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3 years ago

Will give brainliest

1 answer:

3 0

Answer: The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

Step-by-step explanation: The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The slope of the line 2x + 5y = 10 is:

2x + 5y = 10

5y = -2x + 10

y = -2/5x + 10

Hence the slope of the line 2x + 5y = 10 is -2/5

Since both lines are parallel, hence the slope of the other line is the same (-2/5). Hence the equation of the line is:

The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

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Name:<br>Solve each abso<br>1)<br>-13 + 1 - 2 + 51 – 6

slavikrds [6]

I believe that answer is 31

7 0

3 years ago

The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, bu

Mariulka [41]

Answer:

Probability that detector B goes off is '0.615'

Step-by-step explanation:

Given that:

1) Probability that detector A goes off and detector B does not go off is 0.25.

2)Probability that detector A does not go off is 0.35.

3)Probability that detector A goes off is (1-0.35)=0.65

Assuming that

Probability that detector B goes off is 'p' Hence the probability that detector B does not goes off is (1-p)

Thus the probability that detector A goes off and detector B does not go off is product of the individual probabilities

$P(E)=0.65\times (1-p)\\\\0.65\times (1-p)=0.25\\\\0.65-0.65p=0.25\\\\0.65-0.25=0.65p\\\\\therefore p=\frac{0.40}{0.65}=0.615$

Probability that detector B goes off is '0.615'

5 0

3 years ago

Answer needed ASAP !!!!

kumpel [21]

Answer:

The answer is C)

Step-by-step explanation:

if you graph it on desmos they are the same line.

6 0

3 years ago

Read 2 more answers

5.8 times 10 and show work (optional)

Step2247 [10]

Answer:

Step-by-step explanation:

A easy way to get this is to remove the decimal in 5.8 which gives you ----> 58

NOTE: This works for any problem multiplying 10 x a decimal.

7 0

3 years ago

Write the equation in exponential form. Assume that all constants are positive and not equal to 1.

algol13

Answer:

1. $16 = 4^2$

2. $2 = {16}^{\frac{1}{4}}$

3. $log_2 y=z$

Step-by-step explanation:

$1.\ log_2 16=4$

Write in exponential form

Using the law of logarithm which says if

$log_b A=x$

then

$A = b^x$

By comparison;

A = 16; b = 2 and x = 4

The expression $log_2 16=4$ becomes

$16 = 4^2$

$2.\ log_{16} 2=\frac{1}{4}$

Write in exponential form

Applying the same law as used in (1) above;

A = 2; b = 16 and $x = \frac{1}{4}$

The expression $log_{16} 2=\frac{1}{4}$ becomes

$2 = {16}^{\frac{1}{4}}$

$3.\ 2^z=y$

Write in logarithm form

Using the law of logarithm which says if

$b^x =A$

then

$log_b A=x$

By comparison;

b = 2; x = z and A = y

The expression $2^z=y$ becomes

$log_2 y=z$

3 0

3 years ago