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Svetllana [295]
3 years ago
9

I NEED AN ANSWER PLEASE!

Mathematics
1 answer:
Nata [24]3 years ago
7 0

Answer:

1×-5= -5squared =25+(4×-4squared)=25+(-16)=9

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Part B
Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is 4.6\ miles

Part B) The length of a straight line between the school and the hospital is 2.1\ miles

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

so

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

so

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(0,0) and C(4.3,1.7)

substitute

d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}

d=\sqrt{(1.7)^{2}+(4.3)^{2}}

d=4.6\ miles

Part B) we have that

The hospital is 3.1 miles west of the fire station

so

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(0,0) and D(1.2,1.7)

substitute

d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}

d=\sqrt{(1.7)^{2}+(1.2)^{2}}

d=2.1\ miles

7 0
3 years ago
This problem models pollution effects in the Great Lakes. We assume pollutants are flowing into a lake at a constant rate of I k
Alenkasestr [34]

Answer:

C(t) = I/F [1 - e^(-Ft/V) ] + C₀e^(-Ft/V)

as t = 0 ; C(t) = 1/F

Explanation:

dC/dt) = (-F/V)*C+(I/V)

To make it easier to solve, let

Constants: I, V,F

Variables: C, t

workings and solution can be viewed below

8 0
4 years ago
You decide to buy locally sourced watermelon for your food truck. You meet with a farmer on Long Island that has a rectangular w
ASHA 777 [7]

Answer:  126.48x+109.56  would be the largest possible perimeter if the area is 1000x + 750.

Step-by-step explanation:  Not 100% certain of this answer.

find square root...

31.62x+27.39

that would give us 4 sides and since perimeter of rectangle is 2l+2w...

4(31.62x+27.39)=

126.48x+109.56 would be the largest possible perimeter if the area is 1000x + 750.

3 0
3 years ago
What is the answer for 6
fenix001 [56]

Answer:

Non-Linear and there is symmetry

Step-by-step explanation:

6 0
3 years ago
Mr. Rucker has a choice of 243 television stations with his satellite provider. How is 243 written with an exponent using 3 as t
Otrada [13]
3 la puterea 6....................
4 0
3 years ago
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