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Lapatulllka [165]
4 years ago
15

One half the sum of a number z and 3 1/2 is 4 1/2

Mathematics
1 answer:
solong [7]4 years ago
3 0
4 1/2(2)=9. Multiply by 2 to get total
9- 3 1/2=z. Subtract 3 1/2 from total to get Z
5 1/2= Z
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If x + y = 2 and x - y = 6, solve for x and y.
anyanavicka [17]

Answer:

Step-by-step explanation:

Givens

x + y = 2

x - y = 6

Solution

Just add the two equations together. The y's will drop out.

x + y = 2

<u>x - y = 6 </u>             Add

2x = 8                 Divide by 2

2x/2 = 8/2          Combine

x = 4                   Substitute x = 4 into the top equation

x + y = 2

4 + y = 2             Subtract 4 from both sides

4-4+y=2-4          Combine

y = - 2    

Answer

x = 4

y = -2

7 0
2 years ago
Area of a Triangle
jek_recluse [69]

Answer:

3.51 (round to the nearest hundreds)

Step-by-step explanation:

PART A

slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5

equation of the line passing through B and perpendicular to AC:

y-3 = 1/5(x-3)

y-3 = 1/5x -3/5

y = 1/5 x - 3/5 + 3

y = 1/5 x + (-3+15)/5

y = 1/5 x + 12/5

PART B

line that passes through the points A and C

y-1 = -5(x-2)

y = -5x+10 + 1

y = -5x + 11

Interception of the lines

y = 1/5x + 12/5

y = -5x + 11

-5x + 11 = 1/5x + 12/5

-25x +55 = x + 12

26x = 43

x = 43/26

y = -5(43/26) + 11

y= -215/26 + 11

y = (-215+286)/26 = 71/26

D (1.65, 2.73)

PART C

AC = \sqrt{(1-2)^2 + (6-1)^2} = \sqrt{1 + 25} = \sqrt{26} = 5,09902

BD = \sqrt{(3-1.65)^2 + (3-2.73)^2} = 1,376735

PART D

AREA = (5,09902 * 1.376735)/2 = 3,509999

8 0
3 years ago
Find the measure of AB? using law of sines.
choli [55]
The Law of Sines states that
\frac{ac}{ \sin(b) }  =  \frac{ab}{ \sin(c) }
Therefore,
\frac{15}{ \sin(44) }  =  \frac{ab}{ \sin(53) }
Multiply both sides by sin(53):
ab = \frac{ \sin(53) \times 15 }{ \sin(44) }
AB = 17.25
The answer is D) 17
3 0
3 years ago
4x^2+8x-12 it needs to be factored :)
Arlecino [84]

Answer:4((x+3)(x-1))

Step-by-step explanation:

Factorize the common terms

4(x^2+2x-3)

Factorize

X^2+2x-3=(x+3)(x-1)

(X+3)(x-1)

4((x+3)(x-1))

3 0
3 years ago
Helppppppppppppppppp​
gavmur [86]
I believe a is the second and fourth options and b is the first and third
6 0
3 years ago
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