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4 years ago

The equation of the line is y= 17.63x + 27.52 what is the best interpretation of the y intercept of the line

Mathematics

1 answer:

KATRIN_1 [288]4 years ago

4 0

Answer:

The value of y when x = 0

Step-by-step explanation:

y= 17.63x + 27.52

The best interpretation of the y-intercept is that it represents <em>the value of y when x = 0</em>.

Notice how, in the graph below, y = 27.52 when x = 0.

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The point A(-8, 6) is translated using T: (x,y) → (x + 5. y - 4). What is the distance from A to A'?

Vsevolod [243]

Translated means the points are moving across the plane without rotating or changing shape. In this case, the x-coordinate would be moving up 5 (x + 5) and the y-coordinate would be moving to the left 4 (y - 4).

A is (-8, 6). A' is the result of the translation from this point. The results of the solution above in A is the point (-3, 2) = A'.

Now you must find the distance between these two coordinates. To find the distance you must use the distance formula: √<span>(x2 - x1)^2 + (y2 - y1)^2. Since you now have two points, A and A', plug these into the distance formula.

</span>√(-3 - (-8))^2 + (2 - 6)^2
√5^2 + (-4)^2
√25 + 16
√41

The distance from A to A' is √41.

8 0

3 years ago

Read 2 more answers

isabella is covering a square tabletop with square mossaic tiles.the tabletop is 2ft. long and 2ft.wide.each tile is 1/4 in.long

Hunter-Best [27]

Convert the feet to inches first. 2 ft = 24 inches. We must divide this total length by the length of each tile to determine how many tiles will fit across the tabletop:

24 ÷ (1/4) = (24/1) ÷ (1/4) = (24/1) × (4/1) = 96/1 = 96

96 tiles will fit across the tabletop.
Since the tabletop is as long as it is wide, that means we will have 96 rows of 96 tiles:
96(96) = 9,216 tiles to cover the tabletop.

5 0

4 years ago

If 2<=<14, which two lines are parallel ?

frutty [35]

Answer:

C and D

Step-by-step explanation:

Its that simple

6 0

4 years ago

Jaleel was leaving downtown Nashville to visit his cousinA taxi would cost $8.50 plus $2.50 per mile. A luxury car service would

Vladimir [108]

Answer:

Taxi equation 2.50(#of miles)+8.50=total cost

Luxury car service 1.00(#of miles)+20.50=total cost

Step-by-step explanation:

2.50(x)+8.50=1.00(x)+20.50

work it out from there

7 0

3 years ago

There are 15 technicians and 11 chemists working in a research lab. They need to form a 5 person safety committee. In how many w

Burka [1]

<h2>There are a total 65,780 ways in which the committee can be made of 5 members.</h2>

Step-by-step explanation:

Here, the total number of technicians in the lab = 15

The total number of chemists in the lab = 11

So, the total members in the lab = 15 + 11 = 26

So, there are total 26 eligible candidates in the lab from which committee of 5 people has to be made.

Now, since there is <u>no restrictions</u> on the choice, so the committee can be formed in nay way, such that:

It may or may not have any technician.

It may or may not have may chemists.

So, the number of ways 5 member can randomly be chosen from a committee of 26 people = $^{26} C_5$

$^{26} C_5$ = $^{26} C_5 = \frac{26!}{5! \times 21!} = 65,780$

Hence, there are a total 65,780 ways in which the committee can be made of 5 members.

5 0

3 years ago