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sergij07 [2.7K]
3 years ago
9

Find an equation in slope intercept for the line 3x-4y=7

Mathematics
1 answer:
Kay [80]3 years ago
3 0
<span>Slope-intercept form is represented with "y = mx+b". In this equation, 3x can be subtracted from both sides to isolate the y-term. This leaves -4y = -3x+7. Next, the signs can be flipped by multiplying by -1. This gives 4y = 3x-7. Finally, both sides can be divided by 4 to leave a final form of y = (3/4)x - (7/4).</span>
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What is the area of the shaded region?
USPshnik [31]

Answer:

Area of the whole rectangle = 11 x 12

= 132 cm^2

Area of the circle = πr^2

= 3.14 x 2 x 2

= 12.56 cm^2

Area of the shaded region = area of rectangle - area of circle

= 132 - 12.56

= 119.44 cm^2

Hope this helps!

7 0
3 years ago
75 - 3.5x - 4x = 4x + 6
stepladder [879]

Answer:

x = 6

Step-by-step explanation:

Step 1: Write equation

75 - 3.5x - 4x = 4x + 6

Step 2: Solve for <em>x</em>

  1. Combine like terms: 75 - 7.5x = 4x + 6
  2. Add 7.5x on both sides: 75 = 11.5x + 6
  3. Subtract 6 on both sides: 69 = 11.5x
  4. Divide both sides by 11.5: 6 = x
  5. Rewrite x = 6

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

75 - 3.5(6) - 4(6) = 4(6) + 6

75 - 21 - 24 = 24 + 6

54 - 24 = 30

30 = 30

3 0
3 years ago
Read 2 more answers
How many 3 3/4 inch wires can be cut from a spool if wire that is 100 inches how much will be left over
Akimi4 [234]

How many 3\frac{3}{4} wires can be cut from a spool of wire that is 100 inches long?

How many inches will be left over?

Number of pieces of wires = length of spool of wire ÷ length of each piece of wire.

Number of pieces = 100 ÷ 3\frac{3}{4} = 100 ÷ \frac{15}{4}

That gives \frac{100 * 4}{15}

Simplifying gives \frac{400}{15} = \frac{80}{3}

This is equivalent to 26\frac{2}{3} pieces

So 26 pieces of wires can be cut from a spool and \frac{2}{3} of a piece will be left over.

6 0
3 years ago
An account pays 6% compound interest. In year 1, the amount in the account is $70. How much is in the account in year 5?
kobusy [5.1K]

Answer:

$91 is the answer.

Step-by-step explanation:

R = 6%

P = $70

T = 5 year

now

I = PTR/100

=(70×5×6)100

= 2100/100

= $21

So,

I = A-P

21 = A-70

21+70 = A

so, A = $91

8 0
3 years ago
Limit xtens to 0 x^2logx^2 what is the ans of interminate forms?
GarryVolchara [31]

Rewrite the limit as

\displaystyle\lim_{x\to0}x^2\log x^2=\lim_{x\to0}\frac{\log x^2}{\frac1{x^2}}

Then both numerator and denominator approach infinity (with different signs, but that's not important). Applying L'Hopital's rule, we get

\displaystyle\lim_{x\to0}\frac{\log x^2}{\frac1{x^2}}=\lim_{x\to0}\frac{\frac2x}{-\frac2{x^3}}=\lim_{x\to0}-x^2=\boxed{0}

7 0
3 years ago
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