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Arturiano [62]
2 years ago
13

How to use substitution to solve system of equations

Mathematics
1 answer:
svlad2 [7]2 years ago
4 0

Answer: See explanation.

Step-by-step explanation:

Let's assume that you have a System of two equations. You can solve this System using the Substitution Method.

In order to use that method to solve the System of equations, you can follow the steps shown below:

Step 1: You must choose one of the equations of the system and solve for one of the variables. Let's call this new equation "Equation A"

Step 2: Then you must substitute"Equation A" into the other equation.

Step 3: Now you must solve for the other variable in order to find its value.

Step 4: Finally, you need to substitute the value of the variable obtained in the previous step, into the "Equation A" and then evaluate in order to find the value of the other varibale.

(Note: You can also substitute the value of the variable calculated in Step 3 into any original equation and solve for the other variable to find its value).

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I need help! ASAP!! please and thank you
Neko [114]

Answer: The walking path around it.

Step-by-step explanation:

Remember the Pythagorean's theorem, for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:

A^2 + B^2 = H^2

or

H = √(A^2 + B^2)

Here, A + B is the total distance for the path, while the hypotenuse is the distance for the bridge

Here we can see that:

A = 1170 ft

B = 520 ft

Then:

H = √( (520 ft)^2 + (1170 ft)^2) = 1280.4 ft

Now, let's compute the costs.

For the bridge, we know that each foot costs $11, then for 1280.4 ft the cost is:

Cost of the bridge = (1280.4)*$11 = $14,084.4

And for the walking path, the cost is $6 per foot, then the total cost of the path is:

Cost of the path = (520 ft + 1170 ft)*$6 = $10,140

We know that the bridge is preferred if it is within the range of $1500 for the path's cost.

This range is:

($10,140 - $1,500, $10,140 + $1,500) = ($8,640, $11,640)

Here we can see that the cost of the bridge does not belong to this range, (is higher) so the option we should recommend is the walking path around.

8 0
3 years ago
Factor the expression. d2 + 12d+ 36
Natali5045456 [20]

Answer:

the factored expression is

(d+6)(d+6) or (d+6)^2

Step-by-step explanation:

8 0
3 years ago
1 Subtracting Fractions
antoniya [11.8K]

Step-by-step explanation:

The question is not properly structured but we can as well find the sum of 5/7 and 10 as shown;

\frac{5}{7}+ \frac{10}{1} \\The \ LCM \ is \ 7\\\\= \frac{5(1)+10(7)}{7}\\\\=   \frac{5+70}{7}\\\\= \frac{75}{7}  \\\\= 10 \frac{5}{7}

Hence the expression written in equivalent form of common denominator is \frac{5 + 70}{7}

The sum is 10 \frac{5}{7}

8 0
2 years ago
Here is the original <br> 23/67
White raven [17]

Answer:

0.343283582

HOPE IT HELPS

7 0
2 years ago
What is the difference between the absolute value of -8 and the absolute value of 6?
lorasvet [3.4K]
The answer is A (2).
6 0
2 years ago
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