MATHEMATICS MIDDLE SCHOOL

Which of the following equations is equivalent to the equation 6x – y = 1?A. y = 6x – 1
B. y = 6x + 1
C. y = -6x + 1
D. y = -6x – 1

Answers

Answer 1
Answer:

The expression into an equivalent form would be;  A. y = 6x – 1

What are equivalent expressions?

Those expressions that might look different but their simplified forms are the same expressions are called equivalentexpressions.

To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need to the expression into an equivalent form.

This expression could also be given as

6x – y = 1

Now, we know that:

6x – y = 1

6x = y + 1

y = 6x - 1

Hence, the required expression into an equivalent form 6x – y = 1 would be;  y = 6x - 1

Learn more about expression here;

brainly.com/question/14083225

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Answer 2
Answer:

Answer:

A. y = 6x – 1

Step-by-step explanation:

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What is the volume enclosed by the slanted prism in the diagram 225cm
270cm
300cm
540cm

Answers

To find the volume of a slanted prism, all you need to know is the area of the base and the height of prism. If you know these two things, then the volume of a prism can be calculated using formula

V_(prism)=A_(base)\cdot H_(prism).

Since A_(base)=25 cm^2 and H_(prism)=9 cm, you have

V_(prism)=25\cdot 9=225 cm^3.

Answer: correct choice is A.
we know that
volume of the slanted prism is equal to
V=B*h
where
B is the area of the base------> B=25 cm^(2)
h is the height of the prism-----> h=9 cm
so
V=25*9 \n V=225 cm^(2)

the answer is the option 
225 cm^(2)

What is the opposite of the rational number -7.8

Answers

The opposite of the number -7.8 is 7.8
Opposite numbers are the numbers with the same magnitude but different signs. so the opposite of the -7.8 is 7.8 :)))
i hope this is helpful
have a nice day

What is equivalent to
3/5 in fraction

Answers

Multiply both the numerator (top) and denominator (bottom) by anynumber (the same for both), and you'll have a fraction that isequivalent to the fraction you gave.

For example, multiply both by 2, and you have 6/10, which is equivalentto 3/5. Multiply both by 8, and you have 24/40, which is alsoequivalent to 3/5.

You are flying from Denver to Albuquerque. The distance is 349 miles between airports and takes 1 hour and 20 minutes to travel once the plane is in the air. It takes approximately 2 hours to check in to the airport and get seated. It takes 1 hour after seating for the plane to take off. It takes 1 hour once at the air port to disembark, and 1 hour to get a rental car and get back on the road. The whole trip can be driven by car in 6 hours. Which trip is faster: Car or plane?

Answers

Answer:

  • car trip is faster than plane trip

Step-by-step explanation:

The less time the trip takes the faster the trip is.

1. Plane: build a table with the given times for flying and sum up every stage of the flying trip:

Stage                                                 time

  • On air                                       1 h: 20'
  • Check in and get seated        2 h
  • To take off                                1 h
  • Disembark                                1 h
  • Get a rental car                        1 h

                                                        ______

                                      Sum            6 h: 20'

2. Car.

  • Given total time: 6 h

3. Comparisson: 6 h < 6 h : 20' ⇒ car trip is faster than plane trip

Find the exact values of sin θ/2 and cos θ/2 for sin θ = 3/4 on the interval 0° ≤ θ ≤ 90°

Answers

Answer:

Step-by-step explanation:

If our interval is between 0 and 90 degrees, that means that our angles are first quadrant angles.  Since the formulas for the half angles of sin and cos consider both the positive and negative roots, knowing that we are in QI leaves us using only the principle, or positive, root.  

Also, if we know that the sin of angle is 3/4, we can set up a right triangle in QI and find the missing side of that triangle using Pythagorean's Theorem. Sin of an angle is the ratio opposite side/hypotenuse.  That means that, according to Pythagorean's Theorem,

4^2=3^2+b^2 and

16-9=b^2 and

b=√(7)

Now for the forula for the sin of a half-angle:

sin((\theta)/(2))=\sqrt{(1-cos\theta)/(2) }

Referring to the right triangle we created and found the missing side for, we see that the cosine of that same triangle is (√(7) )/(4)

Filling in the formula then:

sin((\theta)/(2))=\sqrt{(1-(√(7) )/(4) )/(2) }

Get a common denominator on the upper fraction:

sin((\theta)/(2))=\sqrt{((4-√(7) )/(4) )/(2) }

Bring up the 2 as 1/2 to multiply and get:

sin((\theta)/(2))=\sqrt{(4-√(7) )/(8) }

When you do the exact same thing to find the cos of the half angle, you are using a + sign instead of a - sign under the radical.  That gives you as your exact value:

cos((\theta)/(2))=\sqrt{(4+√(7) )/(8) }

Bx30=m

which is the dependent and independent variable

Answers

B * 30 = m

The dependent variable is m. Its value changes when B changes.
The independent variable is B. It does not rely on anything for it to change its value.
30 is the constant of the equation. This means that its value does not change even if changes occur in the equation as a whole.
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