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Dmitrij [34]
2 years ago
9

Write an equation of each line in standard form with integer coefficients. y=4.2x+1.8

Mathematics
1 answer:
Firlakuza [10]2 years ago
3 0

Answer:   -21x + 5y = 9

Step-by-step explanation:

The standard form says that  Ax + By=C  

So to covert y = 4.2x + 1.8 into  subtract 4.2 from both sides.

    y = 4.2x + 1.8

-4.2x   -4.2x

-4.2x + 1y = 1.8       Now it is written in standard form and to make the decimals integers we will multiply both sides by 10.

-4.2x(10) + 1y(10) = 1.8(10)

-42x + 10y = 18  which reduces to -21x + 5y = 9

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If 2x – 1 is a factor of 16x4<br> 24x3 + 2x + f, find f.
Nastasia [14]

Answer:

f = -5

Step-by-step explanation:

If 2x – 1 is a factor of 16x4 + 24x3 + 2x + f, find f.

If 2x - 1 = 16x⁴ + 24x³ + 2x + f, find f.

2x - 1 = 0

2x = 1

x = 1/2

Hence

f(1/2) = 16(1/2)⁴ + 24(1/2)³ + 2(1/2) + f

= 16(1/16) + 24(1/8) + 1 + f

= 1 + 3 + 1 + f

= 5+ f

f = -5

7 0
2 years ago
How to do question 22?
Aleks04 [339]

Answer:

A = 20sinθ(6 + 5 cosθ)  cm²

Step-by-step explanation:

Drop perpendiculars DE and CF to AB.

Then, we have congruent triangles ADE and BCF, plus the rectangle CDEF.

The formula for the area of the trapezium is

A = ½(a + b)h

DE = 10sinθ

AE = 10cosθ

BF = 10cosθ

EF = CD = 12 cm

AB = AE + EF  + BF = 10cosθ + 12 + 10 cosθ = 12 + 20cosθ

A = ½(a + b)h

   = ½(12 +12 + 20 cosθ) × 10 sinθ

   =(24 + 20 cosθ) × 5 sinθ

   = 4(6 + 5cosθ) × 5sinθ

   = 20sinθ(6 + 5 cosθ)  cm²

6 0
3 years ago
A farmer leans a 12-ft ladder against a barn. The base of the ladder is 3 ft from the barn. To the nearest tenth, how high on th
DENIUS [597]

The barn, the ground, and the ladder form a right triangle. If we represent the height on the barn by y, then the Pythagorean theorem tells us

... hypotenuse² = (side1)² + (side2)²

... (12 ft)² = (3 ft)² + y² . . . . . . . . . . . . fill in given information

... 144 ft² - 9 ft² = y² = 135 ft² . . . . . .subtract (3 ft)²

... y = 3√15 ft ≈ 11.6 ft . . . . . . . . . . . take the square root

The ladder reaches 11.6 feet high on the barn.

4 0
3 years ago
Read 2 more answers
A recipe calls for the following spices: 18 teaspoon of turmeric, 18 teaspoon of ginger, and 14 teaspoon of cumin. What is the t
Sphinxa [80]

Answer:

50 total

Step-by-step explanation:

when it's asking for a total you add the numbers together, and whatever number you get is your answer :)

sorry if it's wronggg :( !!

7 0
3 years ago
4. For graduation, Diamond was able to buy her first car for $24,000. Her parents gave her a present and made a
s344n2d4d5 [400]

Answer:

$403.15

Step-by-step explanation:

Principal loan amount is the total amount minus down-payment:

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Knowing that n=12\times 6=72,P=23000, r=7.99\%/12=0.006658, the monthly payments can be calculated using the formula:

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Hence, the monthly payment is $403.15

3 0
2 years ago
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