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4 years ago

(0,-2) and (-6,4) slope

Mathematics

1 answer:

kumpel [21]4 years ago

7 0

Answer:

$m=-1$

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Simply plug in your 2 points into the formula to find slope m:

$m=\frac{4-(-2)}{-6-0}$

$m=\frac{4+2}{-6}$

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

$m=-1$

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Given f(x) = 2x - 7 and g(x) = 3x + 2, find (fog)(x).

statuscvo [17]

Answer:

(fog)(x)=6x-3

Step-by-step explanation:

In this problem, we are looking to find f of g of x. Simply put, we just have to plug g(x) into f(x). Whereever there is an x in f(x), we will replace with g(x).

$(fog)(x)= 2(g(x))-7\\(fog)(x)=2(3x+2)-7\\(fog)(x)=6x+4-7\\(fog)(x)=6x-3$

I hope this helps! Let me know if you have any questions :)

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3 years ago

Solve the following equation for 0° ≤ θ < 360°. Use the "^" key on the keyboard to indicate an exponent. For example, sin2x w

never [62]

Answer-

$\boxed{\boxed{x=90^{\circ},270^{\circ}}}$

Solution-

The given equation-

$\Rightarrow 2\sin^2 x-\cos^2 x-2=0$

$\sin^2 x+\cos^2 x=1\ \ \Rightarrow \cos^2 x=1-\sin^2 x$

Putting this,

$\Rightarrow 2\sin^2 x-(1-\sin^2 x)-2=0$

$\Rightarrow 2\sin^2 x-1+\sin^2 x-2=0$

$\Rightarrow 3\sin^2 x-3=0$

$\Rightarrow 3\sin^2 x=3$

$\Rightarrow \sin^2 x=1$

$\Rightarrow \sin x=\sqrt1$

$\Rightarrow \sin x=\pm 1$

$\Rightarrow \sin x=1,\ \sin x=-1$

$\Rightarrow x=\sin^{-1}(1),\ x=\sin^{-1}(-1)$

$\Rightarrow x=90^{\circ}+n360^{\circ},\ x=270^{\circ}+n360^{\circ}$

Where n=0, 1, 2, ......

As given 0° ≤ x < 360°, so putting n = 0

$\Rightarrow x=90^{\circ},\ x=270^{\circ}$

3 0

4 years ago

I need emergent help matching these math words

Blababa [14]

Complementary angles - the sum of two angles equals 90 degrees

Exterior angle theorem- the sum of the remote interior angles of a triangle equals the outside angle

Isosceles triangle- has two equal sides and two equal angles

Supplementary angle- the sum of two angles equals 180 degrees

Triangle sum theorem- the sum of of interior angles equal 180

Vertical angles- congruent angles that are opposite of each other.

8 0

3 years ago

Read 2 more answers

The author of Passage 1 indicates that becoming

Tasya [4]

The author of Passage 1 indicates that becoming adept at using the Internet can undermine the ability to think deeply.

<h3>What according to the author, becoming adept at using the Internet can cause?</h3>

Passage 1's author cites Patricia Greenfield's study, which discovered that people's use of screen-based technologies harmed their ability to acquire knowledge, perform "inductive analysis" and "critical thinking," and be imaginative and reflective.

The author of Passage 1 concludes that people's ability to think "deeply" is hampered by their use of screen-based technologies.

Option A, C, and D are incorrect because the author of Passage 1 does not address how people's health, social contacts, or self-confidence are affected by using the Internet.

The author of Passage 1 suggests that becoming proficient with the Internet can impair one's ability to think deeply.

Therefore, the correct answer is option B) undermine the ability to think deeply.

To learn more about reading comprehension, refer to:

brainly.com/question/23343740

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7 0

1 year ago

In the figure below which term best describes point X?

Dmitrij [34]

The answer is B. centroid, which is the intersection of three medians of the triangle's sides.

Let's look into other answers as well:

A. Circumcenter

It is the point where three perpendicular bisector meet, and is not correct as we can see there is no indication of right angles.

The first photo is what a circumcenter looks like:

C. Incenter

It is the point where the angle bisectors of the triangles meet, which is not indicated in the photo as well.

The second photo is what a incenter looks like:

D. Orthocenter

It is a point where the altitudes of a triangle intersect, and is not indicated by the figure.

The second photo is what a Orthocenter looks like:

Therefore the answer is B. Centroid.

Hope it helps!

3 0

3 years ago

(0,-2) and (-6,4) slope​

(0,-2) and (-6,4) slope