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3 years ago

Your Turn: Using the figure, a

Mathematics

1 answer:

yawa3891 [41]3 years ago

4 0

The first thing you should see in this case is that the triangles are proportional.
We have then that:
((a) / (c)) = ((d) / (a))
Step 1:
Go a multiplying:
((a) / (c)) * (a) = (d)
Step 2:
Pass c multiplying:
(a) * (a) = (d) * (c)
Step 3:
Same basis, exponents are added:
a ^ (1 + 1) = (d) * (c)
Step 4:
a ^ 2 = c * d
Finally
((a) / (c)) = ((d) / (a)) -------> a ^ 2 = c * d

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Which expression is not equivalent to the other three?

Kitty [74]

The right answer is B.

The first step to answering this question is combining all like terms.

A. 2x + 2 + 2x + 3x - 8
The like terms in this expression are the x terms and the constants
So, what you would do is combine all of the x terms and combine all of the constants

(2x + 2x +3x) + (2 - 8)
7x - 6

B. 4 + 7x - 2
In this expression, you would combine all of the constants

7x + (4 - 2)
7x + 2

C. -2 + 5x + 2x - 4
For this expression, you would again, combine all of the x terms and all of the constants.

-2 + 5x + 2x - 4
(5x + 2x) + (-2 - 4)
7x - 6

D. 8x - x - 6
For this expression, you would combine all of the x terms

8x - x - 6
(8x - x) - 6
7x - 6

Now let's look at all of the new answer choices:
A. 7x - 6
B. 7x + 2
C. 7x - 6
D. 7x - 6

The question is asking you to find the one expression that's different. The only different one is B, so that's the answer.

7 0

4 years ago

Read 2 more answers

A boat takes 3.6 h to travel downstream from its dock to a fishing hole. If the water were still, it would have taken 4.5 h to m

salantis [7]

Given:

t1 = 3.6 h
t2 = 4.5 h
x = speed of boat
y = speed of water

Required:
a) Expression of distance traveled with moving water with 3.6h
Expression of distance traveled with moving water with 4.5h
b) Solve for y
c) Percent of boat's speed is the water current

Solution:

Working formula: distance = velocity*time

a) For travelling downstream, we get the equation

d = (x +y)*3.6

For travelling upstream, we get the equation

d = (x-y)*4.5

b) Setting the distance as equal for travelling upstream or downstream, we arrive at the equation of

(x+y)*3.6 = (x-y)*4.5
3.6x + 3.6y = 4.5x - 4.5y
8.1y =0.9x
y = x/9

c) percentage = 1/9*100% = 11.1%

ANSWERS: a) d = (x+y)*36; d = (x-y)*4.5
 b) y = x/9
 c) 11.1%

3 0

3 years ago

The sum of the two digits of a number is 9. If the tens digit is one-half the units digit, what is the number? Let t = the tens

soldi70 [24.7K]

The second condition tells you that $t$ is half the size of $u$ , so $t=\dfrac12u$ , which could be rewritten in several ways. In standard form, that would be $2t-u=0$ .

3 0

4 years ago

Read 2 more answers

Factor f(x)=x2−8x+16 (A) (x−4)2 (B) (x+8)2 (C) (x−8)2 (D) (x+4)2

Fynjy0 [20]

Answer:

Step-by-step explanation:

(x-4)^2 = x^2 -4x -4x + (-4)*(-4)

= x^2-8x+16 as required

3 0

3 years ago

A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets

Paraphin [41]

Answer:

Divide the 1st equation by 2

a + 2c = 19

Divide the 2nd equation by 3

a + c = 13.5

Subtract the 1st equation and the 2nd equation

c = 5.5

Substituting back into the 2nd equation will give:

a + 5.5 = 13.5

a = 8

Step-by-step explanation:

8 0

4 years ago