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3 years ago

What phrase represents the expression 2⋅(3−x) ? Select the correct answer.

Mathematics

1 answer:

IgorC [24]3 years ago

4 0

3-x is the difference of 3 and x. Multiplying it by 2 gives you ...

... B. twice the difference of 3 and x

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Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, the

Kazeer [188]

Answer:

$m=-\frac{1}{6}$

$b=5$

Step-by-step explanation:

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-6,\:6\right),\:\left(x_2,\:y_2\right)=\left(12,\:3\right)$

$m=\frac{3-6}{12-\left(-6\right)}$

$m=-\frac{1}{6}$

As the equation in point-slope form

$y-y_1=m\left(x-x_1\right)$

Here:

m is the slope and

$\left(x_1,\:y_1\right)$ is a point on the line

using $m=-\frac{1}{6}$ and $\left(x_1,\:y_1\right)=\left(-6,\:6\right)$ then

$y-6=-\frac{1}{6}\left(x-\left(-6\right)\right)$

$-\frac{1}{6}\left(x-\left(-6\right)\right)=y-6$

$\mathrm{Multiply\:both\:sides\:by\:}-6$

$\left(-\frac{1}{6}\left(x-\left(-6\right)\right)\right)\left(-6\right)=y\left(-6\right)-6\left(-6\right)$

$x+6=-6y+36$

$x+6-36=-6y$

$x-30=-6y$

$\frac{x-30}{-6}=\frac{-6y}{-6}\:$

$y=\frac{-1}{6}x+5$

Thus

$y=\frac{-1}{6}x+5$

comparing the equation with the slope-intercept form

$y=mx+b$

so,

$y=mx+b$

$y=\frac{-1}{6}x+5$

Therefore,

$m=-\frac{1}{6}$

$b=5$

5 0

4 years ago

Read 2 more answers

Two triangular roofs are similar. The ratio of the corresponding sides of these roofs is 2:3. If the altitude of the smaller roo

schepotkina [342]

Answer: 6.75 feet

Step-by-step explanation:

Since, the ratio of the side of the similar triangle = 2 : 3

Thus, by the property of similar triangle,

The ratio of the altitudes of the triangle = 2 : 3

Let the altitude of smaller triangle = 2 x

And, the altitude of larger triangle = 3 x

Where x is any number.

According to the question,

2 x = 4.5

x = 2.25

Therefore, the altitude of larger triangle = 3 × 2.25 = 6.75 feet

5 0

3 years ago

Help plz

tensa zangetsu [6.8K]

The answer is 117 inches^3

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

8 0

3 years ago

Read 2 more answers

Two trains leave stations 560 miles apart at the same time and travel toward each other. One train travels at 90 miles per hour

lana [24]

Answer: the two trains will meet in 2.8 hours

Step-by-step explanation:

Step 1

Speed of train A = 90mph

Speed of train B = 110 mph

Since both trains are travelling towards each other , their effective speed will be= 90 mph + 110mph= 200mph

Step 2

we know that Speed = distance / time

therefore Time = Distance / speed

Distance = 560 miles

Speed = 200 mph

Time = 560miles / 200mph

2.8 hours

5 0

3 years ago

A caterer charges $120 to cater a party for 15 people and $200 for 25 people. Assume that the cost, y, is a linear function of t

DIA [1.3K]

Answer:

The equation in slope-intercept form is y = 8x

The slope represents the unit cost

A party for 40 people would cost $320

Step-by-step explanation:

8 0

3 years ago