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valentina_108 [34]
3 years ago
14

SHOW STEPS!! 4. x + 4y -- 67 = -1 2x - y + 2z = -7 -x + 2y -- 43 = 5

Mathematics
1 answer:
mafiozo [28]3 years ago
3 0
1.x+4y- - 67 =-1
x+4y+67=-1
x+4y=-1-67
X+4y=-68

2.2x-y+2z=-7
2x=-7+y-2z
x=-7/2+1/2y-z
x=-7/2+1/2y-z, y€R, z€R

Warning: I don’t have the € and R

3.-x+2y- -43=5
-x+2y+43=5
-x+2y=5-43
-x+2y=-38
x-2y=38

Hope this helps!
Please mark me brainliest if possible
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Find the slope of the line satisfying the given conditions
stiv31 [10]

Answer:

a) The slope of the line is -\frac{12}{5}

b) The slope of the line is 1

Step-by-step explanation:

The rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m = \frac{y2-y1}{x2-x1}

a)

∵ The line passes through points (-3, 4) and (2, -8)

∴ x1 = -3 and y1 = 4

∴ x2 = 2 and y2 = -8

→ Substitute them in the rule of the slope above to find it

∵ m = \frac{-8-4}{2--3} = \frac{-12}{2+3} =  \frac{-12}{5}

∴ m = -\frac{12}{5}

∴ The slope of the line is -\frac{12}{5}

b)

∵ The line passes through points (5, -3) and (1, -7)

∴ x1 = 5 and y1 = -3

∴ x2 = 1 and y2 = -7

→ Substitute them in the rule of the slope above to find it

∵ m = \frac{-7--3}{1-5} = \frac{-7+3}{-4} = \frac{-4}{-4}

∴ m = 1

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3 0
3 years ago
A small family home in Tucson, Arizona has a rooftop area of 1967 square feet, and it is possible to capture rain falling on abo
lesya692 [45]

Answer:

Required of volume of tank = 39.62 m3 or 10471.18   gallons

Step-by-step explanation:

Total volume of water collected = Annual Rainfall * Useful Area

Total volume of water collected = 1199.87 * 1.1667

Total volume of water collected = 1399.89 ft3

---1 ft3 = 7.48 gallons

Hence, total volume of water collected in gallons = 1399.89 * 7.48 = 10471.178  gallons

----1 ft3 = 1/35.315 m3 = 0.0283 m3  

Therefore total volume of water collected in m3 = 1399.89 * 0.0283 = 39.6169 m3

Workings

Useful area = 61% of 1967

Useful area = 0.61 * 1967

Useful area = 1199.87 sq/ft.

Annual rainfall = 14 inch = 14/12 month

Annual rainfall = 1.1667 ft.

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4 years ago
Find the area <br><br> Help me please
Brrunno [24]

Answer:

72

Step-by-step explanation:

You add the base which is 8 and 18 then multiply by 11 which is 144. after that you divide by two and get your answer 72

5 0
3 years ago
A film club initially had 300 members. However, its membership has since decreased by 6% each year. How many members did the clu
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F(x) = 300(1-.06)^5
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You can’t answer it with the amount of information you provide!
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