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vovikov84 [41]
4 years ago
6

Which equation can compare with 3X plus 4Y equals eight to create a consistent and independent system

Mathematics
1 answer:
Scilla [17]4 years ago
3 0

Answer:

A consistent and independent system is any equation that only has one solution. So an another equation that can compare with this to create one solution is an equation that is perpendicular. The slope will be opposite and reciprocal.

This is the first equation in standard form: 3x + 4y = 8

Point-slope form is: y = -3/4x + 2

The second equation in standard form: y = 4/3x + 2

Point-slope form is: -4x + 3y = 6

As you can see, the slopes are opposite and reciprocal, which creates two perpendicular lines when graphed. You can graph these two lines, and see that they have one solution.

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The area of a square garden is 169 square feet. Find the length of one side of the garden, in feet.
nordsb [41]

If the garden is a true square, then all 4 sides are the same length.

The area of a square is equal to length^2

If we find the square root of 169, we can find the length.

√169 = 13

Each length of the square is 13 feet.

8 0
3 years ago
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What is the solution to the proportion? 8/x=5/10
docker41 [41]
5/10 is one half.
8 is one half of 16.
Or...
x=80/5=16
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3 0
3 years ago
Given that the measure of Angle DAC = 40 degrees and the measure of Angle ABC = 120 degrees, find the indicated measures for eac
eimsori [14]

Answer:

<u>x = 120°, y = 20°</u>

Step-by-step explanation:

Let's recall that the four interior angles in any rhombus must have a sum of 360 degrees.  In addition, the opposite interior angles must be equivalent, and the adjacent angles have a sum of 180 degrees.  

∠ ABC and ∠ ADC are opposite interior angles, so they must have equivalent measurements, therefore x = 120 degrees.

To find the value of y, we use this equation because the interior angles of the Δ ADC add up to 180:

y = 180 - 120 - 40

y = 180 - 160

y = 20 degrees ⇒ z = 40 degrees

3 0
4 years ago
Solve for x in the equation x^2+10+25=35
devlian [24]
X^2+10+25=35 if you put all numbers on one side it's:
x^2=35-10-25
x^2=0 square root
x=0
6 0
4 years ago
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