alexgriva [62]4 years ago
6 0
What are the answer choices so i can see which one is right?
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Does anyone knows how to do this? ​
dedylja [7]

Answer:

(a) i) Vector BC = 3/2 a + 5b

ii) Vector AM = 15/4 a + 5/2 b

(b) Vector QP = -15/4 b where k = -15/4

Step-by-step explanation:

* Lets explain how to solve this problem

∵ ABCD is a trapezium

∵ AB // DC

∵ The vector AB = 3a

∵ Vector DC = 3/2 vector AB

∴ Vector DC = 3/2 × 3a = 9/2 a

∵ Vector AD = 5b

(a)

i) ∵ Vector BC = vector BA + vector AD + vector DC

∵ Vector AB = 3a , then vector BA = -3a

∵ Vector AD = 5b , vector DC = 9/2 a

∴ Vector BC = -3a + 5b + 9/2 a = (-3a + 9/2 a) + 5b

∴ Vector BC = 3/2 a + 5b

ii) ∵ Vector AM = vector AB + vector BM

∵ M is the mid-point of BC

∴ Vector BM = 1/2 vector BC

∵ Vector BC = 3/2 a + 5b

∴ Vector BM = 1/2(3/2 a + 5b) = (1/2 × 3/2) a + (1/2 × 5) b

∴ Vector BM = 3/4 a + 5/2 b

∴ Vector AB = 3a

∴ Vector AM = 3a + 3/4 a + 5/2 b = (3a + 3/4 a ) + 5/2 b

∴ Vector AM = 15/4 a + 5/2 b

(2)

∵ 7 DQ = 5 QC ⇒ divide both sides by 7

∴ DQ = 5/7 DC

∴ The line DC = 7 + 5 = 12 parts ⇒ DQ 5 parts and QC 7 parts

∵ DQ = 5/12 DC

∵ Vector DC = 9/2 a

∴ Vector DQ = 5/12 (9/2 a) = 45/24 a ⇒ divide up and down by 3

∴ Vector DQ = 15/8 a

∵ P is the mid point of AM

∴ Vector AP = 1/2(15/4 a + 5/2 b) = (1/2 × 15/4) a + (1/2 × 5/2) b

∴ Vector AP = 15/8 a + 5/4 b

∵ Vector QP = QD + DA + AP

∵ Vector DQ = 15/8 , then vector QD = -15/8 a

∵ Vector AD = 5b , then vector DA = -5b

∴ Vector QP = -15/8 a + -5b + 15/8 a + 5/4 b

∴ Vector QP = (-15/8 a + 15/8 a) + (-5b + 5/4 b)

∴ Vector QP = -15/4 b

∵ -15/4 is constant

∴ Vector QP = k b ⇒ proved

8 0
3 years ago
Janet is fencing a triangular portion of her yard, which has measurements as shown. She needs fencing for the two sides of the y
PtichkaEL [24]

The approximate length of fencing she needs will be 41.42 feet. Then the correct option is D.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Janet is fencing a triangular portion of her yard, which has measurements as shown.

She postulates fencing for the two sides of the yard that do not include the house.

She also requires fencing for the third side of the yard, except for the portion taken up by the house.

Then the approximate length of fencing she needs will be

Let x be the length of fencing.

Then we have

⇒ x + 100 + 100

Then we have

x = c – 100

Then the value of c is given by the Pythagoras theorem. Then we have

c² = 100² + 100²

c² = 10000 + 10000

c² = 20000

c = 141.42 ft

Then the value of x will be

x = 141.42 – 100

x = 41.2 feet ≈ 41 feet

Then we have

⇒ 41 + 100 + 100

⇒ 241

Then the correct option is D.

More about the geometry link is given below.

brainly.com/question/7558603

#SPJ1

6 0
2 years ago
Write the x-intercept of the graph of 2x − y = 5.
GalinKa [24]

Answer:

y=-5+2x

explenation:y=-5+2x

3 0
3 years ago
Read 2 more answers
HELP PLSSS giving out the brainliest answer !!! help asap !!!
GrogVix [38]

Answer:

A 45/28

Step-by-step explanation: because a tangnt  means a a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.  so 45 and 28 are on it so it has to be A

3 0
3 years ago
Find the quotient.<br> 2 divided by 5:6
HACTEHA [7]
Put 2 over one and multiply it by 6 over 5
3 0
3 years ago
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