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Delvig [45]
3 years ago
11

What is an equation of the line that passes through the point (- 2, 7) and is perpendicular to the line x - 4y = 24 ? Pls help

Mathematics
1 answer:
Ray Of Light [21]3 years ago
4 0

Answer: y=4x-1

Step-by-step explanation: the line goes through (-2,7) and is perpendicular to the line x-4y =24

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Jacob opened a money-market account. In the first month, he made an initial deposit of $500, and
natima [27]

Answer:

after 13 months

Step-by-step explanation:

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1475-500=975

975÷75=13

so 13 months

6 0
3 years ago
I am trying to figure out how to answer this equation. I have to show my work for it. 3x-5=6
baherus [9]

Answer:

Step-by-step explanation:

3 0
2 years ago
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A box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm by cutting out squares of length x by x from each co
Stells [14]

Volume of a rectangular box = length x width x height<span>

From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x</span>

<span>
where x is the height of the box or the side of the equal squares from each corner and turning up the sides

V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x

To maximize the volume, we differentiate the expression of the volume and equate it to zero.

V = </span>4x^3 - 100x^2 + 600x<span>
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0</span>

<span>x^2 - 50/3x + 50 = 0

Solving for x,
x1 = 12.74 ;      Volume = -315.56  (cannot be negative)
x2 = 3.92 ;      Volume = 1056.31

So, the answer would be that the maximum volume would be 1056.31 cm^3.
</span><span>
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6 0
3 years ago
Find all solutions of the equation in the interval [0, 2pi).
mina [271]

Answer:

x = 0 , π

Step-by-step explanation:

-4 \sin x = 1 - cos^2 x

  • Rewrite it by using the identity \sin^2x + \cos^2x = 1

=> -4\sin x = \sin^2x

  • Add 4sin x to both the sides.

=> -4\sin x + 4\sin x = sin^2x + 4\sin x

=> \sin^2x + 4\sin x = 0

  • Take sin x common from the expression in L.H.S.

=> \sin x(\sin x + 4)=0

Here , we can get two more equations to find x.

1) \sin x(\sin x + 4)=0

  • Divide both the sides by sin x

=> \frac{\sin x(\sin x + 4)}{\sin x} = \frac{0}{\sin x}

=> \sin x + 4 = 0

  • Substract 4 from both the sides.

=> \sin x + 4 - 4 = 0 - 4

=> \sin x = -4

=> x = No \; Solution

2) \sin x(\sin x + 4)=0

  • Divide both the sides by (sin x + 4)

=> \frac{\sin x(\sin x + 4)}{\sin x + 4} = \frac{0}{\sin x + 4}

=> \sin x =  0

=> x = 0 \; , \pi over interval [0 , 2π).

5 0
3 years ago
Solve for j : j/-2+7=-12 j=?
schepotkina [342]

Answer:

\huge\boxed{j=38}

Step-by-step explanation:

\dfrac{j}{-2}+7=-12\qquad\text{subtract 7 from both sides}\\\\\dfrac{j}{-2}+7-7=-12-7\\\\\dfrac{j}{-2}=-19\qquad\text{multiply both sides by (-2)}\\\\(-2)\!\!\!\!\!\!\!\diagup\cdot\dfrac{j}{-2\!\!\!\!\!\diagup}=(-2)(-19)\\\\j=38

3 0
3 years ago
Read 2 more answers
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