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Softa [21]
3 years ago
10

(a) Draw the vectors a=[3, 2], b=[2,-1], and c=[7, 1]. (b) Show, by means of a sketch, that there are scalars s and t such that

c=sa+tb. (c) use the sketch to estimate the values of s and t. (d) Find the exact values of s and t.
Mathematics
1 answer:
UNO [17]3 years ago
4 0

Answer:

4

Step-by-step explanation:

s is 2,1 t is 1

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vlabodo [156]

Answer:

(9.5, 0) is in quadrant I. (-4, 7) is in quadrant II. (-1, -8) is in quadrant III.

Step-by-step explanation:

The negative signs say everything (quite literally). If there are no negative signs, it is in quadrant I. If there is one in the x-axis (the first number in an ordered pair), it is in quadrant II. If there are 2 negative signs, it is in quadrant III, and if there is one in the y-axis (the second number in an ordered pair), it is in quadrant IV.

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3 years ago
Write an equation of the line that passes through the given points. (-1,7) (3,-9)
Novay_Z [31]

Answer:

x=13

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3 years ago
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The graph below shows a system of equations: Draw a line labeled y equals minus x plus 5 by joining the ordered pairs 0, 5 and 5
Montano1993 [528]

Answer:

The x-coordinate of the solution is x=3

Step-by-step explanation:

we have

y=-x+5 ------> equation A

y=x-1 ------> equation B

Solve the system of equations by substitution

Substitute equation B in equation A and solve for x

x-1=-x+5

x+x=5+1

2x=6

x=3

Find the value of y

y=x-1  ------> y=3-1=2

The solution of the system of equations is the point (3,2)

therefore

The x-coordinate of the solution is x=3

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2 years ago
How many solutions does the system of equations have y=5x+7 and 3y-15x=18
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Hello there.

<span>How many solutions does the system of equations have y=5x+7 and 3y-15x=18

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3 years ago
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A truck can be rented from Company A for ​$70 a day plus ​$0.50 per mile. Company B charges ​$20 a day plus ​$0.60 per mile to r
r-ruslan [8.4K]

Answer:

The rental cost for Company A and Company B will be the same after 500 miles

Step-by-step explanation:

The total cost of renting a truck from Company A can be expressed as;

Total rental cost(Company A)=Cost per day+Total rate

where;

Cost per day=70

Total rate=rate per mile×number of miles (m)=(0.5×m)=0.5 m

replacing;

Total rental cost(Company A)=70+0.5 m...equation 1

2. The total cost of renting a truck from Company B can be expressed as;

Total rental cost(Company B)=Cost per day+Total rate

where;

Cost per day=20

Total rate=rate per mile×number of miles (m)=(0.6×m)=0.6 m

replacing;

Total rental cost(Company B)=20+0.6 m...equation 2

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The rental cost for Company A and Company B will be the same after 500 miles

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3 years ago
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