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3 years ago

PLEASE HELP! 20 PTS AND WILL GIVE BRAINLIEST!

Mathematics

2 answers:

Rama09 [41]3 years ago

6 0

The equation is :
y = 4/1x + 5

Alex Ar [27]3 years ago

6 0

Answer:

y= -4x+5

Step-by-step explanation:

First, look at the y-intercept. Since the line intersects the y-axis at (0,5), the y-intercept is 5.

Next, find the slope. The formula for slope is change in y divided by change in x, or rise over run. Selecting two points, (y1-y2)/(x1-x2)=(13-5)/(-2-0), or -4.

Using slope intercept form, y=mx+b, or y= -4x+5.

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What is the quotient of 4 2/3s÷4 1/5

SpyIntel [72]

Is the s suppose to be “s” there?

Use the inverse of the 2 number & multiply.

14 * 5

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3 21

70/63

Reduced to 10/9 or 1 1/9

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3 years ago

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Today everything at the store is on sale. The store is offering a 20% discount on all items.

katovenus [111]

Answer:

Number 1: $14.40

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Step-by-step explanation:

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2 years ago

One Sunday, 120 days before Christmas, Aldsworth store publishes an advertisement saying ‘120 shopping days until Christmas'. Al

Lena [83]

Answer:

(a)18

(b)1089

(c)Sunday

Step-by-step explanation:

The problem presented is an arithmetic sequence where:

First Sunday, a=1
Common Difference (Every subsequent Sunday), d=7

We want to determine the number of Sundays in the 120 days before Christmas.

(a)In an arithmetic sequence:

$\text{The nth term}, T_n=a+(n-1)d\\T_n \leq 120\\$Therefore:$\\1+7(n-1) \leq 120\\1+7n-7\leq 120\\7n-6\leq 120\\7n\leq 120+6\\7n\leq 126\\$Divide both sides by 7$\\n\leq 18$

Since the result is a whole number, there are 18 Sundays in which Aldsworth advertises.

Therefore, Aldsworth advertised 18 times.

(b)Next, we want to determine the sum of the first 18 terms of the sequence

1,8,15,...

$\text{Sum of a sequence}, S_n=\frac{n}{2}( 2a+(n-1)d)\\S_{18}=\frac{18}{2}( 2*1+(18-1)*7)\\=9(2+17*7)\\=9(2+119)\\=9*121\\S_{18}=1089$

The sum of the numbers of days published in all the advertisements is 1089.

(c)SInce the 120th day is the 18th Sunday, Christmas is on Sunday.

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2 years ago

The circumference of a circle is 12 what is the radius

allsm [11]

Answer:

Step-by-step explanation:

12/2=6

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2 years ago

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A hunter is at a point on a riverbank. He wants to get to his cabin located 2 Miles North and 8 Miles West. He can travel 5 Mph

miskamm [114]

Answer:

Option A

Step-by-step explanation:

A hunter travels to his cabinet located at 2 Miles North and 8 Miles West.

Let "d" be the distance traveled before reaching the rocky ground at point say "P". Let the cabin be at "C"

The distance between C and P is given by

$\sqrt{(2^2+(8-d)^2}\\$

Let "t" be the time taken to travel distance CP.

$T = \frac{d}{5} + \frac{\sqrt{2^2+(8-d)^2} }{3}$

Minimum time will be when "t" is equal to zero

Differentiating the above equation wrt "d", we get -

$= \frac{1}{5} + \frac{1}{3} (\frac{-2(8-d)}{2\sqrt{2^2+(8-d)^2} } )= 0\\\frac{1}{5} = \frac{1}{3} \frac{(8-d)}{\sqrt{4+(8-d)^2} } \\3\sqrt{4+64+d^2-16d} = 40-5d\\$

On squaring both the sides , we get -

$3\sqrt{4+64+d^2-16d} = 40-5d\\9(68+d^2-16d)= 1600+25d^2 -400d\\612+9d^2-144d=1600+25d^2 -400d\\16d^2-256d+988=0\\d_1 = 9.5\\d_2 = 6.5$

"d" cannot be greater than 8 miles.

Hence, the value of "d" is equal to $6.5$

Option A

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2 years ago