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3 years ago

20+8y-9y-21 which expression is equivalent

1 answer:

4 0

Since you didn't provide expression to see which one is equivalent,, I will simply solve the expression you provided. If you need help finding out which expression option is equivalent after I solve this for you,, let me know and I would be more than happy to help you figure it out.
The first step for solving this expression is to calculate the difference between 20 and 21. We can start solving this by keeping the sign of the number with the larger absolute value and subtract the smaller absolute value from it. This will look like the following:
-(21 - 20)
Now subtract the numbers and add it back into the expression.
-1 + 8y - 9y
Next we need to collect the like terms with a y variable by subtracting their coefficients.
(8 - 9)y
Calculate the difference in the parenthesis.
-1y
Remember that when the term has a coefficient of -1,, the number doesn't have to be written but the sign must remain.
-y
Lastly,, add this back into the expression to get your final answer.
-1 - y
Let me know if you have any further questions.
:)

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1. Solve triangle ABC if A = 42.3º, b = 12.9 meters, and c = 15.4 meters.

kumpel [21]

Answer:

a = 10.36m

B = 47.7º

C = 90º

Step-by-step explanation:

we know the angle of A so we do the sin of A; Spoiler: its 0.67

0.67 = a / 15.4

0.67 * 15.4 = a

a = 10.36

----------

B = 90 - 42.3 = 47.7º

6 0

3 years ago

Olve for x. Check each step or answer that is correct. 34(x + 4) = 14(x + 8) (A) Distribute 34 on the left side of the equation.

Fantom [35]

Answer:

x = -1.2

Step-by-step explanation:

Th given equation is :

34(x + 4) = 14(x + 8)

Step (A) Distribute 34 on the left side of the equation such as :

34x + 34(4) = 14(x + 8)

34x + 136 = 14(x + 8)

Step (B) Distribute 14 on the right side of the equation such as :

34x + 136 = 14x + 14(8)

34x + 136 = 14x + 112

Step (C) Subtract 14x from each side of the equation.

34x + 136 - 14x = 14x + 112 -14x

20x + 136 = 112

Step (D) Subtract 136 from each side of the equation.

20x + 136 -136 = 112 -136

20x = -24

Step (E) Divide both side by 20

$\dfrac{20x}{20}=\dfrac{-24}{20}\\\\x=-1.2$

So, the value of x is (-1.2). Hence, steps (D) and (E) are incorrect.

3 0

3 years ago

Find the volume of the prism.

wlad13 [49]

Answer:

what prism exactly?

Step-by-step explanation:

repost the question with the prism

4 0

3 years ago

Given that OA = 2x + 9y , OB = 4x + 8y and CD = 4x - 2y , explain the geometrical relationships between the straight line AB and

slava [35]

The geometrical relationships between the straight lines AB and CD is that they are parallel to each other

<h3>How to determine the relationship</h3>

It is important to note the following;

A drawn from the origin and passes through point A (a , b), then the equation of OA = ax + by

If a line is drawn from the origin and passes through point B (c , d), then the equation of OB = cx + dy

We find the equation of AB by subtracting OB from OA, thus AB = (c - a)x + (d - b)y

The slope of line AB =

⇒ OA= 2 x + 9 y

⇒ OA = 4 x + 8 y

⇒AB = OB - OA

⇒AB = (4 x + 8 y) - (2 x + 9 y)

⇒ AB = 4 x + 8 y - 2 x - 9 y

Collect like terms

⇒ AB = (4 x - 2 x) + (8 y - 9 y)

⇒AB = 2 x + -y

⇒ AB = 2 x - y

⇒ Coefficient of x = 2

⇒ Coefficient of y = -1

⇒ The slope of ab = $\frac{-2}{-1}$ = 2

For CD

⇒ CD = 4 x - 2 y

⇒Coefficient of x = -4

⇒ Coefficient of y = -2

⇒The slope of cd = $\frac{-4}{-2}$ = 2

Note that Parallel lines have same slopes

And Slope of ab = slope of cd

AB // CD

Therefore, the geometrical relationships between the straight lines AB and CD is that they are parallel to each other

Learn more about parallel lines here:

brainly.com/question/24607467

#SPJ1

4 0

2 years ago

How do you determine whether a system of linear equations has no solutions, one solution, or infinitely many solutions?

Charra [1.4K]

The answer to this is

<span> If the lines are the same, the equations are dependent linear equations. Using the graph of y = x and x + 2y = 6, shown below, determine how many solutions the system has. Then classify the system as consistent or inconsistent and the equations as dependent or independent. The lines intersect at one point.</span>

Hope This Helps!
:D

4 0

3 years ago