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Artyom0805 [142]
1 year ago
6

Determine, without graphing​, whether the graphs of the given equations are​ parallel, perpendicular, or neither. Explain your r

easoning. y=x+10 y=-x+5
Mathematics
1 answer:
Inessa05 [86]1 year ago
8 0

The graphs of the given equations are parallel.

<h3>What is the slope-intercept form of a line?</h3>

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given equations are y = x +10 and y = x+5.

The equations are in the slope-intercept form of y = mx +b.

Therefore, the slopes of both lines are 1.

Two lines are parallel if they have the same slope.

Therefore, the graphs of the given equations are parallel.

To learn more about the slope-intercept form of a line, click here:

brainly.com/question/9682526

#SPJ1

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Method\ \#2\\\\p\%=\frac{p}{100}\to40\%=\frac{40}{100}=0.40=0.4\\\\x-the\ number\\\\40\%\ of\ the\ number\ is\ 31:\\\\0.4x=31\ \ \ \ |divide\ both\ sides\ by\ 0.4\\\boxed{x=77.5}
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there is 1 litre of tea in a teapot, alex pours 275ml of the tea into a cup what percentage of the tea has alex poured
Nuetrik [128]

Answer:

27.5%

Step-by-step explanation:

Given:

  • 1 Liter In Teapot
  • Alex poured 275 milliliters of the tea into a cup

Review:

  • 1,000 Milliliters = 1 Liter

Concepts:

  • A liter is a noun meaning a unit of capacity redefined in 1964 by a reduction of 28 parts in a million to be exactly equal to one <em>cubic </em>decimeter. It is equivalent to <em>1.0567</em>  U.S. liquid <u>quarts </u>and is equal to the volume of 1 kilogram of distilled <em>water</em> at 4°C.
  • A millimeter is a noun meaning a unit of capacity <em>equal</em> to one <u>thousandth </u>of a liter, and equivalent to <em>0.033815</em> fluid<u> </u><u>ounce</u>, or<em> 0.061025</em><em> </em>cubic<u> inch</u>.

Formula:

  • The <em>mℓ</em> to <em>ℓ</em> formula is<em> [L] = [mL] / 1000</em>.

Now we must convert <em>275</em> milliliters to liters.

1. Divide the volume by <em>1,000.</em>

275 ÷ 1000 = 0.275

2. Add the Unit Symbol for Liter.

0.275 ⇒ 0.275 L

Now we have to find how much of 1 liter- 0.275 liters as a percentage is.

To convert <em>0.275</em> to percent multiply <em>0.275</em> by <em>100</em>. The result is <em>27.5 </em>percent, or, using the percent sign, <em>27.5 %.</em>

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