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Crank
3 years ago
8

The sum of two numers is 52 . The difference of the two numbers is 38 . What are the two numbers? Write the two numbers separate

d by a comma.
Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0
Let the first number be 'x' and the second number is 'y'

Equation 1: x + y = 52
Equation 2: x - y = 38

Rearranging equation 2 to make either x or y the subject
x = 38 + y

Substituting x = 38 + y into equation 1

x + y = 52
(38+y) + y = 52
38 + 2y = 52
2y = 52 - 38
2y = 14
y = 7

Substitute y = 7 into either equation 1 or equation 2 to find x

x + y = 52
x + 7 = 52
x = 52 - 7
x = 45

x = 45
y = 7
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A recreation center ordered a total of 15 try schools and bicycles from a sporting good store. The number of wheels for all tric
Juli2301 [7.4K]

Answer: The linear system of equations that models this scenario are

T + B = 15

3T + 2B = 38

Step-by-step explanation:

Let T represent the number of tricycles.

Let B represents the number of bicycles ordered.

The recreation center ordered a total of 15 tricycles and bicycles from a sporting good store. It is expressed as

T + B = 15

A tricycle has three wheels. A bicycle has 2 wheels. The number of wheels for all tricycles and bicycles total 38. The expression would be

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6 0
3 years ago
write an equation of the line containing the specified point and perpendicular to indicated line. (-5,6) 4x-y=3
Radda [10]
<h2>Greetings!</h2>

Answer:

y = \frac{1}{2}x + \frac{29}{4}

Step-by-step explanation:

First, we need to rearrange the equation to make it y = mx + c

4x - y = 3

y + 3 = 4x

y = 4x -3

So the slope of the line is 4.

The slope of a line perpendicular to an equation is:

\frac{-1}{gradient}

So the slope of the perpendicular line is:

\frac{-1}{4} = -0.25

Now to find the equation of a line you can use the following equation:

y - y₁ = m(x - x₁)

Where y₁ is the y-coordinate, x₁ is the x-coordinate and m is the gradient. Plug the values in:

y₁ = 6

x₁ = -5

m = \frac{-1}{4}

y - 6 = \frac{-1}{4}(x - - 5)

To get rid of the fraction we need to multiply the whole equation by 4:

4y - 24 = -1(x - - 5)

The two negatives cancel out:

4y - 24 = -1(x + 5)

Multiply the brackets out:

4y - 24 = -x + 5

Now, to rearrange the formula back into y = mx + c

Move the -24 over to the other side making it a +24:

4y = 2x + 5 + 24

4y = 2x + 29

Divide everything by 4:

y = \frac{2}{4}x + \frac{29}{4}

y = \frac{1}{2}x + \frac{29}{4}


<h2>Hope this helps!</h2>
8 0
3 years ago
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