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Murljashka [212]
3 years ago
7

Which of the following shows of the slope of the line and one point on the line?

Mathematics
1 answer:
uysha [10]3 years ago
3 0
Answer is choice D

This is the only answer choice with a negative slope, so we don't even need to look at the point really. Though if you wanted, you can confirm that the point (1,-3) is on the diagonal line. This point is shown in red in the attached image.

To find that the slope is -6/5, you pick two points on the diagonal line and use the slope formula. Two points you can use are (1,-3) and (-4,3).
The slope formula is m = (y2-y1)/(x2-x1)

Note: The negative slope is because we move downhill as we move from left to right along the diagonal line.

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Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le
Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes  =68

Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}

68= \frac{\text{Sum of all lengths}}{7}

68 \times 7 =\text{a+b+c+d+e+f+g}

476=\text{a+b+c+d+e+f+g} --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

476=x+x+x+84+84+84+4x+14

476=7x+266

\frac{476-266}{7}=x

30=x

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0
3 years ago
Evaluate 8 - 4.7y - x, when y = -1 and x = 2.<br> A. -10.7<br> B. -9.7<br> C. 9.7<br> D. 10.7
seraphim [82]
It’s D, 10.7

8 - (4.7 x (-1)) - 2 = 10.7
5 0
3 years ago
What is a coefficient? Give me an example.
aksik [14]

Answer:

A coefficient is the number next to a letter. It's used to multiply a variable. If there is just a variable then the coefficient is 1. For example 6x.

Step-by-step explanation:

7 0
3 years ago
Answer fast please. I'll mark brainliest.
Kryger [21]

Answer:

the answer is d; the slope is 4, and the y-intercept is 12

Step-by-step explanation:

the slope is actually 4/-1, but the y-intercept is still 12 thow.

5 0
3 years ago
Question 4......................
svp [43]
I would be the last answer because the h of hours would be multiply by 5.
8 0
4 years ago
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