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Vinil7 [7]
1 year ago
10

Which equation represents a line which is parallel to the line 2x+y=-8?A. y=− 1/2 x−4B. y=−2x+5C. y=2x+3D. y= 1/2x+2

Mathematics
1 answer:
katrin2010 [14]1 year ago
4 0

Two lines that are parallel have the same slope. In its slope-intersect form, we can write the equation of a line with slope m and y-intercept b as:

y=mx+b

Step 1

Write the given equation in slope-intercept form and identify its slope m.

\begin{gathered} 2x+y=-8 \\  \\ 2x+y-2x=-2x-8 \\  \\ y=-2x-8 \end{gathered}

Thus:

m=-2

Step 2

Find the equation with the same slope m = -2. We need to identify which of them has -2 multiplying the variable x.

Answer

From the given options, the only one with the same slope m = -2, therefore parallel to the given line, is:

y=-2x+5\text{      (option B)}

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To get the value of DK we use proportionality:
AK/EK=BK/KD
thus plugging the values we get:
14/17=7/KD
getting the reciprocal of getting both sides we have:

17/14=KD/7
thus
KD=17/14×7
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thus 
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3 years ago
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he nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the
MrRissso [65]

Answer:

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7079

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The lower end of the interval is the sample mean subtracted by M. So it is 1088.64 - 633.97 = 454.67 milligrams

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8 0
3 years ago
What is the least common denominator of 7/10 and 4/9
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Answer:

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Step-by-step explanation:

Rewriting input as fractions if necessary:

7/10, 4/9

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LCM(10, 9)

Therefore, the least common denominator (LCD) is 90.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

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Please help, will mean a lot:)
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OXY=90degree...and OYZ=90degree because the tangents supported in the circle are always 90
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