The figure is reflected across the x-axis and dilation by a scale factor of 3

1 answer:

5 0

Example:
Area =
4
√
3

c
m
2

Dilated by scale factor
4
≈
110.85

c
m
2

Dilated by scale factor
3
≈
997.66

c
m
2
To get from
4
√
3

c
m
2
to
997.66

c
m
2
, you would use a scale factor of

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Can someone plz help me?

Sav [38]

Answer:

The first graph

Step-by-step explanation:

-2a - 5 > 3

-2a > 8

a < -4 (when divided by a negative number, the inequality sign will be flipped)

Therefor the first graph shows the solutions

4 0

4 years ago

Please helpppp it has to do with P(A U B)

Katyanochek1 [597]

$P(A)=0.5$ , $P(B)=0.6$ , $P(A\cup B)=0.8$

We find the probability of intersection using the inclusion/exclusion principle:

$P(A\cap B)=P(A)+P(B)-P(A\cup B)=0.3$

By definition of conditional probability,

$P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{0.3}{0.6}=0.5$

For $A$ and $B$ to be independent, we must have

$P(A\cap B)=P(A)\cdot P(B)$

in which case we have $0.3=0.5\cdot0.6$ , which is true, so $A$ and $B$ are indeed independent.

Or, to establish independence another way, in terms of conditional probability, we must have

$P(A\mid B)\cdot P(B)=P(A)\cdot P(B)\implies P(A\mid B)=P(A)$

which is also true.

7 0

3 years ago

PLEASE HELP ASAP

rusak2 [61]

There's a lot of different approaches to this question, but the easiest one I see is this:

If a chord goes through the center of the circle, it is a diameter. That's 180 degrees we don't have to worry about. 47 is an inscribed angle, so we can multiply it by two to get 94 degrees. Subtract 94 from 180 to get 86.

See y? It's also an inscribed angle. To get it, we just take the 86 we just found for the remaining arc and divide by two.

The measure of y is 43.

5 0

3 years ago

Read 2 more answers

Factor completely 2x3 + 6x2 + 2x + 6.

katovenus [111]

The answer is 2(x + 3)(x^2 + 1).

Steps:

2x^3 + 6x^2 + 2x + 6

2x^3 + 2x + 6x^2 + 6

2x(x^2 + 1) + 6(x^2 + 1)