Hey there!!
Parallel lines have the same slope. If they have different slope, then they are not parallel because both lines would combine at some point.
The y-intercept form:
<em>y = mx + b </em>
<u>In this equation, 'm' is considered to be the slope. </u>
The equation we have is 6y = -2x + 4
First, let's divide all the sides with 6 to isolate the value of 'y'.
... 6y = -2x + 4
... y = -1/3x + 2/3
<u><em>The slope is -1/3... </em></u>
<u><em>... hence the slope in the other equation should be -1/3. </em></u>
Equation we got...
... 2y = ax - 5
Let's divide by 2 on both sides...
... y = ax/2 - 5
The slope in this a/2
<u><em>Hence, ... </em></u>
<u><em>... a/2 = -1/3 </em></u>
<u><em>... 3a = -2 </em></u>
<u><em>... a = -2/3 </em></u>
<h2><u><em>
Hence, the value of a is -2/3. </em></u></h2><h3><u><em>
Hope my answer helps!</em></u></h3>
Answer:
The estimate of the proportion of all students that prefer to use a metal pen is 0.4.
Step-by-step explanation:
The estimate of the proportion is the sample proportion.
In the sample:
10 students
4 use a metal pen. So
The estimate of the proportion of all students that prefer to use a metal pen is 0.4.
CD = 5 because they are congruent equilateral triangles
∫f(6)-∫f(1) = 1, ∫f(6)-∫f(3)=6, and ∫f(7)-∫f(1)=7. Changing around the first and third equation, we can get ∫f(1)=∫f(6)-1, and ∫f(1)=∫f(7)-7. Then we get that ∫f(6)-1=∫f(7)-7, and that ∫f(6)=∫f(7)-6. Then plug into the second equation, to get ∫f(7)-6-∫f(3)=6 or ∫f(7)-∫f(3)=12. So <span>∫73f(x)dx = 12.</span>
Answer:
m/6+ n/3 +1/2
Step-by-step explanation: