Answer:
y = ⅔x - 5
Step-by-step explanation:
To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.
Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.
Rewrite 2x - 3y = 24 in slope-intercept form.
Thus:
2x - 3y = 24
-3y = -2x + 24
y = ⅔x - 12
The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.
To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)
Thus:
y - (-7) = ⅔(x - (-3))
y + 7 = ⅔(x + 3)
y + 7 = ⅔x + 2
y = ⅔x + 2 - 7
y = ⅔x - 5
Answer:
Each peice is 1 1/3 (4/3) long.
Step by step explanation:
10 2/3 divided by 8
10 2/3 = 32/3
32/3 divided by 8 = 32/3 x 1/8
32 times 1 = 32, 3 times 8 = 24 =32/24
32/24 in simplest form is 4/3 (aka 1 1/3)
Hope this helped! :)
447 is the distance between the numbers
9514 1404 393
Answer:
I, III
Step-by-step explanation:
You know from your study of the Pythagorean theorem that a triangle with sides 3, 4, and 5 will be a right triangle. Any scaled version of this triangle will also be a right triangle, so it is helpful to learn to recognize when scaled values of these numbers are used.
I -- the scale factor for a 3-4-5 right triangle is 2/10
II -- no isosceles right triangle has integer side lengths. (not a right triangle)
III -- the scale factor for a 3-4-5 right triangle is 1/13
IV -- the lengths do not form a triangle
Triangles I and III are right triangles.
_____
<em>Additional comment</em>
The sides of an isosceles right triangle have the ratios 1 : 1 : √2. The square root of 2 is irrational. No scaled version of this triangle can have rational side lengths.
Answer:
<h2>y = 32 (Verified Answer) ✅</h2>
Step-by-step explanation:
We will use a proportion to solve this.
Now, we cross multiply.
2y = 16 x 4
2y = 64
Now, we must divide by 2 to get the correct value for y
y = 64/2
y = 32
Now, we can use the same proportion to check our answer.
2(32) = 16 x 4
64 = 64 ✅
