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DanielleElmas [232]
3 years ago
15

Which equations are equivalent to ? Check all that apply. X 4 = 64 60 = x.

Mathematics
1 answer:
hram777 [196]3 years ago
5 0

You can use the fact that equivalent equations are such that one equation can be obtained by performing some operations(which doesn't break equality) on the other equation and vice versa.

The equivalent equation to x + 4 = 64 is x = 60

<h3>What are equivalent equations?</h3>

Equivalent equations are such that one equation can be obtained by performing some operations(which doesn't break equality) on the other equation and vice versa.

<h3>How to get the equivalent equation of the given equation?</h3>

The given equation is

x + 4 = 64

Subtracting 4 from both sides, we get

x + 4 - 4 = 64 - 4\\x = 60

Thus, one equivalent equation to the given equation is x = 60

The equivalent equation to x + 4 = 64 is x = 60

Learn more cases of equivalent equations here:

brainly.com/question/14332869

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<span>For the answer to this question,

Let x = depth of the gutter
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18 - 2x = width of the gutter
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A = 18x - 2x^2
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Axis of symmetry will give x value for max area:

x = -b/(2a)
x = -18/(2x(-2))

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I hope my answer helped you.</span>
3 0
3 years ago
Given that the images represent 4 steps in the construction of a line segment congruent to a given line segment, which is step 3
Evgen [1.6K]

Answer:

Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.

Step-by-step explanation:

Start with a line segment PQ that we will copy. Mark a point R that will be one endpoint of the new line segment. Set the compasses' point on the point P of the line segment to be copied. Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.


8 0
3 years ago
HELP. How long is the minor axis for the ellipse shown below?
kifflom [539]

Given:

The equation of ellipse is

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1

To find:

The length of the minor axis.

Solution:

The standard form of an ellipse is

\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1      ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1      ...(ii)

On comparing (i) and (ii), we get

b^2=16

Taking square root on both sides.

b=\pm 4

Consider only positive value of b because length cannot be negative.

b=4

Now,

Length of minor axis = 2b

                                  = 2(4)

                                  = 8

So, the length of minor axis is 8 units.

Therefore, the correct option is B.

8 0
3 years ago
Sum answers are in different order so witch one
Ray Of Light [21]

Answer:

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Step-by-step explanation:

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3 years ago
Suppose you loan $320 to a friend and charge them 11% annual interest. If they don't pay you back, how much will they owe you af
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Answer:

Step-by-step explanation:

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The formula we'll use for this is the simple interest formula, or:

Where:

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   r is the interest rate, 11% per year, or in decimal form, 11/100=0.11.

   t is the time involved, 5....year(s) time periods.

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To find the simple interest, we multiply 320 × 0.11 × 5 to get that:

The interest is: $176.00

Usually now, the interest is added onto the principal to figure some new amount after 5 year(s),

or 320.00 + 176.00 = 496.00. For example:

   If you borrowed the $320.00, you would now owe $496.00

   If you loaned someone $320.00, you would now be due $496.00

8 0
3 years ago
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