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Lapatulllka [165]
4 years ago
7

What is the constant of variation?

Mathematics
1 answer:
Nikitich [7]4 years ago
4 0
4 is the constant varriation

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3. Given 4x – 8y = 8:
Mazyrski [523]
Slope-intercept form is y = mx + b, so to turn that equation into slope-intercept you'll need to get y alone

4x - 8y = 8 --- subtract 4x
-8y = 8 - 4x --- divide by -8
y = -1 + (1/2)x --- reorder to match "mx + b"
y = (1/2)x - 1

in y = mx + b, "m" is the slope and "b" is the y-intercept. so for part B, your slope is (1/2) and your y-intercept is (-1). take the sign with you.

for part C, you'll need to know point-slope form: (y - y1) = m(x - x1)
you'll also need to be aware that "perpendicular" lines have a slope that is the opposite reciprocal of the original line.

the original slope is (1/2). change the sign to negative and form a reciprocal: your new slope is -2. plug that into your point-slope form

(y - y1) = m(x - x1)
(y - y1) = (-2)(x - x1)

and lastly, plug in your given point: (1, 2)

y - 2 = (-2)(x - 1)

so, just to look a little neater without all of the work:
A) y = (1/2)x - 1
B) m = (1/2), b = -1
C) y - 2 = (-2)(x - 1)
5 0
3 years ago
Using suitable identity evaluate the following : 98^3
stiv31 [10]

941,192

Steps:

(a-b)^3=a^3-b^3-3a^2b+3ab

\begin{gathered} (98)^3=(100-2)^3 \\ (100-2)^{3\text{ }}=(100)^3-(2)^3-3\cdot(100)^2\cdot2+3\cdot100\cdot2^2\text{ } \\ (100)^3-(2)^3-3\cdot(100)^2\cdot2+3\cdot100\cdot2^2\text{ = 1,0}00,000\text{ - 3 - 60,000 +1,200} \\ \text{ 1,0}00,000\text{ - 3 - 60,000 +1,200 = 941,192} \end{gathered}

6 0
1 year ago
A quality control inspector has drawn a sample of 10 light bulbs from a recent production lot. Suppose 20% of the bulbs in the l
Neko [114]

Answer:

The probability is 0.0008.

Step-by-step explanation:

Let X represents the event of defective bulb,

Given, the probability of defective bulb, p = 20 % = 0.2,

So, the probability that bulb is not defective, q = 1 - p = 0.8,

The number of bulbs drawn, n = 10,

Since, binomial distribution formula,

P(x=r) = ^nC_r p^r q^{n-r}

Where, ^nC_r = \frac{n!}{r!(n-r)!}

Hence, the probability that exactly 7 bulbs from the sample are defective is,

P(X=7)=^{10}C_7 (0.2)^7 (0.8)^{10-7}

=120 (0.2)^7 (0.8)^3

=0.000786432

\approx 0.0008

6 0
3 years ago
Which term best describes the point where the three altitudes of a triangle intersect
kolezko [41]
Hi!

The point where the three altitudes of a triangle intersect is called the orthocenter.

Altitudes are lines which pass through the the vertex of a triangle, and bisect the other side.

There are three other points like an orthocenter; an incenter, a circumcenter, and a centroid. They're where the angle bisectors, the perpendicular bisectors, and the medians of a circle intersect, respectively.

Hope this helped!
7 0
4 years ago
Read 2 more answers
What is each product? For 5/10•10/3
Naily [24]
10 cancels out so its 5/3 :) Rate Me plz <span />
7 0
3 years ago
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