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3 years ago

5

What is the equation of the line that is perpendicular to the

1 answer:

Bas_tet [7]3 years ago

7 0

Answer:

y=3x-5

Step-by-step explanation:

If the new line is perpendicular to the original line, they the slope for the new line should be the reciprocal and opposite of the original line. Since the original line's slope is -1/3, the slope of the new line is 3, which is the coefficient in the new equation representing the new line. Then, you create an equation to solve for "b" in the equation y=mx+b where "b" is the y-intercept. You plug in 3 for x, 4 for y, and 3 for m (you know that 3 is x and 4 is y because it says that the line must past (3,4). So the equation to solve for b should be "4=3(3)+b". Then for b you should get -5.

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Cuál es la raíz cuadrada de 464

weqwewe [10]

Can u say this in English please

4 0

3 years ago

adell [148]

Answer:

Solving the inequality $3x -2 < 4$ we get $\mathbf{x$

Option D is correct option.

Step-by-step explanation:

We need to solve the inequality $3x -2 < 4$ and find value of x

Solving the inequality for finding value of x, we will keep x on left side of inequality and all other terms on the right side.

$3x -2 < 4$

Adding 2 on both sides

$3x -2+2 < 4+2\\3x < 6$

Now, we will divide 3 on both sides

$\frac{3x}{3}$

So, we get x < 2

Solving the inequality $3x -2 < 4$ we get $\mathbf{x$

Option D is correct option.

5 0

3 years ago

to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac

CaHeK987 [17]

Answer:

<u>800 liters</u> of 90% saline solution and <u>1200 liters</u> of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

<u><em>Let the liters of 90% saline solution mix be </em></u> $x.$ <u><em /></u>

<u><em>And let the liters of 40% saline solution mix be</em></u> $y.$

So, the total number of liters:

$x+y=2000.$

$y=2000-x\ \ \ ....(1)$

Now, the total percentage of saline solution:

$90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000$

$\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000$

$0.9x+0.4y=1200$

Substituting the value of $y$ from equation (1) we get:

$0.9x+0.4(2000-x)=1200$

$0.9x+800-0.4x=1200$

$0.5x+800=1200$

Subtracting both sides by 800 we get:

$0.5x=400$

Dividing both sides by 0.5 we get:

$x=800.$

<u>The liters of 90% saline solution mix = 800.</u>

Now, substituting the value of $x$ in equation (1) to get the liters of 40% saline solution:

$y=2000-x$

$y=2000-800$

$y=1200.$

<u>Thus, the liters of 40% saline solution = 1200.</u>

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

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marusya05 [52]

Answer:

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3 years ago

Find a line that is parallel to y=-2x+7 and passes through a point of (1,-1)

navik [9.2K]

Answer:

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Step-by-step explanation:

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