-11a=121. divide both by -11 and get a=-11
Hey there!
Line passes through (4, -1) & is parallel to 2x -3y=9
Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.
The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.
Start off by subtracting 2x from both sides.
-3y = -2x + 9
Then, divide both sides by -3.
y = (-2x + 9)/-3
Simplify.
y = 2/3x - 3
"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.
We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.
Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).
y-y₁=m(x-x₁)
Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.
y - (-1) = 2/3(x - 4)
Simplify.
y + 1 = 2/3 + 8/3
Simplify by subtracting 1 from both sides.
y = 2/3x + 8/3 - 1
Simplify.
y = 2/3x + 5/3
~Hope I helped!~
Answer:
Step-by-step explanation:
The two smaller angles add up to the measure of the total angle, so
(like a lot of geometry) it is really just an Algebra 1 problem with a nice picture to go with it ---> (5x + 13°) + (3x + 33°) = 70°
8x + 46° = 70°
8x = 24°
x = 3°
There is no actual question shown, but I imagine you want one or more of the following:
x = 3°
∠ABC = 3(3°) + 33° = 9°+ 33° = 42°
∠CBD = 5(3°) + 13° = 15° + 13° = 28°
Hope this helps.
the answers are 5.)b 6.)c.
Answer:
A. The woman is relatively taller because the z score for her height is greater than the z score for the man's height.
Step-by-step explanation:
Whoever has the highest z-score, is taller relative to the population of the same gender.
The z-score of a value X in a set with mean 
and standard deviation 
is given by:
Solution:
Heights of men have a mean of 170 cm and a standard deviation of 6 cm. One of the tallest living men has a height of 236 cm. So the z-score of his height is:
Heights of women have a mean of 161 cm and a standard deviation of 5 cm.
One of the tallest living women is 224 cm tall. The z-score of the women's height is
The women has a higher z-score, so she is relatively taller.
The correct answer is A
