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4 years ago

AWSWER QUICK WILL GIVE 25+ BRAINLIEST

Mathematics

2 answers:

Andrej [43]4 years ago

8 0

Answer:

(-6,-2)

Step-by-step explanation:

if you substitute y=-1/3x-4 into the first equation and simplify you get x=-6. then you substitute -6 into y=-1/3x-4 and get y=-2

MAVERICK [17]4 years ago

6 0

your answer would be A. (–6, –2)

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Dilate the the triangle, scale factor = 3 (positive 3, ignore the

HACTEHA [7]

Answer:

The rule of dilation is $P'(x,y) = 3\cdot P(x,y)$ .

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

$P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation, dimensionless.

$k$ - Scale factor, dimensionless.

$P(x,y)$ - Original point, dimensionless.

$P'(x,y)$ - Dilated point, dimensionless.

If we know that $O(x,y) = (0,0)$ , $k = 3$ , $A(x,y) = (-7,-6)$ , $B(x,y) = (-5,-2)$ and $C(x,y) =(-1,-5)$ , then dilated points of triangle ABC are, respectively:

$A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)]$ (2)

$A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)]$

$A'(x,y) = (-21, -18)$

$B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)]$ (3)

$B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)]$

$B'(x,y) = (-15,-10)$

$C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]$ (4)

$C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)]$

$C'(x,y) = (-3,-15)$

The rule of dilation is:

$P'(x,y) = 3\cdot P(x,y)$ (5)

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

7 0

3 years ago

Buster is a puppy who loves playing inside cardboard boxes. Buster's favorite box is shaped like a big cube and is thirty inches

Finger [1]

Answer:

27000 inches^3

Step-by-step explanation:

The volume of a cube is sidelength^3.

The side length is 30 inches, so the volume is 30^3 = 27000 inches^3.

8 0

3 years ago

How can you take 2 letters from a 5 letter word and still have 6 left?

MrRa [10]

6 what left? is "six" ok? if "six" instead of 6 letters is meant here, then you can:

the initial word is "Sixty"

You take "ty" away, you have six... which is 6!

7 0

4 years ago

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For each set of side listed determine if the given triangle is right triangle, obtuse or acute

nasty-shy [4]

Right triangle. You can tell because of the tiny square in the corner. This indicated that angle is equal to 90°. Any triangle that has 90° is a right triangle

3 0

3 years ago

When we subtract (-10) from 7 we get which answer

kodGreya [7K]

Answer:

You would get 17

Step-by-step explanation:

7 - (-10) = 17

Hope this helps!

4 0

3 years ago

Read 2 more answers