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1 year ago

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

Mathematics

2 answers:

kiruha [24]1 year ago

4 0

The equation of line CD in standard form is: B. 5x - 3y = 30

<h3>How to determine the equation of line CD in standard form?</h3>

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression (linear function);

y = mx + c

Where:

x and y are the points.
m represents the slope, gradient, or rate of change.
c represents the intercept.

Next, we would determine the slope of this line by using this formula:

Slope, m = Δy/Δx

Slope, m = Change in y-axis/Change in x-axis

Slope, m = (0 + 5)/(6 - 3)

Slope, m = 5/3

At point (6, 0), the point-slope equation of the line is given by:

y - y₁ = m(x - x₁)

y - 0 = 5/3(x - 6)

y = 5x/3 - 30/3

y = 5x/3 - 10

Multiplying all through by 3, we have:

3y = 5x - 30

Rearranging the equation, we have:

5x - 3y = 30

Read more on slope here: brainly.com/question/7748981

#SPJ1

Reika [66]1 year ago

4 0

Answer:

I believe its B. 5x – 3y = 30

Step-by-step explanation:

Edge 2022

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Yuri thinks that 3/4 is a root of the following function. q(x) = 6x3 + 19x2 – 15x – 28 Explain to Yuri why 3/4 cannot be a root.

k0ka [10]

Answer:

Yuri is not correct.

Step-by-step explanation:

Given expression is q(x) = 6x³ + 19x² - 15x - 28

If 'a' is a root of the given function, then by substituting x = a in the expression, q(a) = 0

Similarly, for x = $\frac{3}{4}$ ,

$q(\frac{3}{4})=6(\frac{3}{4})^3+19(\frac{3}{4})^2-15(\frac{3}{4})-28$

= $6(\frac{27}{64})+19(\frac{9}{16})-15(\frac{3}{4})-28$

= $(\frac{162}{64})+(\frac{171}{16})-(\frac{45}{4})-28$

= $(\frac{162}{64})+(\frac{684}{64})-(\frac{720}{64})-\frac{1792}{64}$

= $-\frac{1666}{64}$

= $-\frac{833}{32}$ ≠ 0

Therefore, Yuri is not correct. x = $\frac{3}{4}$ can not be a root of the given expression.

6 0

3 years ago

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At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric

Zanzabum

Answer:

a) (1215, 1297)

b) (1174, 1338)

c) (1133, 1379)

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1256

Standard Deviation, σ = 41

Empirical Rule:

Also known as 68-95-99.7 rule.
It states that almost all the data lies within three standard deviation for a normal data.
About 68% of data lies within 1 standard deviation of mean.
About 95% of data lies within two standard deviation of mean.
About 99.7% of data lies within 3 standard deviation of mean.

a) range of years centered about the mean in which about 68% of the data lies

$\mu \pm 1(\sigma)\\=1256 \pm 41\\=(1215, 1297)$

68% of data will be found between 1215 years and 1297 years.

b) range of years centered about the mean in which about 95% of the data lies

$\mu \pm 2(\sigma)\\=1256 \pm 2(41)\\=1256 \pm 82\\=(1174, 1338)$

95% of data will be found between 1174 years and 1338 years.

c) range of years centered about the mean in which about all of the data lies

$\mu \pm 3(\sigma)\\=1256 \pm 3(41)\\=1256 \pm 123\\=(1133, 1379)$

All of data will be found between 1133 years and 1379 years.

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4 years ago

Eight more than three times the difference of four and a number” when n = 3?

Snezhnost [94]

8 + 3 (4 - n )
n= 3
8 + 3( 4-3)
8 + 3 * 1
8 + 3 = 11

8 0

3 years ago

Samuel filled the glasses shown below completely with water. The total amount of water that Samuel poured into the glasses is 60

Rama09 [41]

The height of the cylinder (glass 1) we call h so the volume is 4πh cc.
The volume of the cone is ⅓×2.5²×6π=12.5π cc.
If we divide 60 by π we get 19.11 cc approx.
So 4h+12.5=19.11, 4h=6.61 cc and h=1.7 cm approx, answer 2.

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3 years ago

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Answer now please 10 points come earn them

MAVERICK [17]

Answer:

Step-by-step explanation:

<h3>Arkadaşım cevap istiyorsan benim soruma cvp ver</h3>

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3 years ago

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