Answer:
B. 24 is 4 times as many as 6
Step-by-step explanation:
6 x 4 = 24
Additionally, the model shows 4 groups of 6 being equal to 24.
Therefor, 24 is 4 times as many as 6.
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Answer:
The equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:
Step-by-step explanation:
Given the equation
y + 5 = 3(x - 1)
Writing in the slope-intercept form
y=mx+b
where m is the slope and b is the y-intercept
y = 3(x-1) -5
y = 3x-3-5
y = 3x - 8
Thus, the slope = m = 3
We know that the parallel lines have equal slopes.
So, the slope of a parallel line is also 3
Using the point-slope form of the line equation

substituting the values m = 3 and the point (3, -4)
y-(-4)=3(x-3)
y+4 = 3x-9
y = 3x-9-4
y = 3x-13
Thus, the equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:
Answer:
The triangle ABC is an isosceles right triangle
Step-by-step explanation:
we have
The coordinates of triangle ABC are
A (0, 2), B (2, 5), and C (−1, 7)
we know that
An isosceles triangle has two equal sides and two equal internal angles
The formula to calculate the distance between two points is equal to

step 1
Find the distance AB
substitute in the formula



step 2
Find the distance BC
substitute in the formula



step 3
Find the distance AC
substitute in the formula



step 4
Compare the length sides




therefore
Is an isosceles triangle
Applying the Pythagoras Theorem

substitute


-----> is true
therefore
Is an isosceles right triangle
If you would like to divide 3 and 1/6/(-9), you can do it using the following steps:
3 / 1/6/(-9) = 3/1 / 1/6/(-9) = 3/1 * (-9)/1/6 = -27 / 1/6 = -27 * 6 = -162
The result you get is -162.