What is the slope of this line?(-4,6) (0,8)

1 answer:

3 0

Hey there!

To solve this you must use your slope formula which is y2-y1/x2-x1.

Now, plug in your coordinate point values in place of x and y：
8-6/0-(-4)

Now simplify the expression and if necessary, simplify your slope into simplest fraction form :
8-6/0-(-4)
2/4
2/4=1/2

Therefore, your final answer would be that the slope of this line is 1/2.

Hope this helps!

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Solve for r. 35r-21<-35r+19

Mnenie [13.5K]

Good morning ☕️

Answer:

$r < \frac{4}{7}$

Step-by-step explanation:

35r-21 < -35r+19

⇌ 35r + 35r < 19 + 21

⇌ 70r < 40

⇌ r < 40/70

⇌ r < 4/7

_________________________

5 0

3 years ago

Determine the domain of the function (f o g)(x) where f(x)= 3/x+2 and g=5/x.

vitfil [10]

Answer:

The Domain is all real values of x except x = 0 and x = -2.5.

Step-by-step explanation:

I am assuming that f(x) = 3/(x + 2).

(f o g)x is found by substituting 5/x for the x in 3/(x + 2).

(f o g) x = 3/ ( 5/x + 2)

= 3 / ( 5+2x) / x

= 3x / (5 + 2x).

When finding the domain you first check for values of x which make g(x) undefined then values of x which make (f o g)(x) undefined.

x = 0 makes g(x) = 5/0 so it is undefined and x = -2.5 makes g o f undefined also.

7 0

2 years ago

This figure shows △XYZ . MZ¯¯¯¯¯¯ is the angle bisector of ∠YZX . What is XM ? Enter your answer, as a decimal, in the box. unit

astraxan [27]

Answer:

Length of XM is 5.5 units.

Step-by-step explanation:

Given △XYZ where MZ is the angle bisector of ∠YZX . we have to find the length of XM.

A triangle with vertices X, Y, and Z. Side XZ is base. A line segment drawn from Z to M bisects ∠YZX into two parts ∠YZM and ∠XZM.

YZ=7 units, XZ=11 units and YM=3.5 units

By angle bisector theorem which states that an angle bisector of an angle divides the opposite side in two segments that are proportional to the another two sides of the triangle.

Hence, $\frac{YM}{MX}=\frac{YZ}{XZ}$