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3 years ago

What property justifies this statement

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

4 0

Answer:

B. SUBTRACTION PROPERTY OF EQUALITY

Step-by-step explanation:

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What is the y-intercept of y = -4/3x + 4?

Reika [66]

Hello :
the y-intercept of y = -4/3x + 4 when x=0 : y= (-4/3)(0)+4=4
Answer : A) (0, 4)

7 0

3 years ago

If sinA=√3-1/2√2,then prove that cos2A=√3/2 prove that

Ivan

Answer:

$\boxed{\sf cos2A =\dfrac{\sqrt3}{2}}$

Step-by-step explanation:

Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .

Given :-

• $\sf\implies sinA =\dfrac{\sqrt3-1}{2\sqrt2}$

To Prove :-

• $\sf\implies cos2A =\dfrac{\sqrt3}{2}$

Proof :-

We know that ,

$\sf\implies cos2A = 1 - 2sin^2A$

Therefore , here substituting the value of sinA , we have ,

$\sf\implies cos2A = 1 - 2\bigg( \dfrac{\sqrt3-1}{2\sqrt2}\bigg)^2$

Simplify the whole square ,

$\sf\implies cos2A = 1 -2\times \dfrac{ 3 +1-2\sqrt3}{8}$

Add the numbers in numerator ,

$\sf\implies cos2A = 1-2\times \dfrac{4-2\sqrt3}{8}$

Multiply it by 2 ,

$\sf\implies cos2A = 1 - \dfrac{ 4-2\sqrt3}{4}$

Take out 2 common from the numerator ,

$\sf\implies cos2A = 1-\dfrac{2(2-\sqrt3)}{4}$

Simplify ,

$\sf\implies cos2A = 1 -\dfrac{ 2-\sqrt3}{2}$

Subtract the numbers ,

$\sf\implies cos2A = \dfrac{ 2-2+\sqrt3}{2}$

Simplify,

$\sf\implies \boxed{\pink{\sf cos2A =\dfrac{\sqrt3}{2}} }$

Hence Proved !

8 0

3 years ago

The probability that a region prone to hurricanes will be hit by a hurricane in any single year is 0.1 and independent of other

ludmilkaskok [199]

Answer:

0.40951

Step-by-step explanation:

P(none in five years) = 1 - 0.1 = 0.9

P(at least one) = 1 - P(none in five years)

= 1 - $0.9^{5}$

= 1 - 0.59049

= 0.40951

So the probability of a hurricane hit at least once in the next 5 years is 0.40951

8 0

3 years ago

hichkok12 [17]

Delete this answer please.

6 0

3 years ago

What is the area of the parallelogram?

NNADVOKAT [17]

Answer: D

Step-by-step explanation:

5x6=30

3 0

4 years ago

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