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3 years ago

Select the statement that describes the expression 6 x one third x (12 − 3).

Mathematics

2 answers:

Blizzard [7]3 years ago

7 0

Answer:

Step-by-step explanation:

6 x 1/3 = 2

1/3 x (12-3) = 2 x 9

2 x 9 = 18

A = 2 (12/3) = 2 x 4 = 8

B = 2 x 15 = 30

C = 2 x 36 = 72

D = 2 x 9 = 18

NeTakaya3 years ago

6 0

The answer would be D.

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LekaFEV [45]

The third one: No, yes, no

5 0

3 years ago

-2v3 + v75

Lena [83]

Answer:

a) $3\sqrt{3}$

Step-by-step explanation:

Step(i):-

Given - 2 √3 + √75

we know that 25 × 3 = 75

- 2 √3 + √75

= -2 √3 + $\sqrt{25 X 3}$

By using

$\sqrt{ab} = \sqrt{a} \sqrt{b}$

= $-2\sqrt{3} + \sqrt{25} X \sqrt{3}$

= $-2\sqrt{3} + 5 \sqrt{3}$

= $(-2 + 5 ) \sqrt{3}$

= $3\sqrt{3}$

3 0

3 years ago

Show that Sin60 / cos60 = tan 60

Lerok [7]

Answer:

sin60=opp\hyp
cos60=adja\hyp
tan60=opp\adj
sin60\cos60=tan60

6 0

2 years ago

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

Alla [95]

Answer:

$\displaystyle y=-\frac{1}{2}x+4$

Step-by-step explanation:

Equation of a Line

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-\frac{1}{2}$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

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

Operating

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

Simplifying

$\displaystyle y=-\frac{1}{2}x+4$

That is the equation in slope-intercept form. Intercept: y=4

8 0

3 years ago

Quiz 1-2: Distance & Midpoint; Partitioning a Segment

nadya68 [22]

The distances between the given pairs of points are:

(-8, -2) and (6, -1); d = 14.04
(-4, 5) and (4,0); d = 9.85

<h3>How to find the distance between two points?</h3>

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

d = √( (x₁ - x₂)^2 - (y₁ - y₂)^2)

1) The first pair of points is (-8, -2) and (6, -1), using the above formula we can see that the distance is:

d = √( (-8 - 6)^2 - (-2 +1)^2) = 14.04

2) The second pair is (-4, 5) and (4,0), and using the distance formula, we get:

d = √( (-4 - 5)^2 - (4 - 0)^2) = 9.85

If you want to learn more about the distance between points:

brainly.com/question/7243416

#SPJ1

3 0

1 year ago