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sveta [45]
3 years ago
5

Lines a and b are parallel. Line a is described by the equation 3x - 7y = 21. Line b passes

Mathematics
1 answer:
ELEN [110]3 years ago
8 0

Answer:  The equation   3x - 7y = -27    or 7y = 3x +27  represents line b

y = ³/₇x +  ²⁷/₇  also represents line b using originally calculated fractions.

The attachment shows the graphs of the lines.

Step-by-step explanation:

I find it easier to work with equations in slope-intercept form, y = mx + b, so the equation 3x -7y = 21 becomes -7y = -3x + 21  then y = 3/7 x - 3

Substitute the values of the coordinate given (-2,3) for y and x in the equation and solve for b.

3 = 3/7(-2) + b

3 = -6/7 + b  Add  6/7 to both sides

3 + 6/7 = b   You can leave 3⁶/₇ as the slope or chamge toan improper fraction

²⁷/₇ = b

Rewrite the equation with the original slope and the calculated value of b

y = ³/₇x -  ²⁷/₇

as both denominators are 7, the equation can be simplified to

7y = 3x +27 or to standard form

3x - 7y = -27

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3 years ago
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I need help with this question.
Tems11 [23]

Answer:

cos^{-1} (\frac{8}{[tex]\sqrt{113}} )[/tex]

Step-by-step explanation:

Given two vectors a and b,we are rquired to find the angle between them.

a=(8,7);b=(7,0).

Angle between two vectors can be found by dot product of them.

If a and b are two vectors then the dot product of them is given by|a||b|cos(α).

Where α is the angle between the vectors a and b.

Now |a|=\sqrt{113}\text{ } and\text{ } |b|=\sqrt{49}. and a.b=8\ times 7+7\times 0 =56.

Now cosα=\frac{8}{\sqrt{113} } so α= cosine inverse of that.

∴α=

cos^{-1} (\frac{8}{[tex]\sqrt{113}} )[/tex]

6 0
4 years ago
Quick anyone know the answer to this problem?
sweet-ann [11.9K]

Answer:

D

Step-by-step explanation:

Factor the numerators/ denominators

10 - 5 = 5(2a - 1) ← common factor of 5

4a² - 1 = (2a - 1)(2a + 1) ← difference of squares

[ Change ÷ to × and turn second fraction upside down ]

= \frac{2a+1}{5(2a-1)} × \frac{(2a-1)(2a+1)}{10a}

[ cancel the factor (2a - 1) on the numerator/denominator ] leaving

= \frac{(2a+1)^2}{5(10a)} = \frac{(2a+1)^2}{50a}

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4 years ago
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Hiro painted his room at a rate of 8 square meters per hour. After 3 hours of painting, he had 28 square meters left to paint. L
lesya692 [45]

Answer: A(t)=-8t+52

Step-by-step explanation:

<h3> The missing question is: "What is the Functions formula A(t)=?"</h3><h2 />

The  equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

According to the data given in the exercise, you know that:

- A(t) represents the area to paint the Hiros' romm as a function of time.

- The rate he painted the room was 8 square meters per hour.

- The area left to paint after 3 hours was 28 m².

Therefore, based on this, you can idenfity that:

1. The slope of the line is:

m=-8

2. One of the point on the line is:

(3,28)

So you must substitute the slope and the coordinates of that point into y=mx+b and then solve for "b" in order to find its value:

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4 0
3 years ago
Do nematodes have a fixed cell number?
Aleksandr [31]

In nematodes cell divisions case near the end of embryonic development so that the number of the cells of the adult is constant.

What to you mean by eutely?

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Eutely occurs when the initial embryonic cells each come with a limit for total divisions. After this limit is reached, the organism can only become larger due to cell enlargement rather than cell division. Eutelic organisms have a fixed number of somatic cells when they reach maturity, the exact number being constant for any one species. Development proceeds by cell division until maturity; further growth occurs via cell enlargement only. In nematodes, the number of nuclei is also constant; there is growth in size of the body but this is due to the growth in the size of the cells (hypertrophy). Most eutelic organisms are microscopic. Examples include the rotifers, many species of nematodes, tardigrades, larvacea and dicyemida.

Learn more about eutely link below

brainly.com/question/25939248

#SPJ1

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