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Rzqust [24]
3 years ago
6

Drag equations to each row to show why the equation of a straight line is y = 3x, where 3 is the slope.

Mathematics
2 answers:
Vinvika [58]3 years ago
6 0

Answer:

there's the picture for the answer and your welcome :)

Step-by-step explanation:

a_sh-v [17]3 years ago
4 0

y/x = 3/1   Triangle 1 is similar to triangle 3

y = 3 x     Multiply each side by x

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When an electric current passes through two resistors with resistance r1 and r2, connected in parallel, the combined resistance,
kondaur [170]

Answer:

a)

The combined resistance of a circuit consisting of two resistors in parallel is given by:

\frac{1}{R}=\frac{1}{r_1}+\frac{1}{r_2}

where

R is the combined resistance

r_1, r_2 are the two resistors

We can re-write the expression as follows:

\frac{1}{R}=\frac{r_1+r_2}{r_1r_2}

Or

R=\frac{r_1 r_2}{r_1+r_2}

In order to see if the function is increasing in r1, we calculate the derivative with respect to r1: if the derivative if > 0, then the function is increasing.

The derivative of R with respect to r1 is:

\frac{dR}{dr_1}=\frac{r_2(r_1+r_2)-1(r_1r_2)}{(r_1+r_2)^2}=\frac{r_2^2}{(r_1+r_2)^2}

We notice that the derivative is a fraction of two squared terms: therefore, both factors are positive, so the derivative is always positive, and this means that R is an increasing function of r1.

b)

To solve this part, we use again the expression for R written in part a:

R=\frac{r_1 r_2}{r_1+r_2}

We start by noticing that there is a limit on the allowed values for r1: in fact, r1 must be strictly positive,

r_1>0

So the interval of allowed values for r1 is

0

From part a), we also said that the function is increasing versus r1 over the whole domain. This means that if we consider a certain interval

a ≤ r1 ≤ b

The maximum of the function (R) will occur at the maximum value of r1 in this interval: so, at

r_1=b

6 0
3 years ago
1. A chord is 22 cm long. It is 60 cm from the center of the circle.
mezya [45]

Answer:

Radius, r = 61 cm

Step-by-step explanation:

According to the attached figure, we have,

Length of chord, AB = 22 cm

Such that, AP = PB = 11 cm

OP = 60 cm

It is required to find the radius of the circle. We know that radius of a circle is perpendicular to chord. So, APO forms a right angled triangle. Using Pythagoras theorem to find the radius of circle. Let it is r. So,

r^2=60^2+11^2\\\\r=61\ cm

So, the radius of the circle is 61 cm.

3 0
3 years ago
Perform the indicated operation. X^3+43-49x-7x^2 divides by x^2-49
BaLLatris [955]

Answer:

The quotient is: x-7

and remainder is : -300

Step-by-step explanation:

We need to divide X^3+43-49x-7x^2 by x^2-49

First arrange the term  X^3+43-49x-7x^2 in terms of ascending order of x.

Arranging we get:

x^3 - 7x^2 -49x + 43 \  x^2-49

The division steps are shown in figure attached.

The quotient is: x-7

and remainder is : -300

4 0
3 years ago
I need help on all the questions here
Slav-nsk [51]
They all are all math vocabulary
4 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!!!!
olga2289 [7]
Answer: A
Explanation: It’s A because 28,500 - 23,700 = 4,800. 4,800 / 3 = 1,600. 23,700 - 4,800 = 18,900 - 1,600 = $17,300. Hope this helps :)
4 0
2 years ago
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