the length of a rectangle is 3 times its width. the rectangle's width is 4 m. what is area of the rectangle?​

Answers

Answer 1
Answer:

when width is 4 and length is 3 times greater than it so length is 12m                                    now, area=length x breadth  =12mx 4m =48m²

Step-by-step explanation:


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Simplify 1/2/5 please.

Answers

Answer:

0.1

Step-by-step explanation:

(1/2)/5 = 0.1

Answer:

Step-by-step explanation:

1/2 x 1/5 = 1/10

What is 2,200 yards in miles? Round to the nearest tenth of a mile.

Answers

There are 1.3 miles in 2,200 yards.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

2,200 yards ____(1)

1 mile = 1760 yards _____(2)

Now,

From (1) and (2),

1 mile = 1760 yards

Multiply 2,200/1760 on both sides.

2,200/1760 x 1 mile = 2,200/1760 x 1760 yards

1.25 miles = 2,200 yards

Rounding to the nearest tenths.

1.3 miles = 2,200 yards

Thus,

There are 1.3 miles in 2,200 yards.

Learn more about unitconversion here:

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Answer:

1.25 mi

Step-by-step explanation:

First, we want to convert a yard into feet; recall 1 yard = 3 feet.

Then we want to divide that by the number of feet in a mile 1 mile = 5280feet.

So 2200*3 =6600, then divide by 5280

6600/5280 = 1.25 mi

2200 yard is 1.25 miles

What number can multiply to 8 but add up to 12

Answers

I don't think the numbers exist. 6 and 2 don't work because 6 * 2 does not equal 8. If you were solving a quadratic equation by factoring and you needed to find the two numbers, and you can't find them, you can solve the quadratic equation by using the quadratic formula.
Its 2 and 6
2*6=12
2+6=8

A line has a rise of 3 and a run of 12. What is the slope?

Answers

Answer:

Slope = rise/run =3/12 =1/4

Step-by-step explanation:

Slope is defined as the rate of change of y wrt x.

Rate of change of y is sometimes named as rise and rate of change of x is named as run.

Given that Rate of change of y i.e. rise is 3 and rate of change of x i.e. run is 12.

Hence slope = 3/12 =0.25

the slope is 
    3
---------
    12

Solve the equation by completing the square. If necessary, round to the nearest hundredth. x² – 18x = 19
1; 19
–1; 19
3; 6
–3; 1

Answers

Answer:

Option B. x = -1, 19

Step-by-step explanation:

The given equation is x² - 18x = 19

We can get the value of x by factorizing the expression or by quadratic formula.

We will try to factorize the equation first. If we find no factors then we will apply quadratic formula to get the value of x.

x² - 18x - 19 = 0

x² - 19x + x - 19 = 0

x(x - 19) + 1(x - 19) = 0

(x - 19)(x + 1) = 0

x = 19, -1 will be the solutions.

So there is no need to apply quadratic formula.

Option B. x = -1, 19 is the answer.

ax^2+bx=c
REMEMBER THIS

ok
first, make sure that a is 1
done

now take 1/2 of b and square it

-18/2=-9, (-9)^2=81
add that to both sides

x²-18x+81=19+81
x²-18x+81=99
factor perfect square
(x-9)²=100
square root both sides
don't forget positive and negative root
x-9=10
x-9=-10
ad 9 to both sides

x=19
x=-1




answer is -1; 19

2nd choice is answer

Which of the following equations is of a parabola with a vertex at (0, -3)?y = (x - 3)^2
y = (x + 3)^2
y = x^2 - 3
y = x^2 + 3

Answers

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

We need a parabola with a vertex at (0,-3)

If we select the equation:

y = x^2 - 3

When we put x = 0, we get

y=0-3\n\ny=-3

And similarly, when we put y = -3, we get

-3=x^2-3\n\n0=x^2\n\nx=0

Hence, third option is correct.

The\ vertx\ form:y=a(x-h)^2+k\nwhere\ the\ coordinates\ of\ vertex\ are\ (h;\ k)\n\n-------------------------\n\nvertex:(0;-3)\n\ny=a(x-0)^2+(-3)=ax^2-3\n\nif\ a=1\ then\ y=x^2-3\leftarrow answer