The equation of a line for the given slope is
.
Solution:
Given data:
Slope (m) = 
Point = (–2, 0)

To find the equation of the given line in the point-slope form:
<u>Point-slope formula:</u>

Substitute the given values in the formula.




The equation of a line for the given slope is
.
Answer:
6.45
Step-by-step explanation:
The answer=2.5*7.5-(2.75+9.55)=18.75-(12.3)=6.45
Answer:
I believe the answer is 30.
Step-by-step explanation:
-
Compound inequality combines multiple single inequalities.
The solution and interpretation of the inequality is:
<em />
<em> and </em>
<em>. Ryan needs to consume more than 50 grams of carbohydrates, but less than 150 grams of carbohydrates.</em>
<em />
We have:
and 
Solve for x in both inequalities



Divide both sides by 2

Rewrite as:

Also, we have:



Divide by 2

So, the solutions to the inequalities are:
and 
This means that Ryan needs to consume more than 50 but less than 150 grams of carbohydrates.
Hence, (a) is correct
Read more about compound inequalities at:
brainly.com/question/13290962
Answer:
(x+16)²+(y-30)²=1156
Step-by-step explanation:
We have given:
center at (-16,30). It means h = -16 and k=30
and it passes through the origin (0,0)
Thus the radius will be distance between (-16,30) and (0,0)
r=√(-16 - 0)²+(30-0)²
r=√256+900
r²=(√1156)²
r²=1156
Now apply standard equation of circle:
(x-h)²+(y-k)² = r²
(x+16)²+(y-30)²=1156
Thus the equation is (x+16)²+(y-30)²=1156 ....