All categories

2 years ago

A line has a slope of 8 and includes the points (1, z) and (2,8). What is the value of z?

Mathematics

1 answer:

NISA [10]2 years ago

6 0

The value of z is zero

Step-by-step explanation:

The slope is the steepness of the line.

The formula for slope is given by:

$m=\frac{y_2-y_1}{x_2-x_1}\\Here\\(x_1,y_1)\ are\ the\ coordinates\ of\ first\ point\ on\ line\\(x_2,y_2)\ are\ the\ coordinates\ of\ second\ point\ on\ line$

Here

(x1,y1) = (1,z)

(x2,y2) = (2,8)

So,

$m=\frac{y_2-y_1}{x_2-x_1}\\8 = \frac{8-z}{2-1}\\8=\frac{8-z}{1}\\8-8 = -z\\z = 0$

The value of z is zero

Keywords: slope, Line

Learn more about slope at:

#LearnwithBrainly

You might be interested in

Ron walks 22.5 in 5 hours finds his speed<br>

Lostsunrise [7]

Answer:

his speed would be 4.5 miles per hour

Step-by-step explanation:

if you do the distance divided by the hours you will get the answer.

22.5/5=4.5

7 0

2 years ago

A. Name the smallest angle and the largest angle of the following triangles: F 6 S 5 1. A J 5.03 7 5 G B H 5.1 2. D 4 3 E

I am Lyosha [343]

Answer:

(smallest, largest) = (B, C), (D, E), (G, J)

Step-by-step explanation:

Side lengths of a triangle are proportional to the sine of the opposite angle. In a triangle, a larger angle will always have a larger sine. That means the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

The shortest side is 5 units, opposite angle B. The longest side is 7 units, opposite angle C.

smallest angle: B
largest angle: C

The shortest side is 3 units, opposite angle D. The longest side is 5 units, opposite angle E.

smallest angle: D
largest angle: E

The shortest side is 5 units, opposite angle G. The longest side is 5.1 units, opposite angle J.

smallest angle: G
largest angle: J

_____

<em>Additional comment</em>

Angles in a triangle may exceed 90°. The sine function actually is decreasing for angles above 90°. However, since the total of angles of a triangle must be exactly 180°, there <em>cannot be two angles in a triangle such that the smaller angle has the larger sine</em>.

6 0

2 years ago

If y varies directly as x and y=32 when x=4. find the constant of variation

Llana [10]

Answer:

k = 8

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 32 when x = 4, then

32 = 4k ( divide both sides by 4 )

8 = k

7 0

3 years ago

Read 2 more answers

I need help finding the area

Kitty [74]

Make drawing (see attachment)
do big rectangle minus triangle

big rectangle area=lenght timess width=22 times 33=726 square feet
triangle=1/2 times base times height=1/2 times 9 times 10=45 square feet

rectangle-triangle=726-45=681 square feet

4 0

3 years ago

46 POINTS!!!!!!!!!!!!!<br><br> Simplify the expression 23r - 23r<br><br> please help me UwU

Lorico [155]

Answer:

1r-1r

Step-by-step explanation:

srry if its wrong i took that class a couple months ago

7 0

3 years ago