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Eduardwww [97]
3 years ago
7

A) What is the equation of line A b) What is the equation of line B

Mathematics
1 answer:
dsp733 years ago
7 0

Answer:

the equation of line a is y = 4

The equation of line b is x=8

Step-by-step explanation:

Line A  -is a horizontal line with no slope  - for every value of x no matter what x is - y= 4

Line B has an infinite slope because it is vertical

For every value of y - no matter what y you choose  x= 8 So the equation of the line is x=8

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The first term of an AP is -7 and the ratio of the eight term to the third term is 7:1 calculate the common difference
alukav5142 [94]

Answer:

the common difference is 6.

Step-by-step explanation:

Given;

first term of an AP, a = -7

let the common difference = d

The third term is written as;

T₃ = a + 2d

The eight term is written as;

T₈ = a + 7d

The ratio of the eight term to third term = 7:1

\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 =  \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 =   \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6

Therefore, the common difference is 6.

4 0
3 years ago
The combined area of two squares is 17 square meters. the size of the larger Square are four times as long as the size of the sm
7nadin3 [17]

we are given that ,

The combined area of two squares is 17 square meters.

Area of square=(side)^2

Let the side length of smaller square be x

The size of the larger Square are four times as long as the size of the smaller square

Area \ of  \ smaller \ square \ =x^2

So Area of larger square=4x^2

The combined Area is 17 square meter.

x^2+4x^2=17\\\\5x^2=17\\\\x=\sqrt{\frac{17}{5}}

Hence the smaller square has the side length=\sqrt{\frac{17}{5}}

So the larger square has side length=2\sqrt{\frac{17}{5}}

5 0
3 years ago
In ΔUVW, the measure of ∠W=90°, VW = 29 feet, and UV = 69 feet. Find the measure of ∠U to the nearest degree.
AleksAgata [21]

Answer:

25

Step-by-step explanation:

4 0
3 years ago
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ki77a [65]
<span>A, 13/52 of the cards are hearts, + three more kings (king of hearts has already gone) = 16/52. divide 16 and 52 by 4 = 4/13.</span>
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3 years ago
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One number is three less than a second number. Six times the first is 6 more than 3 times the second. Find the numbers.
Karolina [17]

Step-by-step explanation:

Given,

x = y - 3

Also,

6(y - 3) = 3y + 6

6y - 18 = 3y + 6

6y - 3y = 6 + 18

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x = 8 - 3

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Therefore, the first number is 5 and the second number is 8.

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