Answer:
m = 29/48
Step-by-step explanation:
Given that
x₂ = (y₂-y₁) +10 →(1
y₂ = y₁-x₁ → (2
y₁= 37
x₁ = 29
Now substitute the value of x₁ and y₁ into equation 2
y₂ = 37-29
y₂ = 8
Now substitute the value of y₂ and y₁ into equation 1
x₂ = (8-37) +10
x₂ = -19
As we know the slope (m) can be calculated as follows
m =(y₂ - y₁)/(x₂ - x₁)
m = (8- 37)/(-19 - 29)
m = (-29)/(-48)
m = 29/48
So our slope is 29/48
Wouldn’t it be D. since the domain is x. (x,y)
Answer:
D
Step-by-step explanation:
If y = log x is the basic function, let's see the transformation rule(s):
Then,
1. y = log (x-a) is the original shifted a units to the right.
2. y = log x + b is the original shifted b units up
Hence, from the equation, we can say that this graph is:
** 2 units shifted right (with respect to original), and
** 10 units shifted up (with respect to original)
<u><em>only, left or right shift affects vertical asymptotes.</em></u>
Since, the graph of y = log x has x = 0 as the vertical asymptote and the transformed graph is shifted 2 units right (to x = 2), x = 2 is the new vertical asymptote.
Answer choice D is right.
Answer: 8
Step-by-step explanation:
6x-3=45
6x=48
x=8
Answer:
x= 81°, z= 99°, y°=68°
Step-by-step explanation:
considering the part of the triangle where 36° , 63° and x° is located as ΔABC.
to find the measure of x we use angle sum property.
We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.
so,
∠A + ∠B +∠C = 180°
36° + 63° + x° = 180°
99° + x° = 180°
x° = 180 - 99
x° = 81°
When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.
x° + z° = 180°
81° + z = 180°
z= 180 - 81
z= 99°
considering the next part of the triangle where 13° , z° and y° is located as ΔACD
to find the measure of y we use angle sum property.
∠A + ∠C + ∠D = 180°
13° + z° + y° = 180°
13°+99°+y°= 180°
112°+ y° = 180°
y°= 180- 112
y° = 68°
