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Oksi-84 [34.3K]
3 years ago
10

Find an equation of the line parallel to the line y=5 and passing through -2,-3

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0
Y = 5x + c , ( -2 , -3 )
- 3 = 5 ( - 2 ) + c
c = 7
y = 5x + 7

i am a mathematics teacher. if anything to ask please pm me
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A 45-45-90 triangle has legs of length​ 3√2
qwelly [4]

Answer:

6

Step-by-step explanation:

the hypotenuse should be 3√2*√2=6

4 0
3 years ago
Fluffy, Spot and Skampy have a combined age in dog years of 91. Spot is 14 years younger than Fluffy. Skampy is 6 years older th
WITCHER [35]

Answer: fluffy = 33yrs

Spot = 19 yrs

Skampy = 39 yrs

Step-by-step explanation:

Let fluffy = x

Spot = y

Skampy =z

x + y + z = 91 -------1

x -14 =y ------2

z = x + 6 --------3

Put eqn 2 and 3 in eqn 1

x + x - 14 + x + 6 = 91

3x = 99

x = 33

y = 33-14= 19

z = 33+6 = 39

8 0
3 years ago
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a​ single-strand electric
larisa86 [58]

Answer:

525 x 1,050

A = 551,250 m²

Step-by-step explanation:

Let 'L' be the length parallel to the river and 'S' be the length of each of the other two sides.

The length of  the three sides is given by:

2S+L=2,100\\ L=2100-2S

The area of the rectangular plot is given by:

A=S*L\\A=S(2100-2S)\\A=2100 S -2S^2

The value of 'S' for which the area's derivate is zero, yields the maximum total area:

\frac{dA(S)}{dS}=\frac{d(2100 S -2S^2)}{dS}\\0= 2100 - 4S\\S=525

Solving for 'L':

L=2100-(2*525)\\L=1,050

The largest area enclosed is given by dimension of 525 m x 1,050 and is:

A = 525*1,025\\A=551,250\ m^2

5 0
3 years ago
Given the polynomial 21x 4 + 3y - 6x 2 + 34 What polynomial must be subtracted from it to obtain 29x 2 - 7 ? What polynomial mus
fredd [130]

Answer:

1. 21x⁴+3y-35x² + 41

2. -21x⁴-3y+6x² + x

Step-by-step explanation:

When adding and subtracting polynomials , you can use the distributive property to add or subtract the coefficients of like terms.

1. The polynomial is 21x⁴ + 3y -6x² + 34

To obtain polynomial 29x² -7 , we must subtract some polynomial from it.

Let that polynomial be k.

So, 21x⁴ + 3y -6x² + 34 - k =  29x² -7

k = 21x⁴ + 3y - 6x² +34 - 29x² +7 = 21x⁴ + 3y - 35x² + 41

2. To obtain a first degree polynomial, let that polynomial be x +34

So, 21x⁴ + 3y - 6x² + 34 + K = x + 34

K = x + 34 - 21x⁴ -3y + 6x² - 34

  = -21x⁴ - 3y + 6x² + x

6 0
3 years ago
Triangle Abc has vertices A(-2,5),B(1,0),andC(6,-2).what are the coordinates of the vertices of A’B’C for Ry-axis?
Andreyy89

Answer:

A'(2,5),B'(-1,0),C'(-6,-2)

Step-by-step explanation:

we know that

The rule of the reflection of a point across the y-axis is equal to

(x,y) -----> (-x,y)

so

Applying the rule of the reflection across the y-axis

A(-2,5) ----> A'(2,5)

B(1,0) -----> B'(-1,0)

C(6,-2) ---> C'(-6,-2)

4 0
3 years ago
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