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3 years ago

What is an equation of the line that passes through the point (4,-6) and has a slope of -3

Mathematics

2 answers:

GenaCL600 [577]3 years ago

6 0

Answer:

y = -3x -6

Step-by-step explanation:

-6 is on the y line on the graph

-Dominant- [34]3 years ago

5 0

Answer: The equation of the line is

y = - 3x + 6

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

The line passes through (4,-6) and the slope is -3

To determine the intercept, we would substitute x = 4, y = - 6 and m = - 3 into y = mx + c. It becomes

- 6 = - 3 × 4 + c

- 6 = - 12 + c

c = - 6 + 12

c = 6

The equation becomes

y = - 3x + 6

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Determine the missing side length:

ludmilkaskok [199]

The answer is: "3" .
_______________________________
Use the Pythagorean theorem (for right triangles):

a² + b² = c² ;

in which "a = "side length 1" (unknown; for which we which to solve);

"b" = "side length 2" = "√3" (given in the figure) ;

"c" = "length of hypotenuse" = "2√3" (given in the figure);
_____________________________________________________
a² + b² = c² ;

a² = c² − b² ;

Plug in the known values for "c" and "b" ;

a² = (2√3)² − (√3)² ;

Simplify:

(2√3)² = 2² * (√3)² = 2 * 2 * (√3√3) = 4 * 3 = 12 .

(√3)² = (√3√3) = 3 .

a² = 12 − 3 = 9 .

a² = 9

Take the "positive square root" of EACH SIDE of the equation; to isolate "a" on one side of the equation; & to solve for "a" ;

+√(a²) = +√9 ;

a = 3 .
____________________________________
The answer is: "3" .
____________________________________

3 0

3 years ago

Find the value of each variable. Line / is a tangent

Mashcka [7]

Answer:

a° = 118° , b° = 49° , c° = 144° , d° = 98°

Step-by-step explanation:

* Lets study the figure and take the information to solve the question

- There is a circle

- There is an inscribed triangle in the circle

- Each vertex of the triangle is an inscribed angle in the circle

- Each vertex subtended by an arc

- The measure of any inscribed angle is half the measure of its

subtended arc

* Now lets solve the question

- The sum of the measures of the interior angles of a triangle is 180°

∵ The triangle has angle of measure 59° and another angle of

measure 72°

∴ The measure of the third angle = 180° - (59° + 72°) = 49°

∵ b° is the measure of the third angle in the triangle

∴ b° = 49°

- The arc of measure a° is intercept the angle of measure 59°

∵ The measure of the angle is half the measure of the arc

∴ 1/2 a° = 59° ⇒ multiply both sides by 2

∴ a° = 118°

- The arc of measure c° is intercept the angle of measure 72°

∵ The measure of the angle is half the measure of the arc

∴ 1/2 c° = 72° ⇒ multiply both sides by 2

∴ c° = 144°

- The arc of measure d° is intercept the angle of measure 49°

∵ The measure of the angle is half the measure of the arc

∴ 1/2 d° = 49° ⇒ multiply both sides by 2

∴ d° = 98°

4 0

3 years ago

Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

forsale [732]

Answer:

The answer would be A

Step-by-step explanation:

Both congruent sides are pairs

8 0

3 years ago

Read 2 more answers

Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error?

KonstantinChe [14]

Choice 1. He did not square 40, he just multiplied by 2.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse measures c cm while the other sides are 40 cm and 9 cm each.

Step 2:

According to the Pythagorean theorem,

$9^{2} +40^{2} = c^{2}.$

$81 + 1600 = c^{2} .$

$1681 = c^{2} .$

$\sqrt{1681} = c.$

This is the correct solution to the given problem. Hans did not square 40, he just multiplied by 2. Which is the first option.

5 0

3 years ago

Taylor ran 2 1/4 miles and walked 2 4/5 miles. How far did she run and walk

irinina [24]

Okay. So, we should convert fractions to the least common denominator, which is 20. That would be 2 5/20 and 2 16/20. Add both of those numbers up to get 5 1/20. Taylor ran and walked 5 1/20 miles.

5 0

3 years ago