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3 years ago

13/2 divided by 3/4

Mathematics

1 answer:

Juliette [100K]3 years ago

5 0

Answer: 26/3

Step-by-step explanation: When dividing by a fraction, we can change

the division sign to multiplication and flip the second fraction.

So 13/2 ÷ 3/4 means the same thing as 13/2 · 4/3.

So when dividing by a fraction, we can just multiply

by the reciprocal of that fraction or that fraction flipped.

Next we cross-cancel.

4 and 2 reduce to 2 and 1.

Multiplying across the numerator and denominators we have 26/3.

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Identify an equation in point-slope form for the line perpendicular to

Alchen [17]

Answer:

$y - 9 = \frac{1}{2}(x +3)$

Step-by-step explanation:

Given

Function; $y = -2x + 8$

Required

Find an equation perpendicular to the given function if it passes through (-3,9)

First, we need to determine the slope of: $y = -2x + 8$

The slope intercept of an equation is in form;

$y = mx + b$

Where m represent the slope

Comparing $y = m_1x + b$ to $y = -2x + 8$ ;

We'll have that

$m_1 = -2$

Going from there; we need to calculate the slope of the parallel line

The condition for parallel line is;

$m_1 * m_2 = -1$

Substitute $m_1 = -2$

$(-2) * m_2 = -1$

Divide both sides by -2

$m_2 =\frac{ -1}{-2}$

$m_2 =\frac{1}{2}$

The point slope form of a line is;

$y - y_1 = m_2(x - x_1)$

Where $(x_1,y_1) = (-3,9)$ and $m_2 =\frac{1}{2}$

$y - y_1 = m_2(x - x_1)$ becomes

$y - 9 = \frac{1}{2}(x - (-3))$

Open the inner bracket

$y - 9 = \frac{1}{2}(x +3)$

Hence, the point slope form of the perpendicular line is: 

 $y - 9 = \frac{1}{2}(x +3)$ 

3 0

3 years ago

Simplify 3a+4+b+2a+5+b

Alinara [238K]

Answer: 5 a + 2 b + 9

Step-by-step explanation: Hope this helped!!!!

8 0

3 years ago

Read 2 more answers

What is the product of 7/16 and -6/13 I will make you the brainlest

mr_godi [17]

Answer:

$\frac{7}{16} *\frac{-6}{13} = \frac{-42}{208}$

Step-by-step explanation:

$\frac{7}{16} *\frac{-6}{13} = \frac{-42}{208}$ . First multiply 7*-6=-42.

Then do 16*13=208.

Simplify by dividing both by 2.

You get $\frac{-42}{208}=\frac{-21}{104}$ .

Your final simplified answer is $\frac{-21}{104}$

I hope this helps!

5 0

3 years ago

Which function below has the lowest y intercept? f(x) graph going through (0, 5) and (2, 1) g(x) Kyle started the summer having

mr Goodwill [35]

First find the slope of f(x).

m=(y2-y1)/(x2-x1)

m=(1-5)/(2-0)

m=-4/2

m=-2

y=-2x+b, using (2,1) we can solve for the y-intercept, "b"

1=-2(2)+b

1=-4+b

5=b

y=-2x+5

So f(x) has a y-intercept of 5

g(x)=6m+3

So g(x) has a y-intercept of 3

h(x)=3x+4

So h(x) has a y-intercept of 4

Then g(x) has the lowest y-intercept of just 3.

6 0

3 years ago

Read 2 more answers

A square pyramid has sides of 4.1 cm, and a pyramid height of .6 cm, determine the volume.

Rainbow [258]

The formula is: a^2 h/3
the answer is about 0.49

6 0

3 years ago