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Sati [7]
3 years ago
9

Find the two numbers that have a difference of 3 and a sum of 27.

Mathematics
2 answers:
Oksanka [162]3 years ago
6 0
The larger one is (27+3)/2 = 15.
The smaller one is 3 less, 12.

The two numbers are 12 and 15.

_____
This is what I call a "sum and difference" problem. You are given the sum of two numbers and the difference between them. Since you see this kind of problem many times and many ways in Algebra courses, it can be worthwhile to remember the solution--or at least, the derivation of the solution.

Let "a" and "b" represent the numbers. Let "s" and "d" represent their sum and difference, respectively. You are given
.. a +b = s
.. a -b = d
Add these two equations.
.. 2a = (s +d)
Divide by 2.
.. a = (s +d)/2 . . . . . . . . . one of the numbers, as computed above

If you subtract the second equation from the first, you get
.. 2b = s -d
.. b = (s -d)/2 . . . . . . . . . the other number

Of course, you also know
.. b = s -a
.. b = a -d
.. a = s -b
.. a = b +d
so that once you have found either of the numbers, you have several ways to find the other one.
polet [3.4K]3 years ago
5 0
12 and 15 

15-12=3
15+12=27
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Serhud [2]
<span>You paint 1313 of a wall in 1414 hour.
Now we need to find the rate in order you to paint one wall.

1313 : 1414 = 1 : X
1414 = 1313 X
X = 1.08

So the rate per one wall is 1.08 hours.</span>
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csf%2023%289x%2B6%29%3D6x%2B4" id="TexFormula1" title="\sf 23(9x+6)=6x+4" alt="\sf 23(9x+6)=
ozzi

The value of x from the given expression is; x= -2/3

<h3>Solving one-variable equations</h3>

The given expression is;

  • 23(9x+6) = 6x + 4.

Hence, when we expand the equation; we have;

  • 207x + 138 = 6x +4

  • 207x - 6x = 4 - 138

  • 201x = -134

  • x = -134/201

  • x = -2/3

Read more on one-variable equations;

brainly.com/question/21528555

4 0
2 years ago
Read 2 more answers
The graph shows a line and two similar triangles
ss7ja [257]
Your rise is 5 and your run is 3, your y-intercept is 0, therefore y=(5/3)x
6 0
4 years ago
Find the distance from point A(−9,−3) to the line y = x−6. Round your answer to the nearest tenth.
Vladimir79 [104]

The distance from point A(−9,−3) to the line y = x−6 is 8.5 units

<u>What is slope ?</u>

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

step 1

Find the slope of the perpendicular line to the given line

y=x-6 ---> given line

The slope is m=1

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m1*m2 = -1

we have

m1=1

substitute

(1)*m2 = -1

so

m2 = -1

step 2

Find the equation of the perpendicular line to the given line

The equation in point slope form is

y-y1=m(x-x1)

we have

m=-1

(x1,y1)=(−9,−3)

substitute

y+3=-1(x+9)--> equation in point slope form

y+3= -x-9

y= -x-12---> equation in slope intercept form

step 3

Find the intersection point between the given line and the perpendicular line to the given line

we have the system of equations

y = x−6.

y= -x-12

Solve the system by graphing

The intersection point is (-3,-9)

see the attached figure

step 4

we know that

The distance between the point A and the point (-3,-9) is the same that the distance between point A and the line y=x-6

the formula to calculate the distance between two points is equal to

d=√[(y2-y1)² + (x2-x1)²]

substitute the values

d=√[(-9+3)² + (-3+9)²]

d= √72 units

simplify

d= 6√2 = 8.5 units

To learn more about the slope from the given link

brainly.com/question/16949303

#SPJ1

8 0
1 year ago
PLEASE HELP 20 POINTS PLEASE HELP BROOO
Ulleksa [173]

Answer: 31700 sq mi

Step-by-step explanation: Well in order to find out the sq mi for Lake Superior you will add 7340 and 24360 which equals 31700 sq mi.

7 0
3 years ago
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