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3 years ago

A line perpendicular to 3x + 2y = 18 has a slope of .

Mathematics

1 answer:

meriva3 years ago

4 0

Answer:

2/3

Step-by-step explanation:

A line perpendicular to another line has a opposite reciprocal slope.

For example, if a line has a slope of 5, then the perpendicular line will have a slope of -1/5.

First, put the formula into slope intercept form:

3x + 2y = 18

2y = -3x + 18

y = -3/2x + 9

Because this line has a slope of -3/2, the perpendicular line will have a slope of 2/3.

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Carson is going to see a movie and is taking his 2 kids. Each movie ticket costs

Kisachek [45]

49 dollars

Step-by-step explanation:

14 times 3 is 42 and 3.50 times 2 is 7, so 42 plus 7 is 49.

6 0

3 years ago

Keith drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Keith drove

Phantasy [73]

Answer:

Keith live 280 miles far way from the mountains.

Step-by-step explanation:

Consider the provided information.

Keith drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours.

Let the distance is D and average rate or speed is x miles.

$Distance =Speed\times Time$

Substitute the respective values.

$D=x\times 8\\D=8x$

When Keith drove home, there was no traffic and the trip only took 5

hours. The average rate was 21 miles per hour faster on the trip home,

The average rate or speed during return is x+21 miles.

Substitute the respective values in the above formula.

$D =(x+21)\times 5\\D=5x+105$

Equate both the equations.

$5x+105=8x\\3x=105\\x=35$

Substitute the value of x in $D=8x$

$D=8(35)\\D=280$

Hence, Keith live 280 miles far way from the mountains.

7 0

3 years ago

There are 18 boys and 24 girls on a swimming team.The instructor wants to divide them into groups of equal size with the greates

il63 [147K]

Answer:

Put them in 2 teams. 18 boys so 9 in each group. 24 girls so 12 in each group.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Juan brought 4 Tshirts and leather jacket. The T shirts were all the same price, and the price of the leather jacket was 6 times

Alex

Let us say that:

x = the number of T shirts bought = 4

y = the number of leather jackets bought = 1

a = the price of the T shirts

b = the price of the leather jackets

With the given variables, we can say that the total cost is:

total cost = a x + b y

Since, b = 6 a, therefore:

total cost = a x + 6 a y

total cost = a (x + 6 y)

Since total cost is 209, therefore we can calculate for a since x and y are also given:

209 = a (4 + 6 * 1)

209 = a (10)

a = $20.9

<span>Therefore each T shirt cost $20.9</span>

7 0

3 years ago

Rewrite the equation in vertex form. Name the vertex and y-intercept. y = x^2 – 10x + 15

denis-greek [22]

Y = x² - 10 x + 15 =
= (x² - 10 x + 25) - 25 +15=
= ( x - 5 )² - 10
Answer: y = ( x - 5 )²-10
vertex: (5, -10)
y - intercept: ( 0,15)

5 0

3 years ago

Read 2 more answers