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3 years ago

Write the equation of the line parallel to y=-2/3x+4 and through the point (–3, 15)

Mathematics

2 answers:

MrRa [10]3 years ago

6 0

Parallel = same slope
y = -2/3x + b
Plug in point
15 = -2/3(-3) + b
15 = 2 + b, b = 13
Solution: y = -2/3x + 13

sukhopar [10]3 years ago

4 0

Answer:

y=-2/3x+17

Step-by-step explanation:

y=-2/3x+4

slope of that line is -2/3

y-y1=m(x-x1)

(-3,15)

y-15=-2/3(x-(-3))

y-15=-2/3x+2

y=-2/3x+17

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A plane traveled 1463 miles to Moscow and back. The trip there was with the wind. It took 11 hours. The trip back was into the w

Studentka2010 [4]

The speed of plane is 105 miles per hour and speed of wind is 28 miles per hour.

Step-by-step explanation:

Given,

The distance traveled by plane = 1463 miles

The trip with the wind took 11 hours.

The trip took 19 hours against the wind.

Let,

s be the speed of plane and w be the speed of wind.

Therefore;

Speed with the wind = s+w

Speed into the wind = s-w

We know that;

Distance = Speed * Time

Therefore;

Equation for trip taken with wind.

1463 = 11(s+w)

Dividing both sides by 11

$\frac{1463}{11}=\frac{11(s+w)}{11}\\133=s+w\\s+w=133\ \ \ Eqn\ 1$

Equation for trip taken into the wind

1463 = 19(s-w)

Dividing both sides by 19

$\frac{1463}{19}=\frac{19(s-w)}{19}\\77=s-w\\s-w=77 \ \ \ Eqn\ 2$

Adding Eqn 1 and 2

$(s+w)+(s-w)=133+77\\s+w+s-w=210\\2s=210$

Dividing both sides by 2

$\frac{2s}{2}=\frac{210}{2}\\s=105$

Putting s=105 in Eqn 1

$105+w=133\\w=133-105\\w=28$

The speed of plane is 105 miles per hour and speed of wind is 28 miles per hour.

3 0

3 years ago

Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio stati

V125BC [204]

The next time the stations will play the song at the same time would be at 4:12 P.M. because 18×4=72 and 24×3=72 and this is the first number that they share.

3 0

3 years ago

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William works at a nearby electronics store. He makes a commission of 8%, on everything he sells. If he sells a laptop for $773.

kupik [55]

773.00(8/100)

6184.00/100

$61.84

5 0

3 years ago

Write out the work you would do to solve for the shaded space, including the answer . Please help me

mihalych1998 [28]

Answer:

As shown in picture, shaded space area:

A = outer rectangle area - inner rectangle area

= 11 x 8 - 9 x 6

= 88 - 54

= 34 (yd2)

Hope this helps!

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3 years ago

Read 2 more answers

(a) A mixed hockey team of 11 must have at least 5 boys and at least 5 girls. There are 7 boys and 8 girls available for selecti

guajiro [1.7K]

Answer:

A) I) 49 teams

II)63 teams

B) 28 teams

Step-by-step explanation:

A) a team of 5 boys and 6 Girls

=7C5+ 8C6

= 21+28

= 49 teams

a team of 6 boys and 5 girls

= 7C6 + 8C5

= 7+56

= 63 teams

B) one girl is kept constant already and a guy has injury

Girls remaining to choose from 7

Boys remaining to choose from 6

= 1 +7C5 + 6C5

= 1+21+6

= 28 teams

5 0

3 years ago