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DENIUS [597]
3 years ago
7

find the equation of the line passes through the point (-1,2) and making an angle of 45° with the line x-y+1=0​

Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0

Answer:

Step-by-step explanation:

line given is x-y+1= 0

you can rewrite it in slope intercept y=mx+b where m is the slope, and b is the y-intercept where the line meets the y-axis

x-y+1 =0 subtract x and 1 from both sides of the equation

-y = -x-1 multiply both sides by -1

y = x+1 so the slope of this line is 1 and the y-intercept is 1

If you draw this line you can see that there are actually 2 lines that form 45° angles with y=x+1 and pass through (-1, 2), one is vertical x= -1 and one horizontal y =2

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una escalera de 12ft de longitud esta apoyada contra una pared, de modo que su base se encuentra a 4 ft de la pared a nivel del
Marrrta [24]

Answer:

Step-by-step explanation:

Altura = 11.312 pies

i) La escalera que descansa contra la pared formará un triángulo en ángulo recto.

ii) la escalera formará la hipotenusa del triángulo rectángulo dado por h = 12 pies.

iii) La base está dada por 4 pies.

iv) de la fórmula del triángulo en ángulo recto.

   base  = altura = \sqrt{hipotenusa^{2}\hspace{0.15cm}- \hspace{0.15cm} base^{2} }  = \sqrt{12^{2}\hspace{0.15cm} - \hspace{0.15cm}4^{2}  } = \sqrt{144\hspace{0.15cm} - \hspace{0.15cm}16} = \sqrt{128} = \hspace{0.15cm}8\sqrt{2} = 8\times1.414 = 11.312 pies

6 0
3 years ago
A large rectangular movie screen in an IMAX theater has an area of 8,364 square feet. Find the dimensions of the screen if it is
jeyben [28]

Answer:

The dimensions of the screen are

Length:102 feet

Width: 82 feet

Step-by-step explanation:

we know that

The area of the rectangle (movie screen) is equal to

A=LW

where

L is the length

W is the width

we have

A=8,364\ ft^2

so

8,364=LW ----> equation A

The screen is 20 feet longer than it is wide.

so

L=W+20 ---> equation B

substitute equation B in equation A

8,364=(W+20)W

solve for W

8,364=W^2+20W\\W^2+20W-8,364=0

solve the quadratic equation by graphing

the solution is W=82 ft

see the attached figure

Find the value of L

L=82+20=102\ ft

therefore

The dimensions of the screen are

Length:102 feet

Width: 82 feet

7 0
3 years ago
Suppose you know that 10% of 250 is 25. How could you use<br> that information to find 30% of 250?
Nookie1986 [14]

Answer:

triple the answer

Step-by-step explanation:

.1×250=25

.3×250= 75

25×3=75

7 0
3 years ago
A man was 24 years old when his son was born . Now he is three times as old as his son . So how old is his son
leonid [27]
The son is 8. I’m not sure if I’m right hope this helps
3 0
2 years ago
Read 2 more answers
Gina Chuez has considered starting her own custom greeting card business. With an initial start up cost of $1500, she figures it
nordsb [41]
1500 + 0.45x < 1.70x
1500 < 1.70x - 0.45x
1500 < 1.25x
1500/1.25 < x
1200 < x.....so she would have to sell 1201 cards to make a profit

8 0
3 years ago
Read 2 more answers
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