Answer:slope of line is 5/7
Explanation:The slope of the line can be calculated using the following rule:
slope =
The given points are:
(-9,-10) which represent (x1,y1)
(-2,-5) which represent (x2,y2)
Substitute with the points in the above equation to get the slope as follows:
slope =
= 5/7
Hope this helps :)
Answer:
Step-by-step explanation:
3) Sin30 = 11/x
x = 11/Sin30 = 11/0.5
x = 22
Tan 30 = 11/y
y = 11/tan30 = 11/0.5774
y = 19.1
4) Sin30 = 6/x
x = 6/Sin30 = 6/0.5
x = 12
Tan 30 = 6/y
y = 6/tan30 = 6/0.5774
y = 10.39
5) Sin45 = 9√2/y
y = 9√2/Sin45 = 9√2/(√2/2) =
9√2 × 2/√2 = 18
x = 18
Tan 45 = 9√2/x
x = 9√2/Tan 45 = 9√2/1
x = 9√2
6)
Sin60 = 9/x
x = 9/Sin60 = 9/0.866
x = 10.39
Tan 60 = 9/y/2 = 18/y
1.7321 = 18/y
y = 18/1.7321
y = 10.39
Answer:
MOP=33
Step-by-step explanation:
MOP + MON = NOP
Substitute what we know
MOP = 3x-3
MON = 4x+9
NOP = 90 right angle
3x-3+4x+9 = 90
Combine like terms
7x+6 =90
Subtract 6 from each side
7x+6-6=90-6
7x = 84
Divide each side by 7
7x/7 = 84/7
x =12
We need to find MOP
MOP = 3x-3
=3(12)-3
36-3
33
Answer:
1 penny 3 nickels 2 dimes = 36 cents
quarter
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
