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lisov135 [29]
3 years ago
7

What is an equation of a the line through (-1, -4) and parallel to the line 3x+y=5

Mathematics
1 answer:
Greeley [361]3 years ago
6 0

Answer: y + 4 = -3(x+1)

Step-by-step explanation:

We need to rewrite in form of y=mx+b.

3x+y=5

     y = -3x + 5  

The slope is -3.

In addition, the slope of two parallel line would be equal, the slope of the line would be -3.

y- y1 = m(x- x1)

y- (-4) = -3(x - -1)

y + 4 = -3(x+1)

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Fiona, Peter and Angad share some sweets in the ratio 4:5:1. Fiona gets 40 sweets. How many sweets are there altogether?
steposvetlana [31]

Answer:

100

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 + 1 = 10 parts

Fiona  gets 40 sweets which is 4 parts of the ratio

Divide Fiona's share by 4 to find the value of one part of the ratio

40 ÷ 4 = 10 ← 1 part of the ratio

The total number of sweets is 10 parts , thus

number of sweets in total = 10 × 10 = 100

8 0
3 years ago
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PLZ I NEED HELP NOW THANKS
xeze [42]

Answer:

1240.4 mm²

Step-by-step explanation:

SA of Pentagonal pyramid:

(as)(5/2) + (sl)(5/2)

↑ ↑

base area lateral area

_____________________

a: apothem (in-radius) length, s: side length.

l: slant height.

______________________

Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.

Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.

A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).

With this information the surface area is:

(16)(20)(5/2)mm + (440.4 mm²) →

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1240.4 mm²

7 0
3 years ago
Which statement about the data represented in the dot plot is true?
drek231 [11]
D) median > mode... There is no mode and the median is 6...
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3 years ago
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If gas costs $3.19 per gallon, how many whole
sergiy2304 [10]

Answer:

13 gallons

Step-by-step explanation:

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3 years ago
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Find the length of the missing side, x=
Paladinen [302]

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Answer: 9 or 8.6

  • I don't know, need I round to 8.6 or 9, so you can try both answers
8 0
3 years ago
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