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Ierofanga [76]
4 years ago
8

Joaquin has created a small treasure map that is in the shape of a square. He decides to make a larger version of the map, and o

n this new map he increases each side by 6 inches. The area of this larger version of the map is 121 square inches. What are the dimensions of his original, smaller map?
Mathematics
1 answer:
Kobotan [32]4 years ago
8 0

Answer:

The length of one side of the treasure map is 5.

Step-by-step explanation:

If the larger version of the map's area is 121 square inches, each side of the larger map is 11 since 121 is 11*11 (the "/" means divide and the * means multiply). So if Joaquin increased each side by 6 inches, 11-6 is 5. So, the answer is 5 inches.

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ikadub [295]

Given:

A table of values of a linear function.

To find:

The slope, y-intercept and equation of the function.

Solution:

Take any two points on the table.

Let the points are (-1, -3) and (0, -6).

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-6-(-3)}{0-(-1)}

$m=\frac{-6+3}{0+1}

$m=\frac{-3}{1}

m = -3

Slope of the function = -3

y-intercept of the function is the point where x = 0.

In the table y = -6 when x = 0

y-intercept = -6

Equation of a line:

y = mx + c

where m is the slope and c is the y-intercept

y = -3x + (-6)

y = -3x - 6

Equation of a function is y = -3x - 6.

3 0
4 years ago
F(x)=−6x+7, evaluate f(x+2)
lakkis [162]

Answer:

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Step-by-step explanation:

As we have f(x) =- 6x + 7, then we also have f(x+2) = - 6(x+2) + 7 = - 6x - 12 + 7 = - 6x - 5.

6 0
3 years ago
Seven more than the quotient of a number and 5 is equal 2
faust18 [17]

Answer:

-20

Step-by-step explanation:

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n = -20

8 0
3 years ago
Read 2 more answers
Triangle ABC is similar to triangle PQR. List all of the proportions that can be used to find n?
anzhelika [568]

Answer:

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Step-by-step explanation:

7 0
3 years ago
A solenoid has a magnetic field of magnitude 0.50T when carrying a current of 400 A. The solenoid is 8.0 m long. What is the num
mixer [17]

Answer:

The correct answer is "995.22 turns".

Step-by-step explanation:

The given values are:

Magnetic field,

B = 0.50 T

Current,

i = 400 A

Length of solenoid,

L = 8.0 m

As we know,

⇒ B=\mu_0ni

then,

⇒ n=\frac{B}{\mu_0i}

On substituting the given values, we get

⇒    =\frac{0.50}{4 \pi\times 10^{-7}\times 400}

⇒    =\frac{0.50}{5.024\times 10^{-4}}

⇒    =995.22 \ turns

4 0
3 years ago
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