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ch4aika [34]
3 years ago
7

Write the slope intercept form of the equation of the line through the given points.

Mathematics
1 answer:
Zanzabum3 years ago
6 0

Answer:

You use the formula (y to the second power minus y to the first power minus the same formula with the two different points

Step-by-step explanation:

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A set of kitchen containers can be stacked to save space. The height of the stack is given by the expression LaTeX: 1.5c+7.61.5
Nuetrik [128]

Answer:

Part A

The height of the stack made of 8 containers is 19.6 cm

Part B

When the tower is 40.6 cm tall, the number of containers in the set are 22 containers

Part C

(Disagree) The height of a single container is 9.1

Step-by-step explanation:

The question relates to containers, stacked one inside the other such that the height increases by only the wider top edge of the containers

The given expression that gives the height of the stack is presented as follows;

1.5·c + 7.6

Where;

c = The number of containers in the stack

Part A

When there are 8 containers, we have;

h(8) = 1.5 × 8 + 7.6 = 19.6

The height of the stack made of 8 containers, h(8) = 19.6 cm

Part B

When the tower (height of the stack set) is 40.6 cm tall, we have;

h(c) = 1.5·c + 7.6 = 40.6

∴ The number of containers, c = (40.6 - 7.6)/1.5 = 22

When the tower is 40.6 cm tall, the number of containers in the set, c = 22 containers

Part C

Given that the height stack increases only by the thickness of the wider rim of each added container, we have;

The expression for the height of the stack , 1.5·c + 7.6, is the expression for a straight line equation, m·x + c

The thickness of each rim = The slope, of the line, m = The increase in height with number of containers = 1.5

The number of containers (The independent variable, x) = The number of stacked rims = c

The minimum height = The height of a single container = 1.5 × 1 + 7.6 = 9.1

Therefore, the height of a single container = 9.1 not 7.6

4 0
2 years ago
Which is a correct first step in solving 5 – 2x < 8x – 3?
bezimeni [28]

Answer:

  • \sf{5 < 10x - 3}

Step-by-step explanation:

Hope it helps

3 0
1 year ago
6 x - 2 [ x + 2 ] &gt; 2 - 3 [ x + 3]<br> could u show me step by step on how to do thiz
Dafna11 [192]

Answer:

x > - 3/7

Step-by-step explanation:

6x - 2x - 4 > 2 - 3 (x + 3)

6x - 2x - 4 > 2 - 3x - 9

4x - 4 > 2 - 3x - 9

4x - 4 > - 7 - 3x

4x - 4 + 3x > - 7

7x > - 7 + 4

7x > - 3

8 0
2 years ago
What is the equation of the line of the best fit for the following data?
aksik [14]
C The answer is y=1.560-22.105
3 0
2 years ago
Read 2 more answers
OA is congruent to ____.
viva [34]

Answer:

OF

Step-by-step explanation:

Since the arcs are congruent, the lines intercepting them are congruent, and you will get 2 congruent right triangles. So OA is congruent to OF by CPCTC.

7 0
3 years ago
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