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-BARSIC- [3]
3 years ago
14

Twice a number decreased by 11 is -23

Mathematics
1 answer:
strojnjashka [21]3 years ago
7 0

Twice a number decreased by 11 is -23

Let the number be x

So we get the equation

2x -11 = -23

Add 11 to both sides

2x = -12

Divide both sides by 2

x = -6

So the number is -6

Negative 6

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Triangle ABC with vertices A(2, 4) , B(4, 0) , and C(6, 6) is dilated about the origin to be triangle A′B′C′ .
natka813 [3]

Answer:

Triangle ABC is dilated by a scale factor of 1.5

Step-by-step explanation:

The general rule for the dilation about the origin with a factor of k is

(x,y)\rightarrow (kx,ky)

You are given two triangles ABC and A'B'C'.

In triangle ABC:

  • A(2,4)
  • B(4,0)
  • C(6,6)

From the diagram, in triangle A'B'C':

  • A'(3,6)
  • B'(6,0)
  • C'(9,9)

As you can see

  • A(2,4)\rightarrow A'\left(\dfrac{3}{2}\cdot 2,\ \dfrac{3}{2}\cdot 4\right)=A'(3,6)
  • B(4,0)\rightarrow B'\left(\dfrac{3}{2}\cdot 4,\ \dfrac{3}{2}\cdot 0\right)=B'(6,0)
  • C(6,6)\rightarrow C'\left(\dfrac{3}{2}\cdot 6,\ \dfrac{3}{2}\cdot 6\right)=C'(9,9)

So, triangle ABC is dilated by a scale factor of \dfrac{3}{2}=1.5

8 0
4 years ago
Read 2 more answers
Plot the following fractions and decimals on the number line.
OLga [1]

Answer:

hmmmmmmmm, cool

well, here ya go

Step-by-step explanation:

0.7 is AKA 7/10, which is a little less than 3/4, AKA 0.75, so in between 3/4 and 1

1/3 is larger than 1/4 but smaller than 1/2, so prob somewhere in the middle of those two.

8/7, since the numerator is larger than the denominator, is larger than 1 by 1/7, so goes right in front of 1.

0.4, AKA 4/10,  is a little less than 1/2, AKA 0.5, but larger than 1/3, AKA 0.333333333(goes on forever) so it goes in the middle of those

0.125, AKA 1/8, is the smallest of the bunch, and it's half of 1/4, AKA 0.25. That means its dead last, half between 1/4 and 0.

5/6 is the largest, around 8.333333(more foreverness)/10, which is larger than 3/4, AKA 0.75, so it goes between that and 1.

So, for your final answer:

0---0.125---1/4---1/3---0.4---1/2---0.7---3/4---5/6---1---8/7

I am not sure if thats what your structure for the question is, so I hope that that order helps. i could also put it in all decimals if it helps,  or all fractions, so let me know in the comments.

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Anna71 [15]

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velikii [3]

Answer:

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4 × y - y = 36

4y - y = 36

Combining 4y and -y to get 3y

3y = 36

Dividing both sides by 3

y = 36/3

y = 12.

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