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RSB [31]
3 years ago
6

Match each equation on the left to the mathematical property it uses on the right.

Mathematics
1 answer:
otez555 [7]3 years ago
3 0

Answer:

a) (1 + 5) + 2 = 2 + (1 + 5)

Associative property of addition

b) 5(2x + 3) = 10x + 15

distributive property

c) (2.x). 7 = 2. (x · 7)

associative property of multiplication

d) (3 . x . 4) = (4.x .3)

commutative property of multiplication

e) (4 + 2) + 6 = 4+ (2 + 6)

associative property of addition

Step-by-step explanation:

We have to give properties for each equation.

a) (1 + 5) + 2 = 2 + (1 + 5)

Associative property of addition as (a+b)+c= a+(b+c)

b) 5(2x + 3) = 10x + 15

distributive property as a(b+c)=ab+ac

c) (2.x). 7 = 2. (x · 7)

associative property of multiplication as (a.b).c = a.(b.c)

d) (3 . x . 4) = (4.x .3)  (Assuming typing mistake in question)

commutative property of multiplication = a x b = b x a

e) (4 + 2) + 6 = 4+ (2 + 6)

associative property of addition as (a+b)+c= a+(b+c)

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Use logarithmic differentiation to find dy/dx if y=(cosx)sinx. Write the derivative in terms of x only. Show all your work.
gladu [14]

Step-by-step explanation:

y = (cos x)^(sin x)

Take log both sides.

ln y = ln ((cos x)^(sin x))

ln y = (sin x) ln (cos x)

Take derivative.

1/y dy/dx = (sin x) (1/cos x) (-sin x) + (cos x) ln (cos x)

dy/dx = y [ (cos x) ln (cos x) − sin x tan x ]

dy/dx = (cos x)^(sin x) [ (cos x) ln (cos x) − sin x tan x ]

Your answer is correct.

7 0
3 years ago
Read 2 more answers
1a. 182 Freshmen were surveyed on whether they participate in a sport. 110 said yes, 40 boys said no, 90 girls were in the surve
Bas_tet [7]

Answer:

           yes    no     total

girls     58     32     90

boys    52     40     92

total     110    72     182

Step-by-step explanation:

if 182 freshmen were surveyed and 110 said yes, then 182 - 110 = 72 said no

if 40 boys said no, then 72 - 40 = 32 girls said no

if 90 girls were surveyed, then 182 - 90 = 92 boys were surveyed

if 40 boys said no, then 92 - 40 = 52 said yes

if 32 girls said no, then 90 - 32 = 58 said yes

3 0
3 years ago
Please help I need to do this ASAP!!
labwork [276]
Yah I can’t see it either
8 0
3 years ago
Can you help me on this one
Annette [7]

Answer: B. Line AC is congruent to line BD

Step-by-step explanation:

The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

Since they both share Leg DC, their hypotenuse should be congruent to use this proof.

3 0
3 years ago
PLEASE HELP!!! which expression is equivalent to (3x)^4
dolphi86 [110]
The answer is b because youre multiplying 3 and 4 but the 4 stays in the same spot!
7 0
3 years ago
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