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2 years ago

Write the equation of the line that passes through the points (3,-3) and (3,8). Put

Mathematics

1 answer:

Gala2k [10]2 years ago

7 0

The equation of the line is the vertical line x = 3.

<h3>The gradient of the line</h3>

The gradient of the line between two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).

Since the line passes through the points (3,-3) and (3,8),

(x₁, y₁) = (3,-3) and
(x₂, y₂) = (3,8).

So, substituting the values of the variables into the equation, we have

m = (y₂ - y₁)/(x₂ - x₁).

m = (8 - (-3))/(3 - 3).

m = (8 + 3)/0

m = 11/0

m = +∞

<h3>Equation of the line in point-slope form</h3>

The equation of the line passing through the point (x₁, y₁) in point-slope form is given by

y - y₁ = m(x - x₁) where

m = gradient = +∞ and
(x₁, y₁) = (3, -3)

So, substituting the values of the variables into the equation, we have

y - y₁ = m(x - x₁)

y - (-3) = +∞(x - 3)

y + 3 = +∞(x - 3)

y + 3/+∞ = (x - 3)

0 = x - 3

x = 3

So, the equation of the line is the vertical line x = 3.

Learn more about equation of a line in point-slope form here:

brainly.com/question/24907633

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A physician orders 140mg of a medication to give orally. You have 125mg/5mL on hand. What is the correct dose of medication to g

adelina 88 [10]

<h2>Hello!</h2>

The answer is: The correct dose of medication to give is 5.6 mL

To solve this problem we need to establish a relationship between the prescripted medication and the available solution.

Let's write the needed equations to establish the relantionship:

$\frac{125mg}{5mL}=1\\\\125mg=5mL$

The available solution means 125 mg each 5 mL of solution, so:

$\frac{125mg}{5mL}=\frac{140mg}{x}\\\\x*\frac{125mg}{5mL}=140mg\\\\x=140mg*\frac{5ml}{125mg}=\frac{700mg*mL}{125mg}=5.6mL$

Hence, the correct dose of medication to give is 5.6 mL of the 125 mg/5mL solution.

Have a nice day!

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2 years ago

A loaf of bread that is baked today costs $7. All of the bread baked yesterday is 40% off.

vovikov84 [41]

Answer:

The price of today's bread is $7.

40% of $7 is $2.80.

The price of yesterdays bread is $7-$2.80.

7-2.80=4.20

The price of yesterday's bread is $4.20

Tobin has enough money to purchase a loaf of yesterday's bread.

Hope this helps!

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3 years ago

In the figure, the radius of the partial circle with center Ais 4 feet.

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3 years ago

Which of the following is NOT a rational number?

makvit [3.9K]

Answer:

A <u>rational number</u> is a number that can be expressed as a fraction (the ratio of two integers).

<u>Integer</u>: A whole number that can be positive, negative, or zero.

To calculate if each radical can be expressed as a rational number, convert the decimals into rational numbers, then simplify:

$\sqrt{121}=\sqrt{11^2}=11=\dfrac{11}{1} \quad \leftarrow \textsf{rational}$

$\sqrt{12.1}=\sqrt{\dfrac{1210}{100}}=\dfrac{\sqrt{1210}}{\sqrt{100}}=\dfrac{\sqrt{121\cdot 10}}{10}=\dfrac{\sqrt{121}\sqrt{10}}{10}=\dfrac{11\sqrt{10}}{10} \leftarrow \textsf{not rational}$

$\sqrt{1.21}=\sqrt{\dfrac{121}{100}}=\dfrac{\sqrt{121}}{\sqrt{100}}=\dfrac{\sqrt{11^2}}{\sqrt{10^2}}=\dfrac{11}{10} \leftarrow \textsf{rational}$

$\sqrt{0.0121}=\sqrt{\dfrac{121}{10000}}=\dfrac{\sqrt{121}}{\sqrt{10000}}=\dfrac{\sqrt{11^2}}{\sqrt{100^2}}=\dfrac{11}{100} \leftarrow \textsf{rational}$

Therefore, $\sf \sqrt{12.1}$ is not a rational number.

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2 years ago

Write the equation of a line in slope intercept form that contains the points (0,2) and (3,4)

AlladinOne [14]

Answer:

Step-by-step explanation:

Generally equation of a line is given as

y=mx+c

Then given the point (x, y)=(0,2)

Therefore x=0 and y=2

y=mx+c

2=m×0+c

2=0+c

Then, c=2

Then intercept is 2

Also given the point (x, y)=(3,4)

x=3 and y=4 and c=2

y=mx+c

4=m×3+2

4=3m+2

4-2=3m

2=3m

Then, m=2/3

Then, the slope of the graph is 2/3

y=mx+c

Now, m=2/3 and c=2

The general equation of the line becomes

y=2/3x+2

Multiply through by 3

3y=2x+6

Then this is the equation of the line

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2 years ago