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4 years ago

Write an equation perpendicular to the line y=3/2x-2 that goes through (-4,3)

Mathematics

1 answer:

Goryan [66]4 years ago

4 0

Answer: y=-2/3x-2/3

Step-by-step explanation:

concept to know: two lines that are perpendicular has opposite reciprocal slopes.

y=-2/3x+b

in order to find b or the y-intercept, we need to plug in a point

3=-2/3(-4)+b

3=8/3+b

b=-2/3

y=-2/3x-2/3

Hope this helps!! :)

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A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute. After 1.5 minutes, the balloon is at an al

azamat

Answer:

The balloon will not reach 2,500 feet after 4 minutes.

Step-by-step explanation:

The equation of the line in the point-slope form is

$y-y_1=m(x-x_1)$

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is

$m=120$

After $x_1=1.5$ minutes, the balloon is at an altitude of $y_1=2,150$ feet. This means, the line passes through the point (1.5, 2,150).

Substitute the slope and point coordinates into the equation:

$y-2,150=120(x-1.5)$

We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:

$2,330-2,150=180\\ \\120(3-1.5)=120\cdot 1.5=180\\ \\2,330-2,150=120(3-1.5)$

Now, find the height after 4 minutes:

$y-2,150=120(4-1.5)\\ \\y=120\cdot 2.5+2,150=300+2,150=2,450$

Thus, the balloon will reach only 2,450 feet after 4 minutes.

4 0

3 years ago

Which pair of expressions is equivalent to each other?

Nikolay [14]

Answer:

Step-by-step explanation:

4 X 4 X 4 X 4 X 4 and 4⁵

we can write 4 X 4 X 4 X 4 X 4 like 4⁵

4 X 4 X 4 X 4 X 4 = 4⁵

6 0

3 years ago

Read 2 more answers

Which is bigger 3/4 or 2/3

tia_tia [17]

When we make it into a common denominator, find a common multiple between the denominators. For this instance, it is 3/4=9/12 2/3=8/12 When we see it with a common denominator, 3/4 is bigger than 2/3.

8 0

3 years ago

Read 2 more answers

Calculate the percent of change: 50 pounds to 35 pounds.

Vladimir [108]

30 percent change is the answer

7 0

3 years ago

Answer all please.....^

postnew [5]

#4) 1/6
#5) 1/2
#6) 4/15
#7) 8/15
#8) 11/15
#9) 12
#10) 15
#11) 112

Explanation
#4) There is one section marked 5 out of 6 sections.

#5) There are three odd-numbered sections out of 6 sections.

#6) 2 blue were tossed 4 times out of 15 tosses.

#7) 1 blue and 1 pink were tossed 8 ties out of 15 tosses.

#8) All blue was tossed 4 times out of 15; this means that all blue was not tossed 15-4=11 times out of 15.

#9) There are 4 choices for location and 3 choices for transportation; 4(3) = 12.

#10) There are 3 choices for level and 5 choices for character; 3(5) = 15.

#11) Since 30% are rock, 100%-30% = 70% are not rock. 70% = 70/100 = 0.7; 0.7*160 = 112.

8 0

3 years ago