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4 years ago

Point-Slope form of the line that goes through (2, 7) with a slope of -4, please!

Mathematics

1 answer:

stellarik [79]4 years ago

7 0

Answer:

y-7= -4(x-2)

Step-by-step explanation:

Y-Y1=M(X-X1) - point slope form equation.

Plug in each coordinate into their coresponding places, X1, Y1 and M (the slope).

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-b+3y-6b+2y simplify the expression

iris [78.8K]

Answer:

5b+5y

Step-by-step explanation:

8 0

3 years ago

What is x in this equation?

hammer [34]

Multiply everything by 180 first, to cancel out fractions if you want.

so, 120x - 45 = -36x +20

then, solve, 156x = 65

x = 65/156

simplify to x = 5/12

5 0

3 years ago

Read 2 more answers

Find the longer leg of the triangle.

Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

The length of the hypotenuse (the side opposite to the right angle) is given.
The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let $\text{Opposite}$ denotes the length of the side opposite to the $30^{\circ}$ acute angle, and $\text{Adjacent}$ be the length of the side next to this $30^{\circ}$ acute angle.

$\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}$ .

Similarly,

$\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}$ .

The longer leg in this case is the one adjacent to the $30^{\circ}$ acute angle. The answer will be $3$ .

There's a shortcut to the answer. Notice that $\sin{30^{\circ}} < \cos{30^{\circ}}$ . The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the $30^{\circ}$ angle will be the longer leg. There will be no need to find the length of the opposite leg.

Does this relationship $\sin{\theta} < \cos{\theta}$ holds for all acute angles? (That is, $0^{\circ} < \theta$ ?) It turns out that:

$\sin{\theta} < \cos{\theta}$ if $0^{\circ} < \theta$ ;
$\sin{\theta} > \cos{\theta}$ if $45^{\circ} < \theta$ ;
$\sin{\theta} = \cos{\theta}$ if $\theta = 45^{\circ}$ .

4 0

3 years ago

Read 2 more answers

A number cube is rolled 14 times and the results are recorded in the table.

marshall27 [118]

Answer:

D.5/14

Because 4 appeared five times over the total

8 0

3 years ago

Classify the following triangle. Check all that apply.

natita [175]

Answer:

A and B

Step-by-step explanation:

It's definitely not equilateral or isosceles because none of the side lengths are equal. Therefore, it is scalene. Since all of the angles are acute, it's not obtuse or right, therefore it is acute.

4 0

3 years ago