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3 years ago

Find the equation of the straight line passing through the point (3, 3) which is perpendicular to the line y=-x-4

1 answer:

5 0

Answer: y=x
The slope of the perpendicular line is the opposite reciprocal. So you do -(-1/1) which equals 1. So now we have y=x+b. Plug (3,3) into this and you get 3=3+b. So b=0 and the equation is y=x

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A cone-shaped building has a height of 11.4 meters and a base with a diameter of 12 meters. The building will be filled with roa

Lyrx [107]

We know, Volume of a Cone = πr² h/3
v = 3.14 * (6)² * 11.4/3
v = 3.14 * 36 * 3.8
v = 429.552

Now, for 1 m³, it costs = $20
So, for 429.552 m³, it will be: 20 * 429.552 = 8591

In short, Your Answer would be $8591

Hope this helps!

3 0

3 years ago

Read 2 more answers

Solve x2 – 8x + 15 < 0. Select the critical points for the inequality shown.

quester [9]

Answer:

x=3,5

Explanation:

x2−8x+15=0

Try to express the terms of the equation in square form.

Adding 16 both sides of the equation,

(x2−2⋅x⋅4+42)+15=16

or,(x−4)2+15−16=0

or,(x−4)2−1=0

or,(x−4)2−12=0

This is the a2−b2=(a+b)(a−b)form.

(x−4+1)(x−4−1)=0

or,(x−3)(x−5)=0

Now, equate both the terms to zero since both of them when multiplied, give zero.

Either,

x−3=0

∴x=3

Or,

x−5=0

∴x=5

Ans:x=3,5 Hope this helpsXD...!!

4 0

2 years ago

Read 2 more answers

What time is 5 3/4 hours after 11:32 pm? Please show work, thank you.

poizon [28]

we have to first convert fraction of hours into minutes

1 hour is equivalent to 60 minutes

then 3/4 hour is - 3/4 of 60

when the of function is used we have to multiply the 2 numbers

then $\frac{3}{4} * 60 = \frac{3*60}{4} = \frac{180}{4} = 45$

3/4 of an hour is equivalent to 45 minutes

then we have to add 5 hours and 45 minutes to 11.32 pm

add 5.45 to 11.32

11.32

5.45 +

-------

16.77

then its 16 hours and 77 minutes

an hour has only 60 minutes so we subtract 60 minutes from 77 minutes and add that hour to 16 hours

16 hours + 1 = 17 hours

77 minutes - 60 minutes = 17 minutes

17 hours 17 minutes

time is given in pm therefore its a 12 hour clock

so we have to subtract 12 hours from 17 hours 17 minutes

17.17 hours - 12 hours = 5.17

the new time is 5.17 am of the next day

8 0

3 years ago

Read 2 more answers

Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4 y=

stellarik [79]

Correct answer: y = $\frac{1}{3}$ x + 2

To find out the slope, you would need to remember this slope formula: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ . We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as $x_{1}$ and $y_{1}$ , and (0, 2) as $x_{2}$ and $y_{2}$ . Now we can plug these numbers into the slope formula to find out the slope:

m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ → $\frac{2-3}{0-3}$ → $\frac{-1}{-3}$ → $\frac{1}{3}$

To find out the y-intercept, just substitute (3, 3) into the slope-intercept formula ( y = mx + b ) with the slope that is substituted for 'm' that we already solved earlier.

y = mx + b

(3) = $\frac{1}{3}$ (3) + b

3 = 1 + b

2 = b

You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.

Now we know that m = $\frac{1}{3}$ and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y = $\frac{1}{3}$ x + 2.

Hope this helps you! Let me know if you have any more questions related to this problem.

3 0

3 years ago

I need help with #10!

DiKsa [7]

Answer: 6 years old.

Step-by-step explanation:

For this exercise let "x" represents your present age.

According to the information provided in the exercise, you know that In three years, Chad will be three times your present age.

Then, your age in three years can be represented with the following expression:

$x+3$

Knowing at that time Chad's age will be three times yours and you will be half as old as old as Chad, you can write the following equation to represent this situation:

$x+3=\frac{3x}{2}$

Therefore, the final step is to solve for "x" in order to find its value.

You get that this is:

$2(x+3)=3x\\\\2x+6=3x\\\\6=3x-2x\\\\x=6$

7 0

3 years ago

Find the equation of the straight line passing through the point (3, 3) which is perpendicular to the line y=-x-4​

Find the equation of the straight line passing through the point (3, 3) which is perpendicular to the line y=-x-4