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valentinak56 [21]
3 years ago
11

The coordinate grid below represents a town.Curtis house is at(-4,-6).And jeans house is at(-4,3).

Mathematics
2 answers:
Lelu [443]3 years ago
7 0

Answer: 45 Minutes

Step-by-step explanation:

Curtis's house: (-4,-6)

Jean's house: (-4,3)

Distance: -6 to 3 = 9 miles

Curtis travels = 12 miles per hour

speed = distance / time

12 miles/hr = 9 miles / time

12 miles/hr * time = 9 miles

time = 9 miles * 1hr/12 miles

time = 0.75 hour

1 hour = 60 minutes

60 minuts * 0.75 = 45 minutes

It would take 45 minutes for Curtis to ride from his house to Jean's house

sladkih [1.3K]3 years ago
5 0
Okay, first you need to know the distance...since the x coordinate does not change we can see that the distance between the two points is just y2-y1, in this case:

3--6=9 so the houses are 9 miles apart.

distance=velocity times time...

d=vt so we can say

t=d/v, we found d=9 and we are told that v=12mph so

t=9mi(h/12mi)

t=0.75 hr, but the question want the time in minutes so

0.75hr(60min/hr)=45 min

So it takes Curtis 45 minute to reach his friends house 9 miles away riding at 12 miles per hour.
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Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = -74.
makkiz [27]
Arithmetic sequence:
an=a1+(n-1)d
a_{17}= a_{1}+16d

-74=38 + 16d

16d=-74-38

16d=-112
d=-112/16=-7
a_{27}=a_{1}  + 26d=38+26*(-7)=38-182=-144
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3 years ago
The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). Th
ziro4ka [17]

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Step-by-step explanation:

Let the number of HCF be x.

Let the cost be y.

You are given 2 points of a line: (15, 32.84) and (43, 79.04).

Now we find the equation of the line that passes through those points.

y - y1 = m(x - x1)

y - 32.84 = [(79.04 - 32.84)/(43 - 15)](x - 15)

y - 32.84 = (46.2/28)(x - 15)

y - 32.84 = 1.65(x - 15)

y = 1.65x - 24.75 + 32.84

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Now we let x = 36 and solve for y.

y = 1.65(36) + 8.09

y = 67.49

3 0
4 years ago
The side lengths of a right triangle are 18 cm, 24 cm, and 30 cm. You are asked to find the area of the triangle by using A = 1/
vekshin1

Answer:

1. Use the Adjacent and opposite side (Ignore the Hypotenuse)

Or use HERO'S FORMULA based on the information given

2. Area = 216cm^2

Step-by-step explanation:

There are three to four ways we can go about finding the area of a triangle. And a these would be dependent on the information given about the triangle.

From the question, you said the three side lengths are given. In such case, we employ the HERO FORMULA.

HERO FORMULA:

Area = √ s(s-a)(s-b)(s-c)

where s = 1/2(a + b + c)

a, b, c are the three sides

But since the question insisted that we use 1/2* base * height. Let's use our know of right angle to dissolve that.

A right angle triangle has three sides. The longest is always the Hypotenuse.

Let's take it this way.

Hypotenuse = 30cm

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Area = 1/2 * base * height

Area = 1/2 * 18 * 24

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We ignored the longest side, (the Hypotenuse)

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3 years ago
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#1:

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Hope this helps!

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