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dusya [7]
2 years ago
10

Given lines a, b, and c, if a⊥b and c⊥b then a⊥c. True or false

Mathematics
1 answer:
aliina [53]2 years ago
8 0

Answer:

false, because they a and c would be parallel

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The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and
dimulka [17.4K]

Answer:

y =  -  \frac{3}{2} x + 1

Step-by-step explanation:

Slope -intercept form: y= mx +c, where m is the slope and c is the y-intercept.

Parallel lines have the same slope. Let's find the slope of the given line.

Given points: (-2, 0) and (0, -3)

\boxed{slope =  \frac{y1 - y2}{x1 - x2} }

slope of given line

=  \frac{0 - ( - 3)}{ - 2 - 0}

=  \frac{0 + 3}{ - 2}

=   - \frac{3}{2}

y =  -  \frac{3}{2} x + c

Given that the y- intercept is 1, c= 1.

y =  -  \frac{3}{2} x + 1

6 0
3 years ago
You deposit $25,000 into a bank that pays % 4 annual interest compounded monthly.
natima [27]

Answer

A: $28,000

B: 15 years

Step-by-step explanation:

A: Since $25,000 is deposited in the bank and you earn 4% interest annually over 3 years you would earn 12% interest. 12% of 25,000 is 3,000. The sum of 25,000 and 3,000 is 28,000 having you earn $28,000 over 3 years.

B: Since every year you earn 4% annual interest and you have $25,000 deposited in the bank you have to find what percentage of 25,000 equals 15,000. Since 25,000 isn't exactly easy to find multiply it by 4. That leaves you with 100,000 which we know you don't have in the bank but it will make it easier to find the percentage. You will also have to multiply 15,000 by 4 giving you 60,000. Now divide the 60,000 by 1,000 which equals 60. What's the point of the number 60? Well, that's the percentage it takes. Now divide 60 by the annual interest which is 4 and that gives you 15. 15 is the number of years it will take for the balance to reach $40,000.

Hope this helps!

7 0
2 years ago
Identify the slope and the y-intercept of the following equation: y = 5x + 1.
nlexa [21]

Answer:

Step-by-step explanation:

The slope is going to be the one that has the X by it so your slope is going to be 5x. Then your y intercept is going to be the number behind the slope so the y intercept is positive 1.

5 0
3 years ago
Read 2 more answers
PLS ANSWER QUICK THANK YOU
Serjik [45]

Answer:

0.001

Step-by-step explanation:

i hope this helps :)

5 0
3 years ago
Read 2 more answers
Which of the following are geometric series?
Temka [501]

Answer:

-256 +64 - 16 + 4 - 1

Step-by-step explanation:

A series is the summation of all the terms in a sequence.

So it is only the last three options that qualify to be a series.

The series 2 +5 + 8 + 11 + 14 + 17 has no common ratio. It is not geometric.

The series 1+1+2+3+5+ 8 +13 +21 also has no common ratio. It is not geometric.

The series -256 +64 - 16 + 4 - 1 has a common ratio of

r=\frac{64}{-256}=-\frac{1}{4}

There the only series that is geometric is.

-256 +64 - 16 + 4 - 1

6 0
3 years ago
Read 2 more answers
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