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3 years ago

Question:

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

3 0

Answer:

Step 1:

Addition is commutative

A + B = B + A

So the terms can be rearranged

Step 4:

2x(2x - 3) + 5(2x - 3)

Since (2x - 3) is common to both terms,

You can take it common

(2x - 3)(2x + 5)

This can be proved verified using distribution property

(2x - 3)(2x + 5) is the same as

(2x + 5)(2x - 3) because multiplication is commutative

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3 years ago

If P(C)=.29, P(D)=.47 and P(C and )= 0, are the events C and D mutually exclusive? Find P(C or D)

abruzzese [7]

Answer:

Step-by-step explanation:

note : P(C or D) = P(C)+P(D) - P(C and )

P(C or D) =0.29+0.47- 0

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3 years ago

"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place o

Mariulka [41]

Answer:

11.2 miles

Step-by-step explanation:

We can create a triangle from the information given.

We can call the starting point (0,0) in the coordinate system.

10 mi east - 10 miles to the right. then,
5 mi north - 5 miles above

See the attached picture. The direct distance is labeled as x.

Now we need to find x using pythagorean theorem.

Pythagorean Theorem = leg²+leg²=hypotenuse²

Solving for x:

$10^2+5^2=x^2\\100+25=x^2\\125=x^2\\x=\sqrt{125}\\x=11.18$

Rounding to nearest tenth, we have 11.2 miles

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3 years ago

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Find an equation of the line perpendicular to the graph of 15x-5y=7 that passes through the point at (0,-4)

shusha [124]

Perpendicular lines have slopes that multiply to -1
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so the slope is -1/3

so
y=-1/3x+b
we use the point (0,-4)
x=0 and y=-4
-4=-1/3(0)+b
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y=(-1/3)x-4 is da equation

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tangare [24]

I’m pretty sure it’s false

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3 years ago

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