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Anna11 [10]
3 years ago
7

Calculate the slope of the line that goes through the points (-2, 3) and (1, 4). *

Mathematics
1 answer:
Ugo [173]3 years ago
5 0

Answer:

slope = 1/3

Step-by-step explanation:

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How do you specify that y = 8x + C× is a general solution of the PD ./dy/dx − y = 6 (4 − x)?
Mariulka [41]

Answer:

I'm not sure but thank you and have a Merry Christmas

4 0
3 years ago
Read 2 more answers
A is 5 years older than T. In 3 years, T will be 2/3 A age. How old is A?
Ivanshal [37]

Answer:

12 years

Step-by-step explanation:

T + 5 = A

Therefore T =A - 5

In three years T = 3+ (A-5)

thus T = A - 2

Also in three years T = 2/3 (A+3)

Equating the two

A -2 = 2/3 (A+3)

3A - 6 = 2A + 6

3A - 2A = 6 + 6

Therefore A = 12

6 0
3 years ago
Find the total area the regular pyramid.
Ber [7]

Answer: 14\sqrt{3}

Step-by-step explanation:

1. You must apply the following formula for calculate  the total surface area the regular pyramid:

SA=\frac{pl}{2}+B

Where p is the perimeter of the base, l is the slant height and B is the area of the base.

2. The perimeter is, where s is the side length:

p=3s=3*4=12

3. The faces are isosceles traingles. So, to find the slant height you can divide one base into two equal right triangles and calculate the slant height with Pythagorean Theorem:

l=\sqrt{4^2-2^2}=2\sqrt{3}

4. The base is equal to any face, then both have equal areas. As previously you divide one base into two equal righ triangle to find the slant height, you can calcualte the area of one right triangle and multply it by 2 to calculate B:

B=2*\frac{bh}{2}=2*\frac{2\sqrt{3}}{2}=2\sqrt{3}

Finally substitute values:

SA=\frac{12*2\sqrt{3}}{2}+2\sqrt{3}=14\sqrt{3}

6 0
3 years ago
Read 2 more answers
Now, he wants to wrap it with wrapping paper. If the length of the shoebox measures 10 in, the width measures 5 in, and the heig
julia-pushkina [17]

The amount of wrapping paper he need to cover the shoebox is 190 square inches

<h3>Surface area of a box</h3>

The formula for calculating the surface area of a box is expressed as:

SA = 2(lw + wh + lh)

where

l is the length

w is the width

h is the height

Given the following parameters

l = 10in

w = 5in

h =3in

Substitute

S = 2(10*5 + 5*3 + 10*3)

S = 2(50+15+30)

S = 2(95)

S = 190 square inches

Hence the amount of wrapping paper he need to cover the shoebox is 190 square inches

Learn more on surface area of box here: brainly.com/question/26161002

#SPJ1

6 0
2 years ago
What is the period of the function y = 2sin x?. A. 2Pi. B. Pi. C. [-2,2]. D. All Real Numbers
Morgarella [4.7K]

Answer:

<h2>A. 2Pi</h2>

Step-by-step explanation:

The given function is

y=2sin(x)

Notice that the indepedent variable doesn't have any transformation, that means the period doesn't change. In other words, this function has the same period than its parent function which is 2\pi.

Therefore, the answer is A.

The image attached shows the graph of this function, there you can observe the period of the function.

Also, notice that this function is verticall stretched by a scale of 2, which doesn't change its original period.

8 0
3 years ago
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