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RUDIKE [14]
3 years ago
9

(a) find parametric equations for the line that passes through the point (−2, 5) and is parallel to the vector <3, −8>. (e

nter your answer as a comma-separated list of equations where x and y are in terms of the parameter t.)
Mathematics
1 answer:
Fittoniya [83]3 years ago
6 0
= <-2 +3t, 5 -8t>

Multiply the direction vector by the parameter and add it to the given point.
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Andy's weight is 5 kilograms less than twice his brother's. Together they weigh 100 kilograms. What are their weights?
lakkis [162]

Answer:

Step-by-step explanation:

Let x be the brother's weight.

Then 2x-5 is Andy's weight.

x+(2x-5)=100

3x-5=100

3x=105

4 0
3 years ago
Pastries made out of filo dough are brushed with either olive oil or butter (but not both). Pastries made out of shortcrust doug
givi [52]

Answer:

3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter

Step-by-step explanation:

Rashid pastries (R)

Mikhail pastries (M)

Rashid and Mikhail submitted a total of x pastries

R+M=x (I)

Rashid made 2/3 as many pastries as Mikhail

(2/3)*R=M (II)

Using II in I

R+(2/3)*R=x

(5/3)*R = x

R=(3/5)*x (III)

Using III in I

(3/5)*x+M=x

M=x-(3/5)*x

M=(2/5)*x (IV)

Mikhail filo dough (MF)

Mikhail shortcrust dough (MS)

Rashid filo dough (RF)

Rashid shortcrust dough (RS)

Mikhail used filo dough for all of his pastries

MF=M

MS=0

Rashid used shortcrust dough for all of his pastries

RS=R

RF=0

Filo dough (FD)

FD=RF+MF=0+MF=MF=M (V)

5/8 of the filo dough pastries were brushed with olive oil

pastries brushed with olive oil (OI)

(5/8)*FD=OI

Using V

(5/8)*M=OI

Using IV

(5/8)*(2/5)*x=OI

(1/4)*x=OI (VI)

pastries brushed with butter (B)

Pastries made out of filo dough are brushed with either olive oil or butter (but not both)

FD=OI+B

B=FD-OI

Using V and VI

B= M - (1/4)*x

Using IV

B = (2/5)*x - (1/4)*x

B= (3/20)*x

3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter

5 0
3 years ago
Determine whether the ratios 35 feet every 15 seconds and 7 feet every 2 seconds are equivalent.
murzikaleks [220]

Answer:

Step-by-step explanation:

Find the rate of those two statements:

28 ÷ 16 = 1.75

1.75 ft per seconds

7 ÷ 4 = 1.75

1.75 ft per seconds

Two statements have the same rate, therefore 28 feet every 16 seconds and 7 feet every 4 seconds are equivalent

5 0
2 years ago
Implicit differentiation!! Please help !! Ignore what i put
notsponge [240]

Answer:

thanks thanks thanks thanks thanks for your points

7 0
2 years ago
Deana bought 12 packages of batteries. Some of the packages contained 4 batteries and some contained 6 batteries. She bought a t
NARA [144]

Answer:

She bought 7 battery packs containing 6 batteries

Step-by-step explanation:

4bx5= 20 batteries

6bx7=42 batteries

42+20=62

7 0
3 years ago
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