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astraxan [27]
3 years ago
8

An architect is designing a house for the Frazier family. The Fraziers have asked that the cost of

Mathematics
1 answer:
PolarNik [594]3 years ago
8 0

Answer:

║x - 175,000║≤ 20,000

Step-by-step explanation:

Let x be the amount the Fraziers are willing to pay. Since the house costs $175,000 and they are willing to deviate from this price no more than $20,000, so x =  $175,000 ± $20,000.

So, x - 175,000 = ± 20000

║x - 175,000║= 20,000

But we require  

║x - 175,000║≤ 20,000

which is our required open sentence.

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Find the equation of the line which is perpendicular to the line y=− 1 3 x+6 through the point (2,4)
nikklg [1K]

The equation of the perpendicular line is   13y=27-x

Step-by-step explanation:

Writing the given equation to slope-intercept form.

y=− 1 3 x+6

The slope of this line is 13

The perpendicular slope is -1/13

Using  the new slope and the given point into the slope-intercept form to find the y-intercept.  

4=-1/13(2)+c

2=-1/13+c

c=27/13

 y=-1/13x+27/13

So the equation of the perpendicular line is 13y=27-x

5 0
3 years ago
Read 2 more answers
Find the value of R so the line that passes through each pair of points has the given slope ( -12, R ), ( 5 , -3), m = 2
KengaRu [80]

Answer:

-37

Step-by-step explanation:

1) to find the equation of the given line (its slop-interception form is y=mx+i, where m - slop, i - interception):

a) y=2x+i, where m=2;

b) it is possible to calculate the value of 'i' after the substitution the point (5;-3) into the equation y=2x+i:

-3=2*5+i; ⇒ i= -13;

c) the equation of the given line is y=2x-13.

2) to calculate the value of 'R':

if to substitute the point (-12;R) into the equation y=2x-13, then

R=2*(-12)-13; ⇒ R= -37.

5 0
3 years ago
Help pls, will choose brainliest if explanation is provided
Nookie1986 [14]

Answer:

solve \: when \: (f + g) \:(4) \\   \\ first \: solve \: for \: f(x) \\ \:  \\  solution  \: .... \\  \\ f(x) = 4x - 3 \\ f(4) = 4(4) - 3 \\ f(4) = 16 - 3 \\ f(4) = 13 \\  \\  \\ now \: solve \: for \: g(x) \\  \:  \\ solution \: .... \\  \\ g(x) =  {x}^{3}  + 2x \\ g(x) =  {(4)}^{3}  + 2(4) \\ g(x) = 64 + 8 \\ g(x) = 72 \\  \\ (f) - (g) = 13 - 72 \\ (f) -(g) = -59

8 0
3 years ago
What is the value of [-1.1]
Scilla [17]
If it's absolute value, then it is 1.1
Just the positive number.
5 0
3 years ago
Read 2 more answers
Thank you for your help. The question is in the screenshot
lapo4ka [179]

Answer:

Hi,

Step-by-step explanation:

Using the pythagorean theorem , let's calculate the apothem of a side:

a²=26²-10²=57=24²

Area of a side: 24*10*2/2=240 (ft²)

Lateral area=240*4=960(ft²)

Area of the base: 20²=400 (ft²)

Total area=1360(ft²)

8 0
2 years ago
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