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Kitty [74]
3 years ago
6

Determine the triangle congruence property that could be used to prove that A ABX ~= DEX

Mathematics
1 answer:
bearhunter [10]3 years ago
8 0
Is SAS Hhhhhhhhhhhhhhhhhhhh
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What is the equation of a line that passes through the point (9, −3) and is parallel to the line whose equation is 2x−3y=6 ?
vlabodo [156]
2x - 3y = 6
-3y = -2x + 6
y = 2/3x - 2....the slope here is 2/3. A parallel line will have the same slope

y = mx + b
slope(m) = 2/3
(9,-3)...x = 9 and y = -3
now we sub and find b, the y int
-3 = 2/3(9) + b
-3 = 6 + b
-3 - 6 = b
-9 = b

so ur parallel equation is : y = 2/3x - 9 <== or 2x -3y = 27
6 0
3 years ago
Read 2 more answers
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
The value of a car is $ 16,000 and depreciating at a rate of 11% per year. Write an
Mandarinka [93]
Answer- 16,000(0.88)t.
6 0
3 years ago
What is the absolute value of -3?<br><br><br> 3<br> - 1/3 <br> -3<br> 1/3
Nezavi [6.7K]
The absolute value of -3 is 3 and -3 so both would be right
5 0
3 years ago
Please help asap!<br><br> Use the difference quotient to find the derivative of f(x)= 4/x at x=3.
saveliy_v [14]
F (x)= 4/x

F(3)= 4/3

4/3 I think
4 0
3 years ago
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