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4 years ago

The graph of y – 3 = (x + 6)?

Mathematics

1 answer:

vekshin14 years ago

5 0

Arrange the formula again then you will obtain y=x+9.
Thus , the y-intercept is 9 by y=mx+c.
When y=0,x=-9 so the x-intercept is -9.

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Find the value of y if B is between A and C, AB is 2y, BC is 6y, and AC is 48.

Len [333]

Answer:

7. C. 6

8. H. √34

9. A. (1, 3.5)

10. J. 10

Step-by-step explanation:

7. AB = 2y, BC = 6y, AC = 48

AB + BC = AC (segment addition theorem)

Substitute the above values into the equation

2y + 6y = 48

Solve for y

8y = 48

Divide both sides by 8

8y/8 = 48/8

y = 6

8. Distance between P(2, 8) and Q(5, 3):

$PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$P(2, 8) = (x_1, y_1)$

$Q(5, 3) = (x_2, y_2)$

$PQ = \sqrt{(5 - 2)^2 + (3 - 8)^2}$

$PQ = \sqrt{(3)^2 + (-5)^2}$

$PQ = \sqrt{9 + 25}$

$PQ = \sqrt{34}$

9. Midpoint (M) of segment LB, for L(8, 5) and B(-6, 2) is given as:

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Let $L(8, 5) = (x_1, y_1)$

$B(-6, 2) = (x_2, y_2)$

Thus:

$M(\frac{8 + (-6)}{2}, \frac{5 + 2}{2})$

$M(\frac{2}{2}, \frac{7}{2})$

$M(1, 3.5)$

10. M = -10, N = -20

Distance between M and N, MN = |-20 - (-10)|

= |-20 + 10| = |-10|

MN = 10

5 0

3 years ago

If rahul rows 16 km upstream and 24 km down steam taking 4 hours each, then the speed of the stream.

gladu [14]

The upstream speed is 4 km/hour and the down stream speed is 6 km/hour

<h3>Calculating Speed </h3>

From the question, we are to calculate the speed of each stream

From the given information,

"<em>Rahul rows 16 km upstream and 24 km down stream taking 4 hours each</em>"

For the Upstream,

Distance = 16 km

Time = 4 hours

Using the formula,

Speed = Distance/ Time

Speed = 16 km / 4 hours

Speed = 4 km/hour

For the Down stream,

Distance = 24 km

Time = 4 hours

Thus,

Speed = 24 km / 4 hours

Speed = 6 km/hour

Hence, the upstream speed is 4 km/hour and the down stream speed is 6 km/hour

Learn more on Calculating Speed here: brainly.com/question/24571540

#SPJ1

6 0

2 years ago

A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 1

Nitella [24]

Answer:

Step-by-step explanation:

If there are 100 cards and you can only pick numbers less then 12, you then could only have a number between 1 and 11

4 0

3 years ago

Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end?

Lapatulllka [165]

A line because it continues on forever.

6 0

3 years ago

So I need 20 words but I don’t get why so here’s this useless sentence

jek_recluse [69]

14(10) + 2, 14x10 is 140 plus 2 = 142
2(7(10) + 1) 7x10 = 70 + 1 = 2(71) = 142

8 0

3 years ago