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mart [117]
3 years ago
8

What is the slope of the line passing through (6, -3) and (8, 0)?

Mathematics
1 answer:
UNO [17]3 years ago
8 0
To find the slope that passes through your two given points, (6,-3) and (8,0), you must use your slope formula which is (y2-y1)/(x2-x1). To use the slope formula, plug your points into the formula:
(0-(-3))/(8-6)

When you simplify, you should get that your slope is 3/2, which would be your answer.
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Evaluate the expression for p = -1<br> -38p2 - 78p
eduard

Answer:

- 38 {p}^{2}  - 78p \\ p =  - 1 \\  - 38 \times  { (- 1)}^{2}  - 78 \times  - 1 \\  - 38 + 78 \\  = 40 \\ thank \: you

7 0
3 years ago
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A prism is completely filled with 1120 cubes that have edge lengths of 1/2 in. What is the volume of the prism?
DedPeter [7]

Answer:

Volume of the prism = 140 cubic inches.

Step-by-step explanation:

The edge length of the cube is 1/2 inches.

The volume of the cube is given by

\text{Volume}=(\text{edge})^3\\\\V=(1/2)^3\\\\V=0.125

Now, it has been given that there are 1120 cube is completely filled in the prism. Hence, we have to the multiply the volume by 1120.

Volume of the prism = 1120 × 0.125

Volume of the prism = 140 cubic inches.

6 0
3 years ago
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Explain the
Ivenika [448]

Answer:

a2=12 (the second term of the sequence is 12)

Step-by-step explanation:

a5=324

If the term to term rule is multiply by any number, we deal with geometrical sequence

The formula you should use is an= a1*r^(n-1)  where n is the number of the term which we know. In our case we know

a5, so use 5 instead of n

Then you have a5=a1*r^4 where r is the number 3 (because each next term is greater than previous in 3 times)

a5=324

324= a1*3^4

324=a1*81

a1=4 (We find the first term of sequence, because having it you can easily search for every term )

Return to the formula an= a1*r^n-1

Now search for the second term using 2 instead of n in the formula

a2= a1*r^1

a2=a1*r, a1=4, r=3

a2=4*3=12

7 0
3 years ago
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
NeTakaya

Answer:

y = -x - 4

Step-by-step explanation:

First find the slope

y - 4 = (x - 6)

y - 4 = x - 6

y = x - 6 + 4

y = x - 2 (y = mx + C)

Slope m = 1

It is said that the line is perpendicular to a point ( -2, -2)

If two lines are perpendicular, their slope will be negative reciprocal

The negative reciprocal of slope = 1 is -1

Using a slope intercept form as requested by the question

y = mx + C

Inserting the values given

(-2, -2)

We are using point slope form

y - y_1 = m ( x - x_1)

x_1 = -2

y_1 = -2

m = -1

Insert the values

y - ( -2)) = -1( x - (-2))

y + 2 = -1 ( x + 2)---- point slope form

But we are requested to give the answer in slope intercept form

y = mx + C

We have to open the bracket

y + 2 = -1(x + 2)

y + 2 = -x - 2

y = -x - 2 - 2

y = -x - 4 ( slope - intercept form)

4 0
4 years ago
A castle has 34 small rooms and 47 large rooms. Each room has 32 candles in it. Which is the best estimate for the number of can
patriot [66]

Answer:

2600

Step-by-step explanation:

4 0
3 years ago
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