A
If you put them all into decimal form you get .1, .3, .9
The linear equation in standard form is:
6x - 7y = -11
Which is the last option.
<h3>
How to get the equation of the line?</h3>
The line in slope-intercept form is written as:
y = a*x + b
We can see that the line passes through the points (-3, -1) and (1/2, 2), then the slope is:
Then we can write:
y = (6/7)*x + b
To find the value of b, we use the first point. It means that when x = -3, the value of y is -1, then we get:
-1 = (6/7)*-3 + b
-1 + 18/7 = b
-7/7 + 18/7 = b
11/7 = b
Then the equation is:
y = (6/7)*x + 11/7
If we multiply both sides by 7 we get:
7y = 6x + 11
Now we move the term with "x" to the left:
7y - 6x = 11
That is the line in standard form.
If we multiply both sides by -1, we get the last option:
6x - 7y = -11
If you want to learn more about linear equations:
brainly.com/question/1884491
#SPJ1
The total number of arrangements of three letters followed by three digits is then the product of the number of options available at each step and is then 26⋅26⋅26⋅10⋅10⋅10=263⋅103 hope this helps!! also don’t open the link the other person posted, it’s a virus
To solve this problem, first let us calculate for the
total space of the storage area:
Total storage space = (6 square feet / person) (12
persons)
Total storage space = 72 square feet
Since this storage space is only equivalent to 15% of the
total garage space, therefore we can write the equation:
(0.15) total space = total storage space
total space = total storage space / 0.15
Then calculating for the total space by substitution of
the variable:
total space = 72 square feet / 0.15
total space = 480 square feet
<span>Therefore Mr. Thompson has a total space of 480 square
feet.</span>
X=-1/8y^2
If the Vertex is at the origin: V=(h,k)=(0,0)→h=0, k=0
y^2=4px
(-8)(x=-1/8y^2)
-8x=y^2
y^2=-8x
4p=-8
Solving for p:
4p/4=-8/4
p=-2<0 (negative)→The parabola opens to the left
Focus: F=(p,0)→F=(-2,0)
Drectrix: x=-p=-(-2)→Directrix: x=2
Answers:
Focus=(-2,0)
Directrix: x=2
